Category: Maths Notes PPT

A scalene triangle is a triangle whose all the three sides are of unequal length and all the three angles are of different measures. However, the sum of all the three interior angles is always equal to 180° degrees.

In this article, you will learn about various methods to find the area of a scalene triangle.

The area of a scalene triangle is the amount of space that it occupies in a two-dimensional surface. So, the area of a scalene triangle can be calculated if the length of its base and corresponding altitude (height) is known or the length of its three sides is known or length of two sides and angle between them is given.

Properties of a Scalene Triangle

• Has three unequal sides

• Has no equal angles

• Does not have a point in symmetry

• Does not have a side of the symmetry

• Angles inside it can be acute, obtuse, or right-angled.

• Whenever the angles lying inside are less than 90 degrees, that is, an acute angle.

In this case, the center of the circumscribing will tend to lie inside the triangle.

Types of Scalene Triangle

The scalene triangle also has types, those are given below:

In this article, we will get to know about different types of ways through which we can measure the area of the scalene triangle. The area is the total amount of space it occupies. The area can be calculated by the base and altitude or by knowing the length of the three sides or by the length of any two sides and the angle between them.

First Method:-

The first method by which an area can be calculated is if we know its base and altitude.

The area of a scalene triangle is given as =1/2 × base × height (altitude) sq. units

=1/2 × b × h sq. units

Second Method:-

The second method by which area can be calculated is if the length of all three sides is given.

The area is calculated through Heron’s Formula i.e.= √s(s−a)(s−b)(s−c) sq.units.

Here, a, b and c; are the length of the sides of the given triangle and s is the semi-perimeter of the triangle i.e. (a+b+c)/2

Third Method:-

This method is used if we know the length of any two sides of a triangle and the angle between them.

Area of triangle= 1/2 × a × b × sinC sq units. 

Here, a and b are the length of the two sides and c is the given angle between them. These methods are very important in the study of triangles and mostly all the questions are based on this research.

Solved Examples:

1. Find the height of the scalene triangle whose area is 12 sq. cm and one of its sides length is 6cm.

Solution:
let the base of the scalene triangle be 6cm and corresponding height be ‘h’ cm.
Given, area of scalene triangle = 12 sq. cms 

⇒ [frac{1}{2}] × (base) × (height) = 12 sq.cms

⇒ [frac{1}{2}] × 6 × h = 12 sq.cms

⇒ h = [frac{12left ( 2 right )}{6}] = 4 cm

2. Find the area of a triangular plot whose sides are in the ratio of 3:5:7 and have a perimeter of 300m.

Solution: 
Given, ratio of sides of triangular plot is 3:5:7

Let the sides of triangular plot be a = 3x, b = 5x and c = 7x 

It is given that its perimeter = 300m

⇒ a + b + c = 300⇒ 3x + 5x + 7x = 300⇒ 15x = 300⇒ x = 20So, sides of rectangular plot are: 

a = 3x = 3 × 20 = 60m

b = 5x = 5 × 20 = 100m

c = 7x = 7 × 20 = 140m

And, semi perimeter = s = [frac{parameter}{2}] = [frac{300}{2}] = 150m

Now, the area of scalene triangle using Heron’s formula = [sqrt{sleft ( s-a right )left ( s-b right )left ( s-c right )}]

Putting the respective values in the above formula,

Area of scalene triangle = [sqrt{150left ( 150-60 right )left ( 150-100 right )left ( 150-140 right )}] sq. mts

      = [sqrt{150left ( 90 right )left ( 50 right )left ( 10 right )}] sq. mts

    = 1500[sqrt{3}] sq. mts

Therefore, the required area of triangular plot = 1500 [sqrt{3}] sq. mts

3. Find the area of a scalene triangle whose two adjacent sides are 8cm and 10cm and the angle between the sides is 30° .

Solution:
Let the two adjacent sides of the scalene triangle be a = 8cm and b = 10cm, the angle included between these two sides,  ∠C =30°. 

So, the area of the scalene triangle = [frac{1}{2}] × a × b × sinC sq. units

= [frac{1}{2}] × 8 × 10 × sin30° sq. cms

= [frac{1}{2}] × 8 × 10 × [frac{1}{2}] sq. cms

= 40 sq. cms

The students are taught the concept of Orders to develop a better logical, analytical, and practical thinking approach towards things in general. Ascending Order is a concept of arranging the numbers which are helpful for the students in a number of ways which have been discussed later here. Also, it is imperative for the students to take good care of the Mathematical concepts by memorizing them over a period of time by regularly practicing so that the students are regained in the long term memory.

provides the students with all the study material required by the students for practicing these concepts from Class 1 to 12 in a manner that is comprehendible, easy, and well to learn through them. Also, we provide the students with the solutions for the textbooks of various boards and educational institutes to help the students clear their doubts at the earliest.

What is Ordering?

Arranging the numbers one by one is considered as Ordering. There are two types of Ordering. 

1. Ascending Order: In this Order, the numbers are arranged from lowest to highest.

2. Descending Order: In this Order, the numbers are arranged from highest to lowest.

 

Tricks Applied to Arrange the Numbers in Ascending Order

E.g., In 8, 15 the smallest number comes first i.e., 8 and then 15

E.g., In 15, 28. The number 15 is smaller than 28. So, it comes first.

E.g., in 18 and 11, the first digit 1 is the same in both. 8 is more than 1. So 18 is bigger than 11.

 

Ascending Order Symbol

For Ascending Order mostly we use the upward arrow or the arrow towards the right. The word “Ascending” means go upwards, so the symbol is the arrow directed upwards. 

In a number line, the negative numbers are denoted at left, while the positive numbers are denoted at right. So in Ascending format, the numbers continuously increase in magnitude from left to right. The symbol will be a right arrow.

Example: 2 > 5, -20 > 10

 

What Does Ascending Order Mean?

When we access huge amounts of data to work, it is difficult to put it in a particular Order. Ordering helps us to sort and filter the data in an organized form. When data are arranged from the smallest to the largest manner, it is called Ascending Order.

 

Use of Ascending Order

It is used mostly in Mathematics, data sorting, date calculation, numerical calculation, and alphabetical arrangement of words and letters. It helps to make data simpler and easy to understand. 

• When using such an Order some important rules are always to be followed.

• Always start with the smallest number or amounts

• Numbers should be sorted in Ascending Order

• The last number should always be the highest number

• For letters or words, arranged alphabetically

• For alpha-numeric first, the numbers sorted from “0” to “9” and then the letters followed from “a” to “z”

• For dates and places, the oldest dates should come first.

 

Ascending Order in Math

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Ascending Order means Increasing Order. When we arrange or Order numbers from the smallest to the greatest we call it Ascending Order. Let us see how to put the numbers 23, 12, 41, 62, 19 in Ascending Order. i.e., 12, 19, 23, 41, 62

Example: Write the missing numbers in Ascending Orders?

2, _, 4, _, 6, _

Answer: 2, 3, 4, 5, 6and 7

Ascending Order may be sequential Ascending Order, which can be counted by adding 1 in each number.

Example: 2 + 1 =3

    3 + 1 = 4

The Order may skip counting by adding any arbitrary number.

e.g., 10, 15, 25, 35, 48, 55, 65, 70

An integer on a number line is always greater than every integer on its left and lesser than every integer on its right.

Example: -5 < -4

->A negative number is less than any positive number. 

Example: 15 > -41

->Integers increase in value, as we go to the right on the number line.

Example: -1> -3, 7 > -8, 9 > 2

->Integers decrease in value, as we go to the left on the number line.

Example: -3<5, - 9 < 0

Example: Arrange the integers

−3,0,−5,5,4,−1

−3,0,−5,5,4,−1 in Ascending Order.

Solution: Arrange the numbers on a number line.

-5  -4  -3  -2  -1  0  1  2  3  4  5

Integers to the right of zero in the increasing Order- (0, 4, 5)

Integers to the left of zero in the increasing Order- (-5, -3, -1, 0)

So, Ascending Order: (-5, -3, -1, 0, 4, 5)

 

Ascending Order and Descending Order

Ordering requires a comparison between the largest and smallest. When numbers are sorted from lowest to the highest Order, the Order is called an Ascending Order. While the numbers are sorted from highest to lowest Order, the Order is called a Descending Order.

Example: Arrange the numbers in Descending Order.

52, 16, 32, 89, 65, 76

Solution:

89, 76, 65, 52, 32, 16

Example: Write 22 to 26 in Ascending Order.

Answer: 22, 23, 24, 25, 26

Example: Write 45 to 40 in Descending Order.

Answer: 45, 44, 43, 42, 41 and 40

Ascending or Descending Order is required for the arrangement of data from oldest to newest and vice-versa in the data arrangement system.

 

Ascending Order of Alphabets

When we make an arrangement
of data in alphabetical Order, Ascending Order is most useful. In a dictionary, when we search a particular word from a huge amount of data, such Ordering is required.

Searching any particular word from the dictionary has been made possible due to the arrangement of data in Ascending form.

 

Ascending Order in Fractions

A fraction is a ratio between numerator and denominator. While Ordering the fraction, we follow different rules.

By comparing the numerators having the same denominators; numbers are arranged in Order. The smallest numerator is recognized as the smallest fraction having the same denominator.

Example: Write the numbers in Ascending Order 3/7, 8/7, 9/7, 4/7

Answer: First compare the numerators as all these numbers have the same denominators 7

We get, 3 < 4 < 8 < 9

So, 3/7, 4/7, 8/7, 9/7

By comparing the denominators having the same numerator; numbers are arranged in Order. The fraction with the highest denominator is recognized as the smallest fraction having the same numerator.

Example: Write the numbers in Descending Order 3/8, 3/5, 3/4, 3/7

Answer: First compare the denominator, as all these numbers have the same numerators 3

So on comparing the denominator,

4 < 5 < 7 < 8

So, 3/8, 3/7, 3/5, 3/4 

First, equal the denominators of every fraction. Then compare them accordingly, as described earlier.

Example: Arrange the numbers in Ascending Order

2/5, 4/6, 3/5, 1/3

Answer: First, find out the LCM of all denominators in the given numbers. That is 30

To make a similar fraction, convert each number into equivalent fractions.

2/5× 2/6 = 12/30

4/6 × 5/5 = 20/30

3/5 × 6/6 = 18/30

1/3 × 10/10 = 10/30

The equivalent fractions are arranged in Ascending Order, we get:

10/30 < 12/30 < 18/30 < 20/30

So, 1/3 < 2/5 < 3/5 < 4/6

Basic algebra is that domain of math that is one step more conceptual than arithmetic. Know that arithmetic is the molding of numbers through basic mathematical operations. Algebra institutes a variable, which represents an unknown number or can be alternated for a whole group of numbers. 

Basic arithmetic questions pose numerical problems such as 3 + 6 = ? Algebraic concepts, on contrary, ask basic algebra questions like: If x + 6 = 9, find the value of x? Instead of instantly identifying a basic sum, we have to perform additional work to solve for an unknown.

Basic Algebra Rules  

Once you master the basic rules of mathematics, you’ll have the technique to tackle higher levels of mathematics. 

Following Are the Rules Commonly Performed in Algebra

1. Adding And Subtracting Like Terms

For the purpose of adding or subtracting any terms in algebra, your terms should be like terms, which have a similar variable and are raised to the same power. If your data consists of like terms, you add or subtract the numbers linked to the variable, known as the coefficients. The variable itself is consistent i.e. does not change. Let’s take a look at an example:

-2x + 5y + 4x – 2y

(-2x + 4x) + (5y – 2y)

(-2 + 4)x + (5 – 2)y

2x + 3y

Application and Process of Adding and Subtracting Like Terms

We need to follow the below stated step-by-step procedure:-

• Reorder our terms to group them by like terms.

• Rewrite the like terms to only have the coefficients inside and the variable outside of parentheses.

Note: Although rewriting is not mandatory, it helps showing the Math we completed in the final step to arrive at the correct answer of 2x + 3y.

This type of math is called simplifying expressions. When you are to solve an algebraic equation like this, it is very important to keenly consider + and – signs as affixed to a term. Take into account the following:

-5a + 6b = 3a – 2b

-2a + 4b

Important Point to Remember while Adding and Subtracting Terms

Remember that we can only add or subtract like terms.

Reason Behind Adding and Subtracting Only Like Terms

Let’s make you easily understand this using an example. Suppose that, in a kitchen shelf we have 4 plates and 2 bowls. We will not be able to add the 4 plates to the 2 bowls – since they are not similar types of object.

We go get another 6 pencils and 6 books. Altogether we now have 10 plates and 8 bowls. We are unable to combine these quantities, seeing that these are different types of objects.

Likewise, in algebra, we can only add (or subtract) the same “objects”, or those with the similar letter raised to the same power. For example:

Example:

Simplify 9x + 5y − 6x + 7b

Solution:

Given: 9x + 5y − 6x + 7b

The only like terms in this expression are 9x and -6x

We are unable to do anything with the 5y and 7b

Thus, we will only group the terms (like) we can subtract, and leave the remaining as it is:

(9x − 6x) + 5y + 7b

= 3x + 5y + 7b

= 7b + 3x+ 5y (We generally display our variables in alphabetical order, but it is not mandatory).

2. Multiplying and Dividing Like Terms

In order to multiply or divide terms, we need not require consisting of like terms. This algebraic rule is different from addition and subtraction, so be cautious! Let’s consider an example of a basic multiplication with a variable:

Example: Multiply x2(x7 + 5a)

Solution: We do the expansion applying the distributive law:

X2(x7 + 3a)

= x9 + 3ax2

We are unable to simplify this answer further.

How to Combine Like Terms?

Let’s take an example. Alisha’s mother bought home 6 peaches, 3 apples and a melon and put them in the fruit basket. Father came home with 2 peaches and an apple and put them in the basket. Write an algebraic equation for what mother bought and what father bought home.

Use ‘p’ for peaches, ‘a’ for apples, and ‘m’ for melon. Then add up the two expressions and write an equation for what is ultimately in the bowl.

Let’s combine the like terms:

Mother: 6p + 3a + m

Father: 2p + a

Total: 6p + 3a + m + 2p + a = 8p + 4a + m

= 4a + m + 8p

By tossing your coin, either you have heads or tails. A condition that gives you only 2 results is said to be a Binomial Distribution. Also referred to as Binomial Probability Distribution, this mathematical concept has important applications in statics and many from probability theories. The popular ‘binomial test of statistical importance’ has the Binomial Probability Distribution as its core mathematical theory. Considering its significance from multiple points, we are going to learn all the important basics about Binomial Distribution with simple real-time examples.

A Brief Account of What is Binomial Distribution 

The results from a Binomial Probability Distribution will always have 2 outcomes only. So, there are 2 parameters to denote a Binomial condition.

There is also this concept called the “Boolean-valued outcome”. The 2 outcomes for a question-like experiment is either YES or NO. As per the Boolean-value, the rate of success or failure for this condition can be denoted as 1/true/success/yes which is the binomial probability distribution of “p” and 0/false/failure/no can be represented with q = 1 − p. We have 3 more additional definitions to learn here as follows.

Bernoulli Trial – Getting either failed or success in an experiment Bernoulli Trial. This single-outcome result is also termed Bernoulli Experiment.

Bernoulli Distribution – To represent a single condition or experiment, the Bernoulli Distribution is preferred, where n=1.

Bernoulli Process – When there are more than 2 outcomes (series of results), then this sequencing is Bernoulli Process.

Defining Negative Binomial Probability Distribution

Consider the case of a discrete binomial probability distribution. The Bernoulli trials are identical but independent of each other. Before computing the failures (“r”), the total count of success that occurs first is called the Negative Binomial Probability Distribution. 

To brief the concept with a simple example, consider tossing a pair of coins. Let the outcomes 2 Heads be the success and all other results be a failure. So, the pair of coins is tossed for 5 times, until both the coins have heads on them. Now, the “r” in the condition is 5 (rate of failure) and all the remaining outcomes, i.e. the tosses that did not have 2 heads is the negative binomial distribution. 

Binomial Distribution from Real-Life Scenarios 

Here are a few real-life scenarios where a binomial distribution is applied.

• Calculating the TRP of a Television channel, by taking a survey from households for whether they watch (YES) the channel or not (NO).

• In the manufacturing of a commodity, estimating between the used and unused materials (raw).

• 1 or 0 probability is the basis for finding the total count of votes for an electoral candidate. 

• Counting the total number of female and male employees in an office setup.

The General Formula of Binomial Probability Distribution

Considering any random variable, the binomial distribution can be represented as given below:

P(x:n,p) = nCx px (1-p)n-x 

OR 

P(x:n,p) = nCx px (q)n-x

In the case of n-Bernoulli trials, the formula is written as follows:

P(x:n,p) = n!/[x!(n-x)!].px.(q)n-x

KEYS:

“x” is any variable 0, 1, 2, 3…..

“n” denotes the total count of experiments

“q” gives the total  Failure Probability of a single experiment for 1 – p

“p” is the Probability rate of Success in a given experiment

Binomial Distribution and its 5 Major Properties

1. Every single trial is an independent condition and so, this will not impact the outcome of 1 trial to that of another.

2. For ‘n’ number of independent trials, only the total success is counted.

3. The rate of failure and success will vary across every trial completed.

4. Both these conditions are possible: “n” times repetition of trials and “n” count of independent trials 

5. Only 2 outcomes occur: Yes/No. Success/Failure. 1/0. Yes/No.

Conclusion 

Binomial Distribution can have only 2 outcomes. The characteristic of 1 will be positive and the other is negative. Statics and other mathematical fields make use of binomial probability distribution for finding the outcome for a set of independent experiments. The trial and outcomes vary across conditions. Having 2+ series of outcomes is said to be a  Bernoulli process while having n=1 is referred to as the Bernoulli Distribution. Bernoulli trial is nothing but getting either success or failure for a single experiment. Tossing a coin, rolling dice, writing an examination, counting the total number of votes, are some of the classic examples of Binomial Distribution. 

When it comes to studying Mathematics, the branch of Mensuration is considered to be one of the most practical branches. This is because Mensuration is the branch of Mathematics in which plane and solid figures like a cube, cuboid, sphere, cone, pyramid, etc. are studied with regards to their surface area and volume. For calculating this, there are specific formulas to be followed. Therefore, here in the Chapter Surface Area and Volume Class 9 by , all formulas of the plane (2D) and solid (3D) figures shall be discussed.

The students who have Math as a subject have to keep up with certain topics of importance such as the Surface Areas and Volumes. It can be said that there are a few of the topics that are of utmost importance. The reason is mostly due to the fact that these concepts come in handy to the students at the time of their higher education. The topics such as these are ones which the students can find the most interesting as well. It is important for any class 9 student to have a good understanding of some of the most basic concepts that there are. This will definitely come in aid for them while they have to appear for their Math exams and score well in them. 

There are a few of the topics that come in handy while getting prepared for your exams. When it comes to the topics such as the surface areas and volumes, one can get all the formulas. It is important that the students get to understand the formulas and learn them as well. There are specific formulas that the students learn so that they can apply them as per their knowledge. 

All Formulas of Surface Area and Volume Class 9 – The Figures

As stated earlier, the field of Mensuration is concerned primarily with the study of solid and plane figures. These figures are three-dimensional in nature and are observed in nature. For example, if one were to understand and calculate the surface area of a Rubik’s cube, they would look at the formulated way of obtaining its surface area and then can successfully understand its surface area. Thus, through these Surface Area and Volume Class 9 Formulas, some of those figures shall be learned about with regards to their surface area and volume.

Since this field of study is concerned with the figures and their dimensional calculations, the formulas of Surface Area and Volume Class 9 are the ideal formulas for three-dimensional study. So, the formulas that are proposed through the study of mensuration are referred to understanding the ideal figures and their dimensions. However, since no real object imitating a pyramid is ever ideal or perfect, these Class 9 Surface Area and Volume Formulas do not obtain the absolute dimensional answers to real-life objects that imitate a plane or solid figure.

The Formula of Surface Area and Volume Class 9 – A Brief Analysis of the Figures

All the formulas of Surface Area and Volume Class 9 have been derived and deduced through a thorough understanding of the various contributing elements of the figures such as its length, breadth, height, circumference, etc. This Class 9 Surface Area and Volume Formula set have therefore been provided with regards to the figures of the cube, cuboid, right circular cylinder, right circular cone, sphere, and hemisphere. Therefore, these are the figures that the Surface Area and Volume Formulas Class 9 deals with.

Class 9 Maths Surface Area and Volume All Formulas – The Complete List

Cube

Cuboid

• Surface Area: 2(LB+ BH+ LH).

• Lateral Surface Area: 2(L + B) H (where L= Length, B= Breadth and H= Height)

• Volume: LBH

Right Circular Cylinder

• Lateral Surface Area: 2 [ pi RH ].

• Total Surface Area:  [2pi R(H + R)] 

• Volume: [pi R^{2}H] (where R= Radius, H= Height).

Right Circular Cone

• Lateral Surface Area: [ pi RL ]

• Total Surface Area: [rho pi R(L + R)]

• Volume: [frac{2}{3}pi R^{2}H] (where R= Radius, L=Slant Height and H= Height)

Sphere

Hemisphere

• Curved Surface Area: [2pi R^{2}]

• Total Surface Area: [3pi R^{2}]

• Volume: [frac{2}{3}pi R^{3}] (where R= Radius).

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Centimeter also spelt as a centimetre, is a unit of length equivalent to 0.01 meter in the metric system. The SI symbol used to represent centimeters is cm. The centimeter is defined as the base unit of length in the old centimeter – gram – second (CGS) system of units.

 

A centimeter is a metric length measurement unit. The word centimeter is also spelt centimeter. Both spellings are correct and convey the same message. The abbreviation for centimeter is cm, which is sometimes written on a ruler. The centimeter is widely used to measure things that are too big for millimeters but too small for meters. A centimeter is close to the width of the fingernail of an average adult person.

A centimeter is similar to the imperial measurement unit of inches. When you look at the ruler, you’ll note that one side has markings for measuring centimeters, while the other side has marks for measuring inches.

Centimeter Scale

The centimeter-scale can be widely understood with the help of a ruler. A standard ruler measures up to 30 cm, as one shown below. When looking at the ruler, you will find cm along the top and inches (1 inch = 2.54 cm) along the bottom.

 

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1.Ruler –In mathematics, the most frequent measurement tool is a ruler. It’s used to weigh and measure small items like notebooks, pencils, and bottles. Most rulers are available in lengths of 15 cm and 30 cm and come with two measurement metrics: centimeters and inches.

2. Meter stick- A meter stick is a measuring device that measures one meter (hundred centimeters) and is used to measure objects in meters and centimeters. A meter stick can be used to measure things like the length of a table or the width of a bag.

Centimeter Chart

A centimeter chart can be constructed to represent the conversion of units from centimeters to other units of measurements such as meters, inches, feet, etc. Using the centimeter chart, we can easily learn the conversion of units from centimeters to other units of measurement. 

How to Convert from Meter to Centimeter?

• Meter -In the International System of Units, a meter, or meter (symbol: m), is the base unit of length and distance (SI). The meter is the distance that light travels in 1/299,792,458 of a second. The meter is the SI unit of length and is used in a variety of applications around the world, including measuring distance, height, length, and width.

• Centimeter -In the International System of Units (SI), the current form of the metric system, a centimeter (symbol: cm) is a unit of length. It is defined as one-hundredth of a meter.

When a smaller denomination of the meter is necessary, the centimeter, like the meter, is used in a variety of applications around the world (in nations that have adopted metrication).

Centimeters to Inches Conversion

As we know, 1 inch is equivalent to 2.54 cm in the metric system.

1 inch = 2.54 cm

Or

1 cm = 1/2.54 inches

Hence, to convert cm to inches, we will divide the centimeters value by 2.54.

We can also convert centimeters to inches by multiplying the centimeters value by 0.3937 because one centimeter is approximately equal to 0.3937 inches.

 

For Example:

To convert 10 cm to inches, we will either divide 10 cm by 2.54 or multiply 10 cm by 0.3937 to get the value in inches i.e 10 / 2.54 = 3.93700 inches or 100.3937 = 3.937 inches.

Hence, 10 cm = 3.9370 inches.

Centimeters to Inches Conversion Chart

 

Centimeters to Meters Conversion

To convert a centimeter measurement to a meters measurement, we will divide the centimeter value by 100 because 1 centimeter is equal to 1/ 100 meters.

For Example:

To convert 500 centimeters into meters, we will divide 500 cm by 100 i.e. 500/100 = 5m

Hence,  500 cm = 5 m.

Common Facts About Meter

1. A meter is made up of 100 centimeters.

2. One centimeter is made up of ten millimeters.

3. The metric unit of measurement is the centimeter, abbreviated as cm.

4. When computing an object’s surface area, the measurement unit is changed to cm2.

5. When measuring the volume of an object, the measurement unit is changed to cm3.

Follow These two Simple Steps to Convert Centimeters to Meters.

(Note: You’ll learn how to convert cm to m by hand first, then using a calculator afterwards.)

Convert 500 cm to Meters 

Let’s begin with a basic example in which you must convert 500 centimeters to meters.

Step 1: Multiply the number of centimeters by 100, as shown below:

500 divided by 100 equals five.

Step 2: Change the units of measurement to meters.

5 m = 500 cm

That concludes our discussion. 

500 centimeters equals 5 meters in the end.

Centimeters to Feet Conversion

To convert a centimeter measurement to a feet measurement, we will multiply the centimeter value by 0.0328084 because 1 cm is approximately equal to 0.0328084 feet.

 

For Example:

To convert 5 centimeters into feets, we will multiply 5 cm by 0.0328084 i.e. 5 0.0328084 = 0.164042 feet.

Hence,  5 cm = 0.164042 feet.

 

Centimeters to Feet Conversion Chart

Fun Facts About Centimeter 

1. The word “centimeter” is derived from the Latin word centum, which means “hundred,” and the French word mètre, which means “measurement.”

2. The term “centimeter” was initially coined in 1801 and has since become extensively used.

3. You multiply by 100 when moving backwards from m to cm.

4. If you start with meters then convert to centimeters, then back to meters, or vice versa, you’ll end up with the same number.

You can use one of the numerous free online centimeters to meters conversion calculators if you need a quick and easy way to convert between different units of measurement, such as centimeters to meters (cm to m).

Uses of Centimeters 

1. In addition to its use in terms of height, centimeters are used:

2. Sometimes, reporting rainfall as measured by a rain gauge in the CGS system, centimeters are used to measure power, where 1 cm of capacitance = 1.113 × 10-12 farads. On maps, inches are used to make the transition from a map scale to a real-world scale (kilometers) second-minute representation (cm4) such as the kayser cross, the CGS unit, as well as the non-SI metric unit of the wavenumber: 1 kayser = 1 centimeter; or, more commonly, (wave number in kaysers) = 1 / (wavelength in inches). The SI unit of the waven number is the opposite meter, m-1.

 

Solved Examples

 

1. What is the value of 30 cm in inches?

Solution:

As we know, 1 cm = 0.3937 inches

To get the value of 30 cm in inches, we will multiply 30 cm by 0.3937.

=  30 × 0.3937

= 11.811 inches

Hence, 30 cm is equal to 11.811 inches

 

2. How to convert 43 cm into feet?

Solution:

As we know, 1 cm = 0.0328084 ft

To convert 43 cm into feet, we will multiply 43 cm by 0.0328084 feet.

=  43 × 0.0328084

= 1.4107612 inches

Hence, 43 cm is equal to 1.4107612 inches.

 

3. What is the value of 50 cm in meters?

Solution:

As we know, 1 cm = 1/100 m

To get the value of 100 cm in meters, we will divide 50 cm by 100.

=  50/100

= 0.5 meters

Hence, 50 cm is equal to 0.5 meters.