[CLASS 9] Mathematics MCQs on Volume of a Cuboid and Answers

Mathematics Multiple Choice Questions on “Volume of a Cuboid”.

1. Volume of a cuboid of length l, breadth b and height h is given by __________
a) l * b * h
b) l³
c) l²
d) π * l * b * h

Answer: a
Clarification: Volume of a cuboid of length l, breadth b and height h = l * b * h

2. Volume of a cube of sides equal to l is given by __________
a) l * b * h
b) l³
c) l²
d) π * l * b * h

Answer: b
Clarification: Volume of a cube of sides equal to l is given by l³.

3. Volume of a cuboid is 1176cm³, its length and breadth are 12cm and 7cm respectively. What is the height of the cuboid?
a) 24cm
b) 11cm
c) 14cm
d) 20cm

Answer: c
Clarification: We know that the volume of a cuboid = l * b * h
12 * 7 * h = 1176
h = 14cm.

4. A wall of dimensions 3m * 12cm * 7m is to be made by using bricks of dimesions 25cm * 12cm * 10cm. How much bricks are required to construct the wall?
a) 825
b) 820
c) 850
d) 840

Answer: d
Clarification: For wall, length = 3m = 300cm, breadth = 12cm and height = 7m = 700cm
Volume of the wall = 300 * 12 * 700
= 2520000cm³
Volume of bricks = 25 * 12 * 10
= 3000cm³
Number of bricks required = (frac{Volume ,of ,the ,wall}{Volume ,of ,one ,brick})
= 252000/3000
= 840.

5. What is the cost of digging a pit of cuboidal shape dimensions of which are 5m * 6m * 3m at the rate of ₹35/m³?
a) ₹3000
b) ₹3150
c) ₹3375
d) ₹3225

Answer: b
Clarification: Volume of the pit = 5 * 6 * 3
= 90m³
Cost of digging of 1m³ = ₹35
Therefore, cost of digging 90m³ = 90 * 35
= ₹3150.

6. A village has population of 1500 people and requirement of water per head is 200 litres. Water container providing water has dimensions 15m * 25m * 12m. For how many days would the water in the container last? (1000 litres = 1m³)
a) 10 days
b) 18 days
c) 12 days
d) 15 days

Answer: d
Clarification: Requirement of water of village for one day = 1500 * 200
= 300000 litres
= (frac{300000}{1000}) m³
= 300m³
Volume of the water container = 15 * 25 * 12
= 4500m³
Number of days for which the water in the container would last = (frac{Volume ,of ,the ,container}{Water ,requirement ,of ,village ,for ,one ,day} = frac{4500}{300})
= 15 days.

7. A water is flowing through the tap at the rate of 50 cm³/s. What is the time requires to fill the container of dimensions 20cm * 10cm * 10cm?
a) 40 seconds
b) 30 seconds
c) 45 seconds
d) 50 seconds

Answer: a
Clarification: Volume of the container = 20 * 10 * 10
= 2000cm³
Time required to fill the container = (frac{Volume ,of ,container}{Flow ,rate ,of ,water})
= 2000/50
= 40 seconds.