Area and Volume Multiple Choice Questions
1. The cost of levelling a rectangular ground at Rs. 1.25per m2 is Rs. 900. If the length of the ground is 30 m, then the width is
(A) 20 m
(B) 24 m
(C) 28 m
(D) 32 m
2. If the side of a square be increased by 4 cms, the area increases by 60 cms2 . The side of the square is
(A) 5.5 cm
(B) 10 cm
(C) 12.5 cm
(D) 15 cm
3. If the surface areas of two spheres are in the ratio of 4:25 then the ratio of their volume is
(A) 4:25
(B) 25:4
(C) 125:8
(D) 8:125
4. The ratio of the area of a square to that of the square drawn on its diagonal is
(A) 1:1
(B) 1:2
(C) 1:3
(D) 1:4
5. The length of the longest rod that can be placed in a room of dimensions 10m x 10m x 5m is
(A) 10 m
(B) 15 m
(C) 20 m
(D) 25 m
6. The radius of a circular cylinder is the same as that of a sphere. There volumes are equal. The height of the cylinder is
(A) 1/3 times its radius
(B) 2/3 times its radius
(C) ½ times its radius
(D) 4/3 times its radius
7. Find the surface area of a cube when its volume is 729 mm3.
(A) 332mm2
(B) 486mm2
(C) 432mm2
(D) 211mm2
8. Find the total surface area of a pyramid having a slant height of 6 cm and a base which is a square of sides 4 cm each.
(A) 64cm2
(B) 22cm2
(C) 33cm2
(D) 75cm2
9. Find the area of a triangle if its breadth and length are 8cm and 15cm respectively.
(A) 60cm2
(B) 22cm2
(C) 34cm2
(D) 24cm2
10. What is the area of an equilateral triangle with each side being 8cm long?
(A) 13cm2
(B) 22√3cm2
(C) 54cm2
(D) 16√3cm2
11. The perimeter of a triangle is 14cm and its inradius is 3cm. What is the area of this triangle?
(A) 54cm2
(B) 32cm2
(C) 21cm2
(D) 42cm2
12. Areas of two circles are in the ratio 1:2. What will be the ratio of their circumferences?
(A) 3:√2
(B) 2:3
(C) 1:√2
(D) 4:9
13. Find the circumference and area of a circle with radius 2.6 cm.
(A) 16.3cm and 21.23cm2
(B) 44cm and 2.56cm2
(C) 12cm and 23.2cm2
(D) 34cm and 78cm2
14. The parallel sides of a trapezium measure 6cm and 8cm. Calculate its area if the distance between the parallel lines is 15cm.
(A) 345 cm2
(B) 441 cm2
(C) 112 cm2
(D) 105 cm2
15. If the radius of the sphere is 3r then what is its volume?
(A) 18πr3
(B) 36πr2
(C) 36πr3
(D) 22πr3
16. Find the area of a circle with circumference 108 cm.
(A) 910.56 cm2
(B) 915.04 cm2
(C) 908.18 cm2
(D) 927.81 cm2
17. The area of a circle directly varies with the square of its radius. If the area of a circle with radius 5 cm is ‘C’ cm2, find the area of the circle with radius 25 cm.
(A) 13C cm2
(B) 25C cm2
(C) 11C cm2
(D) 34C cm2
18. Find its area when a sector has an angle 15o and is cut out from a circle of radius 28cm.
(A) 1026.7 cm2
(B) 1028.8 cm2
(C) 1027.6 cm2
(D) 1020.7 cm2
19. The circumference of two circles are in the ratio 1:9. The ratio of their area is:
(A) 4:9
(B) 81:16
(C) 9:4
(D) 1:81
20. The base and height of the triangle are in ratio 2:5. If the area of the triangle is 245 cm2 find the base and height of the triangle.
(A) Height 9cm and Base 7cm
(B) Height 14cm and Base 35cm
(C) Height 1cm and Base 22cm
(D) Height 64cm and Base 10cm