## Volumes – Aptitude Questions and Answers

Volumes aptitude questions and answers section with explanation. Practice online test for various interview, competitive and entrance exams.

Practice Online: Aptitude Questions and Answers

1. If in a box of dimensions 6 m * 5 m * 4 m smaller boxes of dimensions 60 cm * 50 cm * 40 cm are kept in it, then what will be the maximum number of the small boxes that can be kept in it?

A.500        B.1000        C.900        D.600

Explanation:

6 * 5 * 4 = 60/100 * 50/100 * 40/100 * x
1 = 1/10 * 1/10 * 1/10 * x => x = 1000

2. Calculate the number of bricks, each measuring 25 cm * 15 cm * 8 cm required to construct a wall of dimensions 10 m * 4 m * 5 m when 10% of its volume is occupied by mortar?

A.4000        B.5000        C.6000        D.7000

Explanation:

10 * 4/100 * 5 * 90/100 = 25/100 * 15/100 * 8/100 * x
10 * 20 * 90 = 15 * 2 * x => x = 6000

3. A rectangular field 30 m long and 20 m broad. How much deep it should be dug so that from the earth taken out, a platform can be formed which is 8 m long, 5.5 m broad and 1.5 m high where as the earth taken out is increase by 10/5?

A.12 cm        B.10 cm        C.18 cm        D.24 cm

Explanation:

30 * 20 * x = (8 * 5.5 * 1.5)/2
x = 10

4. The sides of a cube are in the ratio 1:2 the ratio of their volume is?

A.1:2        B.1:4        C.1:8        D.2:1

Explanation:

1:8

5.The diameters of two spheres are in the ratio 1:2 what is the ratio of their surface area?

A.1:2        B.1:4        C.2:1        D.4:1

Explanation:

1:4

6. Surface area of two spheres are in the ratio 1:4 what is the ratio of their volumes?

A.1:64        B.1:8        C.1:4        D.8:1

Explanation:

1:8

7. The height of two right circular cones are in the ratio 1:2 and their perimeters of their bases are in the ratio 3:4, the ratio of their volume is?

A.3:8        B.9:16        C.9:32        D.9:64

Explanation:

9:32

8. The diameters of two spheres are in the ratio 1:2 what is the ratio of their volumes?

A.3:4        B.9:16        C.1:8        D.4:3

Explanation:

1:8

9. A brick measures 20 cm * 10 cm * 7.5 cm how many bricks will be required for a wall 25 m * 2 m * 0.75 m?

A.24000        B.23000        C.22000        D.25000

D

Explanation:

25 * 2 * 0.75 = 20/100 * 10/100 * 7.5/100 * x
25 =  1/100 * x => x = 25000

10. In digging a pond 20 m * 10 m * 5 m the volumes of the soil extracted will be?

A.100 cu.m    B.1000 cu.m    C.10000 cu.m    D.2000 cu.m

Explanation:

20 * 10 * 5 = 1000

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