Problems on Volumes : Aptitude Test

  • 1. The side of a cube is 8 m, Find the voiume? 
A.) 513 m3
B.) 514 m3
C.) 512 m3
D.) 502 m3

Answer: Option 'C'

Cube Volume = a3
a3 = 83 = 512 m3

  • 2. The side of a cube is 15 m, find it's surface area? 
A.) 1350 m2
B.) 1250 m2
C.) 1300 m2
D.) 1450 m2

Answer: Option 'A'

Surface area = 6 a2 sq. units
6 a2 = 6 × 225 = 1350 m2

  • 3. The side of a cube is 12 m, find the lateral surface area?
A.) 526 m2
B.) 506 m2
C.) 518 m2
D.) 516 m2

Answer: Option 'D'

Lateral surface = 4 a2 
4 × 122 = 4 × 144 => 516 m2

  • 4. The lateral surface area of cube is 100 sq.units. find the volume of cube?
A.) 122 m3
B.) 135 m3
C.) 125 m3
D.) 120 m3

Answer: Option 'C'

Lateral surface = 4 a2 = 100 sq.units 
a2 = 25 
a = 5. 
Cube volume = a3 => 125 m3

  • 5. The volume of cube is equal to the surface area of that cube. Then find the distance of side of the cube?
A.) 6 m
B.) 7 m
C.) 8 m
D.) 9 m

Answer: Option 'A'

Cube volume = a3 cubic units 
Surface area = 6 a2 sq.units 
a3 = 6 a2
a = 6 m