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If the surface area of a cube is 3750 sq. cm. then find the volume of the cube?
Question

If the surface area of a cube is 3750 sq. cm. then find the volume of the cube?

A.

14255 cubic cm

B.

12225 cubic cm

C.

15625 cubic cm

D.

16625 cubic cm

Correct option is C

Given:
Surface area of a cube is 3750 sq. cm
Formula Used:
Surface area of cube = 6a^2
Solution:
Surface area of cube = 3750 cm^2
As we know that the surface area of cube = 6a^2 and volume =a^3
6a^2=3750
a^2=625
a=25
Therefore, the volume of the cube = a^3= 25^3=15625cm^3

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