Question

the area of a face of a cube is 64m‌‌‌^2. find its volume.


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Answer 1

Answer:

area of face = a²= 64m²

a=√64= 8m

volume = a³=8³=512m³

Answer 2

Given ,

Area of cube = 64 m²

We know that , the area of cube is given by

$\boxed{ \sf{Area = {(a)}^{2} }}$

Where ,

a = side

Thus ,

64 = (a)²

a = √64

a = ± 8 m

Since , the length can't be negative

$\therefore$ The side of cube is 8 m

Now , the volume of cube is given by

$\boxed{ \sf{Volume = {(a)}^{3} }}$

Thus ,

Volume = (8)³

Volume = 512 m³

Therefore ,

• The volume of cube is 512 m³