Question

find the volume of the cube one face of which has an area of 64m2

Answer 1

One face of the cube is called square

So, area of square, a²=64

a=8 So, side of the cube wiil be 8.

Now, volume of cube, a³=8³ = 512 m³ ANS...

Answer 2

Let the length of each side of the cube = x 

Area of one square face = $64m^{2}$

So , $s^{2}$ = 64

s = $\sqrt{64}$ = 8m

Now , the volume of the cube  = s3 = $8^{3}$ = $512m ^{2}$