Question

Surface area of one face of a cube is 64 cm. Find the volume of this cube.

Answer 1

Solution -: We are given Surface area of one face is 64 cm^2

So area of one face will be L^2 = 64
So we have to solve for L
L =sqrt root( 64) = sqrt( 8*8) Since 8 is in pair so one 8 will be come out side from square root
So we got side ( L) = 8 cms
Now volume of cube = L^3
Volume = ( 8)^3 = 8*8*8 = 512 cm ^3 answer.