Question

If a cube has surface area S and volume V, then find the volume of the cube of surface area 7S.

Answer 1

surface area = 6×side^2

let ,the side be a
then surface area = 6a^2
==> S = 6a^2
$= = > \sqrt{ \frac{s}{6} } = a$
but , volume = a^3
if surface area is S ,then volume = a^3
$= (\sqrt{ \frac{s}{6} }) ^{3} \\ = \frac{s}{6} \sqrt{ \frac{s}{6} }$
hope this helps.....