Question

A box with a square base is having a volume of 8 cubic meters. Let x be the length of the side of the square base and height of the box. What are the possible measurements of a side of the square base if the height should be longer than a side.​

Answer 1

Volume of cube = (Length)^3
Volume of cube = 8
Length = 3 root8
Length = 2

Proof: 2^3 = 8 OR 2 x 2 x 2 = 8
Hope it helps you

Answer 2

in the question it is given as

box is square base

volume is 8 cubic meters

x be the length of side

hence by formula

x^2 h = 8

x = sqrt(8/h)

if h = x

x = h = 2

if x > h, not allowed

if x < h

then h > 2

so

x < 2