Question

Cube A and cuboid B have the same volume. Calculate the missing length on cuboid B. Do not include units.

Answer 1

Check the picture below.

since the one on the left is a cube, all its sides are equal, and we know the cube and cuboid both have the same volume, so

`\stackrel{ \textit{\LARGE volumes} }{\stackrel{ cube }{(8)(8)(8)}~~ = ~~\stackrel{ cuboid }{(x)(4)(8)}}\implies 512=32x\implies \cfrac{512}{32}=x\implies 16=x`