# Math Help - Volume of Proportional Rectangular solids

1. ## Volume of Proportional Rectangular solids

The volumes of two rectangular solids having the same proportions are 250 and 128. if one edge of the larger solid is 25 in length, what is the length of the corrisponding edge on the smaller solid?

I am having trouble trying to solve the width and height for the larger rectangle. I think I need to do this to help find the length of the shorter rectangle. Is this the way I should be going about it or am I doing it all wrong.

Thanks

2. let $V_1$ be the smaller volume and $L_1$ the smaller length

$V_2$ be the larger volume and $L_2$ the larger length

$\frac{V_1}{V_2} = \frac{(L_1)^3}{(L_2)^3}$