Question 350530
First off, lets transform the word problem into algebra so we understand what we are working with here.

{{{Height (H) = X inches}}}
{{{Weight (W) = 1.5X inches}}}
{{{Length (L) = 16 inches}}}
{{{Volume (V) = 2000 cubic inches}}}

The volume of a rectangular prism is
{{{V = H*W*L}}}

So the next step, now that we have listed our given information, is to plug it into the formula.

2000 cubic inches = X inches * 1.25X inches * 16 inches
2000 cubic inches / 16 inches = 125 square inches
125 square inches = X inches * 1.25 X inches
125 square inches = 1.25X^2 square inches
125 / 1.25 = x^2 inches squared
100 square inches = X^2 inches
square root of 100 square inches = X = {{{highlight(H = simplify(10) inches)}}}
1.25 * 10 = 1.25X = {{{highlight(W = simplify(25/2) inches)}}}