A box in the shape of a rectangular prism has a width that is 5 inches greater than the height and a length that is 2 inches greater than the width. Write a polynomial expression in standard form for the volume of the box. Explain the meaning of any variables used.
if the height is h, then we have
width = height+5 = h+5
length = width+2 = h+5+2 = h+7
so the volume is, as usual,
length*width*height = (h+7)(h+5)h