Question

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. Let x equal the height if the box.

Answer 1

v=lwh

w is 5 more than h
w=5+h
legnth is 2 inches more than width
l=2+w

it seems that they want it in terms of x or height

so
v=lwh
v=(2+w)(5+h)(h)
v=(2+5+h)(5+h)(h)
v=(h+7)(h+5)(h)
v=(x+7)(x+5)(x)
v=x^3+12x^2+35x