Question

A dumpster in the shape of a rectangular prism has a volume of 240 cubic feet. The length of the dumpster is 4 feet less than twice the width w, and the height is 1 foot less than the width.

Find the equation, in terms of w, that could be used to find the dimensions of the dumpster in feet. Your answer should be in the form of a polynomial equals a constant.

Answer 1

Explanation:

v=240

l= 2(w)-4

h=(w-1)

v= l*w*h

240=(2w-4)(w-1)w

we then foil

(2w^2 - 6w + 4) w

lastly multiply the w in

ANSWER: 2w^3 - 6w^2 + 4w = 240