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.

Question

Gregory Marsh

Mathematics

9 September, 02:04

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.

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Answers (1)

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Brownie · 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