Problema Solution
A company is designing a box for dry pasta in the shape of a rectangular prism. The length is 2 inches more than twice the width, and the height is 3 inches more than the length. Write an expression in terms of the width for the volume of the box.
Answer provided by our tutors
let
l = the length
w = the width
h = the height
the length is 2 inches more than twice the width
l = 2 + 2w
the height is 3 inches more than the length
h = 3 + l
plug l = 2 + 2w into the last equation
h = 3 + 2 + 2w
h = 5 + 2w
the volume of the box V = l*w*h
V = (2 + 2w)*w*(5 + 2w)
V = 4w^3 + 14w^2 + 10w
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