Problema Solution
Write a polynomial function that represents the volume of a rectangular box if the length of one side is x inches, the width is 3 inches less than the length, and the height is 2 inches more than the length. Simplify the expression. What is the volume of the box when the length is 12 inches?
Answer provided by our tutors
let
l = x the length of one side
w = x - 3 the width
h = 2 + x the height
V = l*w*h
V = x(x - 3)(2 + x)
by simplifying we get
V = x^3 - x^2 - 6x
click here to see the step by step simplification
for x = 12 for the volume we have
V = 12^3 - 12^2 - 6*12
V = 1,512 in^3
click here to see the step by step calculation
the volume of the box when the length is 12 inches is 1,512 in^3.