SOLUTION: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of t

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Question 194905: A box is to be constructed so that its height is twice its length and its width is 2 inches less than the length. Give a complete description of the function giving the volume of the box in terms of the length.
Answer by ankor@dixie-net.com(22740) About Me  (Show Source):
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A box is to be constructed so that its height is twice its length and its width
is 2 inches less than the length. Give a complete description of the function
giving the volume of the box in terms of the length.
;
Let x = the length
:
It says,"A box is to be constructed so that its height is twice its length"
2x = the height
:
and "its width is 2 inches less than the length."
(x-2) = the width
:
Give a complete description of the function giving the volume of the box in terms of the length.
:
Vol = length * height * width
V = x * 2x * (x-2)
V = 2x^2 * (x-2)
V(x) = 2x^3 - 4x^2, the vol in terms of x (which is the length)