Posted by **Hannah** on Sunday, September 26, 2010 at 9:50pm.

A rectangular package to be sent by a delivery service can have a maximum combined length and girth (perimeter of a cross section) of 120 inches.

a. Show that the volume of the package is V(x)= 4xsquared(30-x)

b. Use your graphing calculator to find the dimensions of the package that maximize the volume. What is the maximum volume?

- Pre-Calc -
**MathMate**, Sunday, September 26, 2010 at 10:24pm
The formula V=4xsquared(30-x) is correct if the cross section is a square with side equal to x.

I do not have a graphing calculator.

You could find out the maximum volume by calculating with the above formula using various values of x. Try for x between 15 and 25.

- Pre-Calc/Trig -
**Sabrina**, Monday, November 1, 2010 at 11:09pm
-Equation 1: 4x+y=120 --> y = 120 - 4x

-Equation 2: x^2(y)=Volume

-Combine equations: x^2(120-4x) = volume

-Distribute: -4x^3 + 120x^2

Those are teh initial steps

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