Question: A rectangular prism has a volume of 240. The length is L .

1. Use your knowledge of volume and surface area to derive a function A( r ) that represents the surface area of the rectangular prism in terms of length, width, and height.
2. Use your calculator to produce a graph of A( r ) that shows the intercepts, extrema, and asymptotic behavior of the function over the set of real numbers, sketch the graph you obtained, and identify the window you used.
3. State any restriction on the domain of the function so that it represents the physical model of the rectangle.
4. Use your calculator to find the dimensions of the rectangle to the nearest tenth of a centimeter that will minimize the quantity of material needed to cover the rectangular prism.

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Solution: The downloadable solution consists of 3 pages
Deliverable: Word Document