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What is the maximum volume of a rectangular prism (or box) if the prism has a square base and a total surface area of 100 cm^2?

A) First, let x = the side length of the base and h = the height of the prism. Write and solve the equation for h.

B) Write a function for the volume of the box, V, in terms of x.

What is the maximum volume of a rectangular prism (or box) if the prism has a square-example-1
User Kufi
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1 Answer

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Answer: A. 100/x^2 = h, B. v(x) = x^2*h

Explanation:

A. Volume = b * h

100 cm^2 = x^2 * h

100/x^2 = h

B. v(x) = x^2*h

User Arati
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