The volume of a rectangular prism with a square base is fixed at 500 cm3. Determine the surface area,  A(x), of the prism as a function of the side length of the square base, x. Hint: Use the information above to find the relation between h and x, then use this to eliminate h in the surface area equation.

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 74E
Question

The volume of a rectangular prism with a square base is fixed at 500 cm3. Determine the surface area,  A(x), of the prism as a function of the side length of the square base, x.
Hint: Use the information above to find the relation between h and x, then use this to eliminate h in the surface area equation. 

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