There are many square prisms with volume 125 in³. Let w represent the side length of the square base and h represent the height in inches. Then the formula for the volume V, in cubic inches, of these prisms is V = w²h and the equation for the surface area S, in square inches, is S = 2w² + 4wh. h W W Write an equation for S as a function of w when the volume of the prism is 125 in³. Enter your response and your explanation in the space provided. You may also use the drawing tool to help explain or support your answer.

Elementary Algebra
17th Edition
ISBN:9780998625713
Author:Lynn Marecek, MaryAnne Anthony-Smith
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Chapter8: Rational Expressions And Equations
Section8.9: Use Direct And Inverse Variation
Problem 8.178TI: The area of a circle varies directly as the square of the radius. A circular pizza with a radius of...
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There are many square prisms with volume 125 in³. Let w represent the side length of the square base and h represent the height in inches. Then the formula for the volume V, in cubic inches, of these prisms is V = w²h and the equation for the surface
area S, in square inches, is S = 2w² + 4wh.
h
W
W
Write an equation for S as a function of w when the volume of the prism is 125 in³.
Enter your response and your explanation in the space provided. You may also use the drawing tool to help explain or support your answer.
Transcribed Image Text:There are many square prisms with volume 125 in³. Let w represent the side length of the square base and h represent the height in inches. Then the formula for the volume V, in cubic inches, of these prisms is V = w²h and the equation for the surface area S, in square inches, is S = 2w² + 4wh. h W W Write an equation for S as a function of w when the volume of the prism is 125 in³. Enter your response and your explanation in the space provided. You may also use the drawing tool to help explain or support your answer.
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