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.
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
Publisher:Lynn Marecek, MaryAnne Anthony-Smith
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.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fed583360-5e5b-4e0f-b35f-9edb5ce39970%2F4d8a6248-5741-459b-9cb2-eeb4011a59c2%2Fp03ltof_processed.png&w=3840&q=75)
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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