A rectangular sheet of metal 24 cm long and 12 cm wide is to be transformed into an open box by cutting a square of side x in each corner. If the resulting volume is 104 cm³, determine the resulting thickness, length and width of the box. Follow this format a) Setting up the polynomial equation/function with diagrams. b) Using a geometry software to solve for the zeroes/roots. Take a screenshot. c) Solving the values of length and the width using the computed thickness (x). Show complete work for upvotes

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 508E: The area of the face of a Ferris wheel varies directly with the square of its radius. If the area of...
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A rectangular sheet of metal 24 cm long and 12 cm wide is to be
transformed into an open box by cutting a square of side x in each
corner. If the resulting volume is 104 cm³, determine the resulting
thickness, length and width of the box.
Follow this format
a) Setting up the polynomial equation/function with diagrams.
b) Using a geometry software to solve for the zeroes/roots. Take a
screenshot.
c) Solving the values of length and the width using the computed
thickness (x).
Show complete work for upvotes
Transcribed Image Text:A rectangular sheet of metal 24 cm long and 12 cm wide is to be transformed into an open box by cutting a square of side x in each corner. If the resulting volume is 104 cm³, determine the resulting thickness, length and width of the box. Follow this format a) Setting up the polynomial equation/function with diagrams. b) Using a geometry software to solve for the zeroes/roots. Take a screenshot. c) Solving the values of length and the width using the computed thickness (x). Show complete work for upvotes
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