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A box without a top is to be made from a rectangular piece of cardboard, with the dimensions shown below, by cutting out square corners with side length x and folding up the sides. -9 cm- X x X X 12 cm Write an equation for the volume of the box in terms of x. Estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.

A box without a top is to be made from a rectangular piece of cardboard, with the dimensions shown below, by cutting out square corners with side length x and folding up the sides. -9 cm- X x X X 12 cm Write an equation for the volume of the box in terms of x. Estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A box without a top is to be made from a rectangular piece of cardboard, with the dimensions shown below, by cutting out square corners with side length x and folding up the sides. -9 cm- X x X X 12 cm Write an equation for the volume of the box in terms of x. Estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
Transcribed Image Text:A box without a top is to be made from a rectangular piece of cardboard, with the dimensions shown below, by cutting out square corners with side length x and folding up the sides. -9 cm- X x X X 12 cm Write an equation for the volume of the box in terms of x. Estimate the value of x, to the nearest tenth, that gives the greatest volume. Explain your process.
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