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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.

Mathematics For Machine Technology
Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter63: Volumes Of Pyramids And Cones
Section: Chapter Questions
Problem 28A: Find the volume of the frustum of a right circular cone with a 155.68-centimeter radius base and a...
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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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