A piece of cardboard 4 ft by 4 ft will be made into an open topped box by cutting squares out of each corner and folding the sides up to form the box. What size square should be cut from each corner to make the box with the largest volume?

A piece of cardboard 4 ft by 4 ft will be made into an open topped box by cutting squares out of each corner and folding the sides up to form the box. What size square should be cut from each corner to make the box with the largest volume?

Elementary Geometry For College Students, 7e

7th Edition

ISBN:9781337614085

Author:Alexander, Daniel C.; Koeberlein, Geralyn M.

Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.

Chapter9: Surfaces And Solids

Section9.1: Prisms, Area And Volume

Problem 22E: A cereal box measures 2 in. by 8 in. by 10 in. What is the volume of the box? How many square inches...

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Question

What square size should be cut from each corner to make the box with the largest volume?

A piece of cardboard 4 ft by 4 ft will be made into an open topped box
by cutting squares out of each corner and folding the sides up to form the box.
What size square should be cut from each corner to make the box with the
largest volume?

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