A box with an open top is to be constructed from a piece of cardboard that is a square with side length 3 ft. To construct the box, cut out a square from each of the four corners and bend up the sides. Find the largest volume such a box can have. The units of volume are cubic feet. Enter the largest volume such a box can have (number only, without units).

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 40E: As in Exercise 39, find the volume of the box if four congruent squares with sides of length 6 in....
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A box with an open top is to be constructed from a piece of cardboard that is a square with side
length 3 ft.
To construct the box, cut out a square from each of the four corners and bend up the sides.
Find the largest volume such a box can have.
The units of volume are cubic feet.
Enter the largest volume such a box can have (number only, without units).
Transcribed Image Text:A box with an open top is to be constructed from a piece of cardboard that is a square with side length 3 ft. To construct the box, cut out a square from each of the four corners and bend up the sides. Find the largest volume such a box can have. The units of volume are cubic feet. Enter the largest volume such a box can have (number only, without units).
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