Solve the problem. From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. O 13.3 in. x 133 in. x 6.7 in, 1185.2 in 0 67 in. x 6.7 in. x 6.7 in., 296.3 in O 10 in. x 10 in. x 5 in: 500 in O 133 in x 13.3 in, x 3.3 in: 592.6 in

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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Solve the problem.
From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of
maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary.
O 13.3 in. x 13.3 in. x 6.7 in., 1185.2 in
O 6.7 in, x 6.7 in. x 6.7 in.; 296.3 in
O 10 in. x 10 in. x 5 in; 500 in3
O 13.3 in, x 13.3 in. x 3.3 in; 592.6 in
Transcribed Image Text:Solve the problem. From a thin piece of cardboard 20 in. by 20 in., square corners are cut out so that the sides can be folded up to make a box. What dimensions will yield a box of maximum volume? What is the maximum volume? Round to the nearest tenth, if necessary. O 13.3 in. x 13.3 in. x 6.7 in., 1185.2 in O 6.7 in, x 6.7 in. x 6.7 in.; 296.3 in O 10 in. x 10 in. x 5 in; 500 in3 O 13.3 in, x 13.3 in. x 3.3 in; 592.6 in
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