18) From a thin piece of cardboard 40 in. by 40 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. A) 26.7 in. x 26.7 in. x 6.7 in.; 4740.7 in³ C) 20 in. × 20 in. x 10 in.; 4000 in3 B) 13.3 in. x 13.3 in. x 13.3 in.; 2370.4 in D) 26.7 in. x 26.7 in. × 13.3 in.; 9481.5 in3

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
Section9.3: Cylinders And Cones
Problem 39E
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18) From a thin piece of cardboard 40 in. by 40 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.
A) 26.7 in. x 26.7 in. x 6.7 in.; 4740.7 in3
B) 13.3 in. x 13.3 in. x 13.3 in.; 2370.4 in3
D) 26.7 in. x 26.7 in. x 13.3 in.; 9481.5 in3
C) 20 in. x 20 in. x 10 in.; 4000 in3
Transcribed Image Text:18) From a thin piece of cardboard 40 in. by 40 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. A) 26.7 in. x 26.7 in. x 6.7 in.; 4740.7 in3 B) 13.3 in. x 13.3 in. x 13.3 in.; 2370.4 in3 D) 26.7 in. x 26.7 in. x 13.3 in.; 9481.5 in3 C) 20 in. x 20 in. x 10 in.; 4000 in3
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