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From a thin piece of cardboard 30 in. by 30 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. 15 in. x 15 in. x 7.5 in.; 1687.5 in3 O 20 in. x 20 in. x 10 in.; 4000 in3 10 in. x 10 in. x 10 in.; 1000 in 20 in. x 20 in. x 5 in.; 2000 in3

From a thin piece of cardboard 30 in. by 30 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. 15 in. x 15 in. x 7.5 in.; 1687.5 in3 O 20 in. x 20 in. x 10 in.; 4000 in3 10 in. x 10 in. x 10 in.; 1000 in 20 in. x 20 in. x 5 in.; 2000 in3

Elementary Geometry For College Students, 7e
Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter8: Areas Of Polygons And Circles
Section8.2: Perimeter And Area Of Polygons
Problem 38E: Examine several rectangles, each with an area of 36 in2, and find the dimensions of the rectangle...
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QUESTION 5 Solve the problem. From a thin piece of cardboard 30 in. by 30 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. 15 in. x 15 in. × 7.5 in.; 1687.5 in3 20 in. x 20 in. × 10 in.; 4000 in 10 in. x 10 in. × 10 in.; 1000 in 20 in. x 20 in. × 5 in.; 2000 in3
Transcribed Image Text:QUESTION 5 Solve the problem. From a thin piece of cardboard 30 in. by 30 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. 15 in. x 15 in. × 7.5 in.; 1687.5 in3 20 in. x 20 in. × 10 in.; 4000 in 10 in. x 10 in. × 10 in.; 1000 in 20 in. x 20 in. × 5 in.; 2000 in3
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