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.

Mathematics For Machine Technology
8th Edition
ISBN:9781337798310
Author:Peterson, John.
Publisher:Peterson, John.
Chapter29: Tolerance, Clearance, And Interference
Section: Chapter Questions
Problem 18A: A piece is to be cut to the dimensions and tolerances shown in Figure 29-14. Determine the maximum...
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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.

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.
O A. 13.3 in x 13.3 in x 13.3 in; 2,370.4 in
В.
26.7 in x 26.7 in x 13.3 in; 9,481.5 in
O C. 20.0 in x20.0 in x 10.0 in; 4,000.0 in
D. 26.7 in x 26.7 in x6.7 in; 4,740.7 in³
Transcribed Image Text: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. O A. 13.3 in x 13.3 in x 13.3 in; 2,370.4 in В. 26.7 in x 26.7 in x 13.3 in; 9,481.5 in O C. 20.0 in x20.0 in x 10.0 in; 4,000.0 in D. 26.7 in x 26.7 in x6.7 in; 4,740.7 in³
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