From a thin piece of cardboard 10 in. by 10 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. 6.7 in. x 6.7 in. x 3.3 in.; 148.1 in³
B. 3.3 in. x 3.3 in. x 3.3 in.; 37 in³
C. 5 in. x 5 in. x 2.5 in.; 62.5 in³
D. 6.7 in. x 6.7 in. x 1.7 in.; 74.1 in³
Let the side of cutted square corner. Then a volume of a box will e
Find the first derivative with respect to
Find the critical number(s)
Find the critical number(s)
The function fas the absolute maximum on with value of at
D. 6.7 in. x 6.7 in. x 1.7 in.; 74.1 in³
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