Asked by ce

An open topped box is constructed from a 20 inch by 15 inch piece of cardboard by cutting equally sized squares from each corner and folding up the resulting flaps.

What is the maximum volume of the box? Be sure your answer is to this prompt!

Round your answer to the nearest whole number.

Answers

Answered by R_scott
volume = s * (20 - 2s) * (15 - 2s) = 300 s - 70 s^2 + 4 s^3

the 1st derivative will show the relative max/min

dv/ds = 300 - 140 s + 12 s^2
... set equal to zero and check for max/min , by plugging s into the volume equation

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