How To Find The Largest Possible Volume Of A Box Complete Guide

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how to find the largest possible volume of a box. To find the maximum value we look for the critical points. Take an x by x notch out of the square of material and fold up the box.

Calculus Applications Of Differentiation Maximize A Box Project Unit 5 Calculus Ap Calculus Application Of Differentiation
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Let b represent the length of the base and h represent the height. Because the length and width equal 30 2 h a height of 5 inches gives a length and width of 30 2 5 or 20 inches. This is achieved by the box of height 10 cm and base 20 cm by 20 cm.

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Substitute h in terms of s into the formula for volume. 1 2 0 0 b 2 4 h b. V s s 10800 - s²4 Expand. Compute the volume of the box.