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how to find largest possible volume of a box. We first use the formula of the volume of a rectangular box. Have students record the volumes for each groups box on the board next to the group name.
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If 2000 square centimeters of material is available to make a box with a square base and an open top find the largest possible volume of the box. For example by dragging the uppermost point which changes x we may make the dot on the graph that corresponds the volume of the box for a given x reach the local maximum point. Let x be the length of the side of the cut out in inches.
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.
Compute the volume of the box. Maximizing Volume Our assignment is to find the maximum volume of a box created by cuting squares from each corner of a 25x15 inch rectangle and folding up the sides. For say a 11 and b 85 the applet shows as the solution x 160 while the actual solution is an irrational number x 15854. V L W H The box to be made has the following dimensions.
