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how to find the largest possible volume of a box. Find the dimensions of a rectangular box with the largest volume with surface area 64cm2. Use tape or a magnet to attach the box next to its volume.
Let us solve for y. 3 cm A rectangular storage container with an open top is to have a volume of 10 m3. 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.
Find the dimensions of a rectangular box with the largest volume with surface area 64cm2.
There are bounds on x but the largest volume cant happen at these end points dVdx 14 2300-3x2 Setting this equal to zero. The surface area of this box is 19200 b2 nb. The height is just the size of the corner cut out x in this problem. 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.