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how to find the volume of a box with corners cut out. The area of a circle of radius 20 feet is p 20 2 square feet so the area of the rectangle with rounded corners is 18400 p 20 2 18400 12566 196566 square feet. If you view the box as two smaller boxes however you can find the volume of each smaller box and add them together to get the final volume.
Given a rectangular sheet of metal or cardboard cut squares out o. After sides are folded up the bottom of box is a 12-2x by 12-2x square. Now we have narrowed down the range for which the size of the square cut from each corner can be.
Solution to Problem 1.
This is a third degree polynomial with three real roots x 0 x a2 and x b2 and a positive leading coefficient 4. Each of the cut corners measures one and a half inches by one and a half inches and the volume of the box is 189 cubic inches. If you view the box as two smaller boxes however you can find the volume of each smaller box and add them together to get the final volume. Maximizing the volume of the box obtained by folding the flaps after cutting out squares from each corner of a square 1 Applied Optimization.