calculus

An open box is to be made out of a 8-inch by 14-inch piece of cardboard by cutting out squares of equal size from the four corners and bending up the sides. Find the dimensions of the resulting box that has the largest volume.

Dimensions of the bottom of the box:

Height of the box:

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  1. see related problems at the links below. Same technique; just change the numbers.

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  2. 5.6

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  3. an open box of rectangular base is to be made from 24 cm by 45cm cardboard by cutting out squares sheets of equal size from each corner and bending the sides.find the dimensions of the corner squares to obtain a box having largest volume.

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  4. an open box with dimensions 2 by 3 by 4 inchesneeds to be increased in size to hold 5 times as much material as the current box. ehat would be the new dimension of the new box?

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