Question: An open box is formed by cutting out the comer of a 3 ft by 4 ft piece of brass and folding up the sides.

An open box is formed by cutting out the comer of a

3

ft by

4

ft piece of brass and folding up the sides. Find the volume of this box as a function of

h,

where

h

is the length of the sides of the square that is cut out of the comer to form the box. Graph this function. Determine the dimensions that would maximize the volume of the box.

An open box is formed by cutting out the comer of

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