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A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length \( =12 \mathrm{ft} \) and width \( =10 \mathrm{ft} \) by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length \( \mathrm{X} \) of each side of the square that should be cut which would maximize the volume of the box. Tries \( 0 / 8 \)

Solution: Given box is open from top and its Length is 12 ft and width is 10 ft