(1) A box with a lid is to be made from a rectangular piece of cardboard measuri

Question

(1) A box with a lid is to be made from a rectangular piece of cardboard measuring 60cm by 180cm. Two equal squares of side X are to be removed from one end , and two equal rectangles are to be folded to form a box with a lid. Find X such that the volume of the box is a maximum.(Type an integer or decimal rounded to the nearest tenth as needed)

(2) An open box is to be made from a square piece of cardboard whose sides are 19 inches long by cutting squares of equal size from the corners and bending up the sides. Determine the size of the squares that is to be cut ouy so that the volume may be maximize.

Explanation / Answer

2)Let x be the side of the square to remove. Then the volume of the resulting box is:

V(x) = (19 - 2x)

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