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

Question

3.) A box with a lid is to be made from a rectangular piece of cardboard measuring 42 cm by 126 cm. Two equal squares of side x are to be removed from one end, and two equal rectangles are to be removed from the other end so that the tabs can be folded to form a box with a lid. Find x such that the volume of the box is a maximum Solve for x = ? cm (Type an integer or decimal rounded to the nearest tenth as needed) 4.)An open box is to be made from a square piece of cardboard whose sides are 13 inches long, by cutting squares of equal size from the corners and bending up the sides. Determine the size of the square that is to be cut out so that the volume may be a maximum. Solve for a: A square with a side of length

Explanation / Answer

4.) volume = x(13-2x) = V differentiate it = V' = 13 - 4x = 0 so x= 3.25

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