Answer :
Cutting 6-inch squares from each corner of a 20x12-inch tin sheet creates an open box with dimensions 8x0x6 inches.
By cutting 6-inch squares from each corner of a 20x12-inch tin sheet, you can create an open box.
The box's dimensions will be 8x0x6 inches. The width of 0 inches indicates that the tray has no width, resembling a line segment.
The explanation involves finding the maximum volume by taking the derivative of the volume function and setting it to zero.
The critical points are obtained by solving the resulting cubic equation, which yields two possible values: x = 10 and x = 6.
However, since x cannot exceed half the width or length of the sheet, the smaller value, x = 6 inches, is chosen.
Thus, the tray dimensions are determined, and it can be visualized as an open box with a length of 8 inches, no width, and a height of 6 inches.
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