Question: A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures3 inches by5 inches. Six squares will

A box with a hinged lid is to be made out of a rectangular piece of cardboard that measures3

inches by5 inches. Six squares will be cut from the cardboard: one square will be cut from each of the corners, and one square will be cut from the middle of each of the5 -inch sides (see Figure 1). The remaining cardboard will be folded to form the box and its lid (see Figure 2). Lettingx represent the side-lengths (in inches) of the squares, to find the value ofx that maximizes thevolumeenclosed by this box. Then give the maximum volume. Round your responses to two decimal places.

I need.

value of x that maximizes volume:

Maximum volume :

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