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A box must be with a sum of length, width, and height not exceeding 180 in....

A box must be with a sum of length, width, and height not exceeding 180 in. What can the demesions and volume of a box be with the greates volume with these terms?
V=
The interval of interest of the objective function is ____
The length of the box edge is ____ in.
the box height is ____ in.
The greatest vilume of the box is _____ in^3.

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