Constructing a Box with No Top An open box is formed by

Chapter 0, Problem P.7.56

(choose chapter or problem)

Constructing a Box with No Top

An open box is formed by cutting squares from the corners of a regular piece of cardboard (see figure) and folding up the flaps.

(a) What size corner squares should be cut to yield a box with a volume of \(125 \text { in. }^{3}\)?

(b) What size corner squares should be cut to yield a box with a volume more than \(125 \text { in. }^{3}\)?

(c) What size corner squares should be cut to yield a box with a volume of at most \(125 \text { in. }^{3}\)?

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