Asked by Anonymous

A manufacturer of open tin boxes wishes to use a piece of tin with dimensions 8 in. by 15 in. by cutting equal squares from the four corners and turning up the sides.

Find a mathematical model expressing the volume of the box as a function of the length of the side of the square cut out.
What is the domain of the function in part A?

Answers

Answered by Steve
since the square of side x is cut from all corners, the volume v is

v = x(8-2x)(15-2x)

as with all polynomials, the domain is all reals.

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