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.
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?
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