Problema Solution
the polynomial 4x^3 - 44x^2 + 120x gives the volume (in cubic inches) of the resulting box when a square with sides x inches long is cut from each corner of a 10 in. X 12in. piece of cardboard. Find the volume of a box if 3-inch squares are cut out.
Answer provided by our tutors
3-inch squares are cut out - this means x = 3 in and we plug this value into the given equation for the volume V(x) = 4x^3 - 44x^2 + 120x thus we have
V(3) = 4*3^3 - 44*3^2 + 120*3
V(3) = 72 in^3
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