Packaging. A parcel delivery service will only deliver packages with length plus girth (distance around) not exceeding 108 in. A rectangular shipping box with square ends x inches on a side is to be used.
(A) If the full 108 in. is to be used, express the volume of the box V(x) in terms of x.
(B) What is the domain of the function V (determined by the physical restrictions)?
(C) Complete Table 1.
Table 1 Volume
x
V(x)
5
10
15
20
25
(D) Plot the points in part (C) and sketch a graph of the volume function using these points.
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