U.S. postal regulations state that the sum of the length (the longest dimension of a package) and the girth (distan...
Postal regulations specify that a parcel sent by priority mail may have a combined length and girth of no more than 96 in. Find the dimensions of a rectangular package that has a square cross section and the largest volume that may be sent via priority mail. Hint: The length plus the girth is 4x + h (see the figure below).
A postal service will accept packages only if the length plus girth
is no more than 220 inches.
(See the figure.) Assuming that the front face of the package (as
shown in the figure) is square, what is the largest volume package
that the postal service will accept?
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