Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 132 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be by by (see the figure below). Then, , and the volume . So that . Maximize .) x = __________ inches
y = __________ inches
z = __________ inches
V = __________ cubic inches

Question

Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 132 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be  by  by  (see the figure below). Then,  , and the volume  . So that  . Maximize  .)  x = __________ inches
y = __________ inches
z = __________ inches
V = __________ cubic inches

Quizplus · Accepted Answer

The Answer of Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 132 in. Find the dimensions of the rectangular package that would have the greatest possible volume under these regulations. (Hint: Let the dimensions of the box be  by  by  (see the figure below). Then,  , and the volume  . So that  . Maximize  .)  x = __________ inches
y = __________ inches
z = __________ inches
V = __________ cubic inches

Postal Regulations Specify That the Combined Length and Girth of a Parcel