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

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Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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 Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches by Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches by Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches (see the figure below) . Then, Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches , and the volume Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches . So that Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches . Maximize Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches .) Postal regulations specify that the combined length and girth of a parcel sent by parcel post may not exceed 108 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   .)    A)  x = 20 inches, y = 37 inches, z = 15 inches, V = 11,100 cubic inches B)  x = 18 inches, y = 18 inches, z = 15 inches, V = 4,860 cubic inches C)  x = 20 inches, y = 36 inches, z = 20 inches, V = 11,664 cubic inches D)  x = 20 inches, y = 36 inches, z = 15 inches, V = 11,100 cubic inches E)  x = 18 inches, y = 36 inches, z = 18 inches, V = 11,664 cubic inches

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