A manufacturer is building a box with no top. The box is constructed from a piece of cardboard that is 10 inches long and 15 inches wide by cutting out the corners and folding up the sides. The manufacturer wants to build a box with maximum volume. What dimensions maximize the volume of the box, and what is that volume? A.  The maximum volume occurs when the box has dimensions of length 11 inches, width 6 inches, and height 2 inches. The maximum volume of the box is 132 cubic inches.   B.  The maximum volume occurs when the box has dimensions of length 11 inches, width 6 inches, and height 2 inches. The maximum volume of the box is 66 cubic inches.   C.  The maximum volume occurs when the box has dimensions of length 9 inches, width 4 inches, and height 3 inches. The maximum volume of the box is 108 cubic inches.   D.  The maximum volume occurs when the box has dimensions of length 9 inches, width 4 inches, and height 3 inches. The maximum volume of the box is 54 cubic inches.

Trigonometry (11th Edition)
11th Edition
ISBN:9780134217437
Author:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Publisher:Margaret L. Lial, John Hornsby, David I. Schneider, Callie Daniels
Chapter1: Trigonometric Functions
Section: Chapter Questions
Problem 1RE: 1. Give the measures of the complement and the supplement of an angle measuring 35°.
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A manufacturer is building a box with no top. The box is constructed from a piece of cardboard that is 10 inches long and 15 inches wide by cutting out the corners and folding up the sides. The manufacturer wants to build a box with maximum volume. What dimensions maximize the volume of the box, and what is that volume?

A.  The maximum volume occurs when the box has dimensions of length 11 inches, width 6 inches, and height 2 inches. The maximum volume of the box is 132 cubic inches.
 
B.  The maximum volume occurs when the box has dimensions of length 11 inches, width 6 inches, and height 2 inches. The maximum volume of the box is 66 cubic inches.
 
C.  The maximum volume occurs when the box has dimensions of length 9 inches, width 4 inches, and height 3 inches. The maximum volume of the box is 108 cubic inches.
 
D.  The maximum volume occurs when the box has dimensions of length 9 inches, width 4 inches, and height 3 inches. The maximum volume of the box is 54 cubic inches.
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