89. Volume of a Box An open box is constructed from a 6 in. by 10 in. sheet of cardboard by cutting a square piece from each corner and then folding up the sides, as shown in the figure. The volume of the box is V = x(6 – 2x)(10 – 2x) (a) Explain how the expression for V is obtained. (b) Expand the expression for V. What is the degree of the resulting polynomial? (c) Find the volume when x 1 and when x 2. 10 in. 10 2x- 6 – 2r 6 in. |
89. Volume of a Box An open box is constructed from a 6 in. by 10 in. sheet of cardboard by cutting a square piece from each corner and then folding up the sides, as shown in the figure. The volume of the box is V = x(6 – 2x)(10 – 2x) (a) Explain how the expression for V is obtained. (b) Expand the expression for V. What is the degree of the resulting polynomial? (c) Find the volume when x 1 and when x 2. 10 in. 10 2x- 6 – 2r 6 in. |
Algebra and Trigonometry (MindTap Course List)
4th Edition
ISBN:9781305071742
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
ChapterP: Prerequisites
SectionP.5: Algebraic Expressions
Problem 89E
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