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12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 1,000 in.?. 40 in. 22 in. L. nos-

12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 1,000 in.?. 40 in. 22 in. L. nos-

Algebra: Structure And Method, Book 1
Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter12: Quadratic Functions
Section12.8: Joint And Combined Variation
Problem 8P
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12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 40 in. 22 in. 1,000 in.?. (d) Determine the value of x that corresponds to the box with the largest pos- sible volume, and determine that volume. W.
Transcribed Image Text:12. A rectangular piece of cardboard, 40 inches long by 22 inches wide, is used for making a rectangular box (open top) by cutting out squares of x by x from the corners and folding up the sides. (a) Create a polynomial expression for the vol- ume V in terms of x. (b) Make a plot of V versus x. (c) Determine x if the volume of the box is 40 in. 22 in. 1,000 in.?. (d) Determine the value of x that corresponds to the box with the largest pos- sible volume, and determine that volume. W.
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