Volume of a Box A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inch squares from each corner and fold- ing up the sides, as shown below. Let x represent the width of the original piece of sheet metal. 3 13 3 (a) Represent the length of the original piece of sheet metal in terms of x. (b) What are the restrictions on x? (c) Determine a function V that represents the volume of the box in terms of x. (d) For what values of x (that is, original widths) will the volume of the box be between 600 and 800 cubic inches? Determine the answer graphically, and give values to the nearest tenth of an inch. 3.

Volume of a Box A piece of sheet metal is 2.5 times as long as it is wide. It is to be made into a box with an open top by cutting 3-inch squares from each corner and fold- ing up the sides, as shown below. Let x represent the width of the original piece of sheet metal. 3 13 3 (a) Represent the length of the original piece of sheet metal in terms of x. (b) What are the restrictions on x? (c) Determine a function V that represents the volume of the box in terms of x. (d) For what values of x (that is, original widths) will the volume of the box be between 600 and 800 cubic inches? Determine the answer graphically, and give values to the nearest tenth of an inch. 3.

Name: questions a) b) and c) please Volume of a Box A piece of sheet metal i
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Description: questions a) b) and c) please Volume of a Box A piece of sheet metal is 2.5 times aslong as it is wide. It is to be made into a box with an opentop by cutting 3-inch squares from each corner and fold-ing up the sides, as shown below. Let x represent

Algebra and Trigonometry (MindTap Course List)

4th Edition

ISBN:9781305071742

Author:James Stewart, Lothar Redlin, Saleem Watson

Publisher:James Stewart, Lothar Redlin, Saleem Watson

Chapter3: Polynomial And Rational Functions

Section3.2: Polynomial Functions And Their Graphs

Problem 90E: Volume of a box A cardboard box has a square base, with each edge of the base having length x...

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