BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
1st Edition
ISBN: 9781608408382
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Houghton Mifflin Harcourt
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Question
Chapter 9.3, Problem 32E
To determine
To Find: The length and width of the pond if the pond has a depth of 24 inches and a volume of 72000 cubic inches and the length of the pond is two times its width.
Expert Solution & Answer
Answer to Problem 32E
The required length is 77.46 inches and the width is 38.73 inches.
Explanation of Solution
Given information:
The pond has a depth of 24 inches and a volume of 72000 cubic inches.
The length of the pond is two times its width.
Calculation:
The length l is two times the width w, so
Write an equation using the formula for the volume of a rectangular prism.
(Write the formula)
(Substitute 72000 for V, 2w for l, and 24 for h)
(Multiply)
(Divide each side by 48)
(Take the square root of each side)
So, the solutions are
Therefore the width is
Chapter 9 Solutions
BIG IDEAS MATH Algebra 1: Common Core Student Edition 2015
Ch. 9.1 - Prob. 1ECh. 9.1 - Prob. 2ECh. 9.1 - Prob. 3ECh. 9.1 - Prob. 4ECh. 9.1 - Prob. 5ECh. 9.1 - Prob. 6ECh. 9.1 - Prob. 7ECh. 9.1 - Prob. 8ECh. 9.1 - Prob. 9ECh. 9.1 - Prob. 10E
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