Explanation Formula used: The lateral surface area of a pyramid is given by L = 1 2 ( P 1 + P 2 ) s , where P 1 and P 2 are the upper and lower perimeters for a pyramid frustum. The total surface area is calculated using the formula S = L + A 1 + A 2 where L is the lateral surface area and A 1 and A 2 are the upper and lower base areas for any frustum. The volume of a pyramid is given by the formula V = 1 3 h ( A 1 + A 2 + A 1 A 2 ) , where A 1 and A 2 are the upper and lower base areas for any frustum. Calculation: From the given figure, it is to be noted that the s = 17 in . and h = 15 in . . Also, observe that the base and top of the given figure is a square. Obtain the perimeter of the upper square of side a = 18 in . as shown below: Perimeter, P 1 = 4 a = 4 ( 18 in . ) = 72 in . That is, the perimeter of the upper square is 72 in.. Similarly calculate the perimeter of the lower square of side a = 26 in . as follows: Perimeter, P 2 = 4 a = 4 ( 26 in . ) = 104 in . Therefore, the perimeter of the bottom square is 104 in.. Substitute the values s = 17 in . , P = 104 in . in the formula L = 1 2 ( P 1 + P 2 ) s and obtain the lateral surface area of the pyramid as shown below: L = 1 2 ( P 1 + P 2 ) s = 1 2 ⋅ ( 72 in

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

10th Edition

ISBN: 9780133347777

Author: Robert A. Carman Emeritus, Hal M. Saunders

Publisher: PEARSON

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Question

Chapter 9.2, Problem 5BE

To determine

The total outside surface area and volume of the given pyramid and to round the result to three significant digits.

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Chapter 9.2, Problem 4BE

Chapter 9.2, Problem 6BE

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Chapter 9 Solutions

Mathematics for the Trades: A Guided Approach (10th Edition) - Standalone book

Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Prob. 5AE Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the volume of each of the following right...Ch. 9.1 - Find the lateral surface area and the volume of...Ch. 9.1 - Find the lateral surface area and the volume of...

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