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 spectrum. 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 s = 4.5 ft and h = 4 ft . Also, observe that the base and the top of the given figure is a rectangle. Obtain the perimeter of the upper rectangle of dimension l = 2 ft and b = 2 ft as shown below: Perimeter, P 1 = 2 ( l + b ) = 2 ( 2 ft + 2 ft ) = 8 ft That is, the perimeter of the upper rectangle is 8 ft. Similarly, calculate the perimeter of the lower rectangle of dimension l = 6 ft and b = 6 ft as follows: Perimeter, P 2 = 2 ( l + b ) = 2 ( 6 ft + 6 ft ) = 24 ft Calculate the area of the upper rectangle using the dimensions l = 2 ft and b = 2 ft . Area = l ⋅ b = ( 2 ft ) ⋅ ( 2 ft ) = 4 sq ft Therefore, the area of the upper rectangle is 4 sq ft

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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Chapter 9.2, Problem 6AE

To determine

The lateral 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 5AE

Chapter 9.2, Problem 7AE

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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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