Explanation Formula used: The lateral surface area of a pyramid is given by L = 1 2 ( P ) s , where p is the perimeter of the pyramid. The volume of a pyramid is given by the formula V = 1 3 h A , where A is the area of the pyramid. Calculation: From the given figure, it is to be noted that the s = 28.8 in . and h = 28.5 in . . Also, observe that the base of the given figure is a regular hexagon. Obtain the perimeter of the regular hexagon of side a = 4.6 in . as shown below: Perimeter, p = 6 a = 6 ( 4.6 in . ) = 27.6 in . That is, the perimeter of the regular hexagon is 27.6 in.. Substitute the values s = 28.8 in . , P = 27.6 in . in the formula L = 1 2 ( P ) s and obtain the lateral surface area of the pyramid as shown below: L = 1 2 ( P ) s = 1 2 ⋅ ( 27.6 in ) ⋅ ( 28

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ISBN: 9780100803053

Author: SAUNDERS

Publisher: YUZU

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Chapter 9.2, Problem 8AE

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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 7AE

Chapter 9.2, Problem 1BE

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EBK MATHEMATICS FOR THE TRADES

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