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

10th Edition

ISBN: 9780100803053

Author: SAUNDERS

Publisher: YUZU

See similar textbooks

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.

Expert Solution & Answer

Want to see the full answer?

Check out a sample textbook solution

See solution

Chapter 9.2, Problem 4BE

Chapter 9.2, Problem 6BE

Students have asked these similar questions

You may need to use the appropriate appendix table or technology to answer this question. You are given the following information obtained from a random sample of 4 observations. 24 48 31 57 You want to determine whether or not the mean of the population from which this sample was taken is significantly different from 49. (Assume the population is normally distributed.) (a) State the null and the alternative hypotheses. (Enter != for ≠ as needed.) H0: Ha: (b) Determine the test statistic. (Round your answer to three decimal places.) (c) Determine the p-value, and at the 5% level of significance, test to determine whether or not the mean of the population is significantly different from 49. Find the p-value. (Round your answer to four decimal places.) p-value = State your conclusion. Reject H0. There is insufficient evidence to conclude that the mean of the population is different from 49.Do not reject H0. There is sufficient evidence to conclude that the…

No chatgpt pls

Chapter 9 Solutions

EBK MATHEMATICS FOR THE TRADES

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...

Knowledge Booster