A pyramid that has a square base with length 12 and height of pyramid is 8 and the lateral edge is 11.7 determine the surface area of the pyramid

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 1CT
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A pyramid that has a square base with length 12 and height of pyramid is 8 and the lateral edge is 11.7 determine the surface area of the pyramid

Expert Solution
Step 1

For a square pyramid, we have base b = 12, height h = 8 and the lateral edge e = 11.7.

Step 2

Find the slant height l using Pythagoras theorem.

b
1 =
2
12
1.7)2
2
11.7)
(6)
10.044
Step 3

Therefore, Lateral Surface Area is given by

PI
where P is the Perimeter of the base and / is the slant height
2
LSA
4(12)(10.044)
= 241.056
Then, LSA
2
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