To find the lateral and surface area of the given pyramid.
Answer to Problem 18SGR
Lateral surface
Surface area
Explanation of Solution
Given:
A square pyramid
Slant height of the pyramid,
Side of the square base,
Formula used:
Lateral surface area of a pyramid
where
Total surface area of a pyramid
where
Perimeter of a square
where a is the side of the square.
Area of a square
where a is the side of the square.
Calculation:
To find the lateral surface area of the pyramid, use the following formula.
Lateral surface area
Now putting the values,
So, the lateral surface area of the pyramid is 72 square meters.
To find the surface area of the pyramid, use the following formula.
Lateral surface area
Now putting the values,
So, the surface area of the pyramid is 81 square meters.
Conclusion:
Hence, the lateral surface area is 72 square meters and surface area is 81 square meters.
Chapter 12 Solutions
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- Elementary Geometry For College Students, 7eGeometryISBN:9781337614085Author:Alexander, Daniel C.; Koeberlein, Geralyn M.Publisher:Cengage,Elementary Geometry for College StudentsGeometryISBN:9781285195698Author:Daniel C. Alexander, Geralyn M. KoeberleinPublisher:Cengage Learning