To check: Whether the area of the base of a regular pyramid can be greater than the lateral area or not.
Answer to Problem 18CE
No, the area of the base of a regular pyramid cannot be greater than the lateral area.
Explanation of Solution
The lateral area of the regular pyramid is the product of number of faces and area if each face of pyramid.
The base area of the regular pyramid is the area of the face along the base. In general, the area of along is the base is less than the lateral area of pyramid.
Therefore, the area of the base of a regular pyramid cannot be greater than the lateral area.
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