Find the Lateral area and surface area of the regular pyramid.
Answer to Problem 12PPS
L =
S =
Explanation of Solution
Given:
Hexagonal pyramid with a base edge of 6 mm and a slant height of 9 mm.
Formula Used: The Lateral area L of a regular Pyramid is
The Surface area S of a regular Pyramid is
Calculation:
The base of the pyramid is regular hexagon whose side is 6 mm and slant height is 9 mm.
Now, the base is a regular hexagon .Divide the base in 6 equal
Draw the right
Now, first find the value of x =
Also,
Perimeter of the base = P = (length of each side )(number of sides ) =
So, the Lateral area =
The area of one section of the hexagon , which is a triangle with base 6 mm and height
So, the area of the base = B =
So, the surface area of the pyramid :
Hence ,
L =
S =
Chapter 12 Solutions
Geometry, Student Edition
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