Find the surface area.
Answer to Problem 33PPS
Explanation of Solution
Given:
The height of the right hexagonal prism is 9 cm and each base edge is 4 cm.
Formula Used:
The Lateral area L of a prism is
L = Ph , where P is the perimeter of the base and h is the height of the prism .
The Surface area S of a prism is
S = L + 2B , where L is its Lateral area and B is the area of a base.
Calculation:
Draw the right
Now, first find the value of x =
Also,
Perimeter of the base = P = (length of each side )(number of sides )= (4)(6) = 24 cm.
The area of one section of the hexagon , which is a triangle with base 4 cm and height
So, the area of the base = B =
So, the surface area of the right hexagon prism of height 9 cm is :
S = Ph + 2B =
Chapter 12 Solutions
Geometry, Student Edition
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