Find the lateral area and surface area of prism.
Answer to Problem 10PPS
L =
S =
Explanation of Solution
Given:
The prism is :
Formula Used:
The Lateral area L of a right prism is
L = Ph , where h is the height of the prism and P is the perimeter of a base.
The Surface area S of a right prism is
S = L + 2B , where L is its Lateral area and B is the area of a base.
Calculation:
The base of the prism is hexagon , whose 4 sides measure 2m and 2 sides measure 3m.
Perimeter of the base of the hexagon = 4(2) + 2(3) = 14 m
Lateral area = Ph
Substitute P = 14 , h = 9 ;
So , Lateral area = L =
The base is made up of a rectangle and two congruent
The area of the rectangle =
The height of the triangle of =
Area of the two triangles =
Area of the base of the prism = B =
Surface area of prism = L + 2B = 126+2(12.9) =
Hence ,
L =
S =
Chapter 12 Solutions
Geometry, Student Edition
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