Find the lateral area and surface area of prism.
Answer to Problem 16PPS
L =
S =
Explanation of Solution
Given:
The triangular prism : h = 6 inches, right
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 a right
By Pythagorean Theorem , the length c of hypotenuse is
Perimeter of the base of the prism = P = 9 + 12 + 15 = 36 inches
Lateral area = Ph
Substitute P = 36 , h = 6 ;
So , Lateral area = L =
The base of the prism is a triangle , whose base is 9 inches and height is 12 inches
Area of the base of prism = B =
Surface area of prism = L + 2B = 216+2(54) = 216 + 108 =
Hence ,
L =
S =
Chapter 12 Solutions
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