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Find the lateral surface area and surface area of given oblique prism.
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Answer to Problem 31PPS
L =
S =
Explanation of Solution
Given :
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:
The base of the oblique prism is a
Use Pythagoras Theorem twice ,
Third side =
The perimeter of the base = P = 1+4+4.487 = 9.487 cm
Substitute P = 9.487 , h =2.17
So, Lateral surface area = L = Ph =
Area of the base = B =
Surface area of the prism = L + 2B =
Hence,
L =
S =
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