To find: the lateral and surface area of prism.
Answer to Problem 7PPS
The surface area of the triangular prism is
The lateral area of the triangular prism is
Explanation of Solution
Given:
Formula used:
The lateral area L of a triangular prism is,
The surface area S of a triangular prism is, S = L + 2B.
Calculation:
The lateral area L of a triangular prism is,
Here, P is the perimeter of the base of the
The surface area S of a triangular prism is, S = L + 2B.
Here, L is the lateral area and B is the area of the triangular base.
Find the lateral area of the triangular prism as follows:
The base of the prism is a triangle whose sides are 0.7 m, 2.4 m and 2.5 m.
The perimeter P of the base of the prism is,
Here,
Substitute P = 5.6 and h = 0.7 in
Therefore, the lateral area of the triangular prism is
Find the surface area of the triangular prism as follows:
Find the area B of the base of the prism is,
Here, b is the base and a is the height of the triangle.
Substitute B = 0.84 and L = 3.92 in S = L + 2B
Conclusion:
Therefore, the surface area of the triangular prism is
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