To find: the lateral and surface area of each prism.
Answer to Problem 5PPS
The lateral area of the triangular prism is
The surface 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.
The base of the prism is a triangle whose sides are 1cm, 1.2 cm and 1 cm.
Find the lateral area of the triangular prism.
The perimeter P of the base of the prism is
Substitute P = 3.2 and h = l .2 in the lateral area formula to find the lateral area of the prism.
Therefore, the lateral area of the triangular prism is
Find the surface area of the triangular prism as follows:
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 = 0.48 and L = 3.84 in the surface area formula to find the surface area of the prism.
Therefore, the surface area of the triangular prism is
Conclusion:
Therefore, the surface area of the triangular prism is
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