how to find the total surface area of a triangular prism.
Answers
Answer:
The surface area of any prism is the total area of all its sides and faces. A triangular prism has three rectangular sides and two triangular faces. To find the area of the rectangular sides, use the formula A = lw, where A = area, l = length, and h = height. To find the area of the triangular faces, use the formula A = 1/2bh, where A = area, b = base, and h = height. Once you have the areas of all sides and faces, you simply add them together to get the surface area.
Step-by-step explanation:
Formula
Area of a triangle
A = 1/2bh
Area of a rectangle
A = lw
Surface area of triangular prism
SA = bh + (s1 + s2 + s3)H
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Concept
A triangular prism is a prism made of two triangular bases and three rectangular sides. It's called a pentahedron.
Given
Triangular prism
Find
We are asked to determine how to find the total surface area of a triangular prism.
Solution
The formula for calculating the surface area of a triangular prism is as follows: Surface area = (base perimeter + length of prism) + (2 base area) = (S1 + S2+ S3) L + bh; where b is the base triangle's bottom edge, h is follows: Surface area = (base perimeter + length of prism) + (2 base area) = (S1 + S2+ S3) L + bh; where b is the base triangle's bottom edge, h is the base triangle's height, L is the prism's length, and S1, S2, and S3 are the prism's top edges.