How to Find Surface Area of a Triangular Prism?
To find the surface area of a right triangular prism, follow these steps:
Step 1: Calculate the area of the two triangular bases by multiplying their base by their height. This gives you the area of one triangle. Since there are two congruent triangles, multiply this area by 2.
Step 2: Determine the perimeter of one of the triangular bases. Add up the lengths of all three sides.
Step 3: Multiply the perimeter of the base by the height of the prism. This gives you the lateral surface area.
Step 4: Add the areas of the two triangular bases and the lateral surface area to find the total surface area of the right triangular prism.
Let’s take an example to understand how we can calculate the surface area of a triangular prism.
Example: Calculate the surface area of a triangular prism of base 5 m, height 10 m and length 15 m.
Step 1: Note the dimensions of the triangular prism. In this example, the length of the base is 5 m, height is 10 m and length is 15 m.
Step 2: We know that the surface area of a triangular prism is equal to (bh + 3bl). Substitute the given values of base, height and length in the formula.
Step 3: So, the surface area of triangular prism is calculated as, A = 5 (10) + 3 (5) (15) = 275 sq. m
Also, Check
How to Find Surface Area of Triangular Prism?
Surface area of a triangular prism is the sum of the areas of all its faces. A triangular prism is a shape with two identical triangular faces and three rectangular faces connecting them. It has 6 corners, 9 edges, and 5 faces in total.
In this article, we’ll explore about how to find the total surface area of a triangular prism, including the formula and some examples to understand it better.
Table of Content
- What is Total Surface Area of Triangular Prism?
- Surface Area of Triangular Prism Formula
- How to Find Surface Area of a Triangular Prism?
- Sample Problems on the Surface Area of a Triangular Prism
- Frequently Asked Questions