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

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What is Total Surface Area of Triangular Prism?

Total surface area of a triangular prism refers to the combined area of all its faces. A triangular prism has two triangular faces and three rectangular faces. The rectangular faces are known as the lateral faces, while the triangular ones are called bases. If you position the bases horizontally, they become the top and bottom faces of the prism. Surface area is measured in square units such as square meters (m²), square centimetres (cm²), square inches (in²), or square feet (ft²)....

Surface Area of Triangular Prism Formula

Surface area of a triangular prism is defined as the sum of the area of its five faces. To calculate the surface area, we need the values of the base, length, and height of the triangular prism. Its formula equals the sum of two times the base area and three times the product of the base and length of the prism. Its unit of measurement is meter square (sq. m)....

How to Find Surface Area of a Triangular Prism?

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