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# Surface Area of a Triangular Pyramid Calculator

Surface Area of a Triangular Pyramid Calculator' is an online tool that helps to calculate the surface area of a triangular pyramid. The total surface area of a triangular pyramid is calculated with the formula, Total Surface area of a Triangular Pyramid = Base Area + 1/2 (Perimeter of the base × Slant Height); where 'slant height' is the distance from its triangular face along the center of the face to the apex.

## What is Surface Area of a Triangular Pyramid Calculator?

Online Surface Area of a Triangular Pyramid Calculator helps you to calculate the surface area of a triangular pyramid within a few seconds. Four triangles form a triangular pyramid. Triangular pyramids are regular, irregular, and right-angled. The tetrahedron is a triangular pyramid with equilateral triangles on each face.

### Surface Area of a Triangular Pyramid Calculator

## How to Use Surface Area of a Triangular Pyramid Calculator?

Please follow the below steps to find the surface area of a triangular pyramid:

**Step1:**Enter the apothem length of the base triangle in the given input box.**Step 2:**Enter the base side of the triangle pyramid**Step 3:**Enter the slant height of the triangular prism in the given input box.**Step 4:**Click on the**"Calculate"**button to find the surface area of a triangular pyramid.**Step 5:**Click on the**"Reset"**button to clear the fields and find the surface area of a triangular pyramid for different values.

## How to Find Surface Area of a Triangular Pyramid?

A triangular pyramid is defined as a three-dimensional shape having all faces as triangles. A triangular pyramid is a pyramid with a triangular base and bounded by four triangular faces where 3 faces meet at one vertex. The surface area of a triangular pyramid is calculated by using the formula:

**Surface Area of a Triangular Pyramid = 1/2 (a × b) + 3/2(b × h)**, where 'a' is apothem length of the base triangle, 'b' is the base side of the triangle pyramid, and 'h' is the slant height of the triangular prism.

**Solved Examples on Surface Area of a Triangular Pyramid Calculator**

**Example 1:**

Find the surface area of a triangular pyramid whose apothem length of the base triangle is 5 units, base side of the triangle pyramid is 6 units, and slant height of the triangular prism is 8 units.

**Solution:**

Given: a = 5 units, b = 6 units, and h = 8 units

Surface Area of a Triangular Pyramid = 1/2 (a × b) + 3/2(b × h)

= 1/2(5 × 6) + 3/2(6 × 8)

= 15 + 72

= 87 square units

Therefore, the Surface Area of a Triangular Pyramid is 87 square units

**Example 2:**

Find the surface area of a triangular pyramid whose apothem length of the base triangle is 7 units, base side of the triangle pyramid is 8 units, and slant height of the triangular prism is 10 units.

**Solution:**

Given: a = 7 units, b = 8 units, and h = 10 units

Surface Area of a Triangular Pyramid = 1/2 (a × b) + 3/2(b × h)

= 1/2(7 × 8) + 3/2(8 × 10)

= 28 + 120

= 148 square units

Therefore, the Surface Area of a Triangular Pyramid is 148 square units

Similarly, you can try the Surface Area of a Triangular Pyramid Calculator to find the surface area of a triangular pyramid

1) Apothem length = 6 units, base side = 8 units, and slant height = 14 units.

2) Apothem length = 6 units, base side = 11 units, and slant height = 12 units.

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