# Triangular Pyramid Calculator

A triangular pyramid is defined as a three-dimensional shape having all faces as triangles. It is a pyramid with a triangular base and bounded by four triangular faces where 3 faces meet at one vertex.The tetrahedron is a triangular pyramid with equilateral triangles on each face. Four triangles form a triangular pyramid.

## What is Triangular Pyramid Calculator?

'Triangular Pyramid Calculator' is an online tool that helps to calculate the surface area and volume of the triangular pyramid. Online **Triangular Pyramid Calculator** helps you to calculate the surface area and volume of the triangular pyramid within a few seconds.

### Triangular Pyramid Calculator

**NOTE:** Enter the values up to three digits only.

## How to Use Triangular Pyramid Calculator?

Please follow the steps below on how to use the calculator:

**Step 1:**Choose a drop-down list to calculate the surface area and volume of the triangular pyramid.**Step 2:**Enter the values in the given input boxes.**Step 3:**Click on the**"Calculate"**button to find the surface area and volume of the triangular pyramid.**Step 4:**Click on the**"Reset"**button to clear the fields and enter the new values.

## How to Find Triangular Pyramid Calculator?

The surface area of the triangular pyramid is defined as the amount of space enclosed within the boundary of a triangular pyramid. It is measured in square units. The formula to calculate the surface area of the triangular pyramid is given by

**Surface area of the 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.

The volume of the triangular pyramid is the capacity of the triangular pyramid or the measure of the amount of space it occupies. It is measured in cubic units. The formula to calculate the volume of the triangular pyramid is given by

**The volume of the triangular pyramid = 1/3 × Base Area of triangle ×Height of pyramid**

Note: Base area of a triangle = 1/2 × base width of triangle × base height of the triangle.

**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

**Example 2:**

Find the volume of a triangular pyramid with a base width of a triangle of 5 units, the base height of a triangle is 6 units, and the height of the pyramid is 9 units?

**Solution:**

The volume of a triangular pyramid = 1/3 × Base Area of triangle × Height of pyramid

= 1/3 × (1/2 × b × h) × a

= 1/3 × (1/2 × 5 × 6) × 9

= 5 × 9

= 45 cubic units.

Similarly, you can try the calculator to find the

- Find the surface area of the triangular pyramid if the apothem length = 6 units, base side = 8 units, and slant height = 14 units.
- Find the volume of a triangular pyramid if the base width of a triangle = 3 units, the base height of a triangle = 6 units, and height of the pyramid = 12 units

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