Volume of a Triangular Pyramid Calculator
A triangular pyramid is a three-dimensional shape having all faces as triangles. In a regular triangular pyramid, all faces are equilateral triangles and is known as a tetrahedron. In a regular triangular pyramid, the base is an equilateral triangle while other faces are isosceles triangles.
What is the Volume of a Triangular Pyramid Calculator?
'Online Volume of a Triangular Pyramid Calculator' helps you to calculate the volume of a triangular pyramid in a few seconds. A triangular pyramid is a three-dimensional shape having all faces as triangles. A triangular pyramid is bounded by four triangular faces and has a triangular base, the 3 faces meet at one vertex.
Volume of a Triangular Pyramid Calculator
How to Use Volume of a Triangular Pyramid Calculator?
Please follow the below steps to find the volume of a triangular pyramid:
- Step 1: Enter the base width of the triangle in the given input box.
- Step 2: Enter the base height of the triangle in the given input box.
- Step 3: Enter the height of the pyramid in the given input box.
- Step 4: Click on the "Calculate" button to find the volume of a triangular pyramid
- Step 5: Click on the "Reset" button to find the volume of a triangular pyramid for different values.
How to Find Volume of a Triangular Pyramid?
The volume of a triangular pyramid is the capacity of the pyramid or the measure of the amount of space it occupies and it is measured in cubic units. The volume of a triangular pyramid whose base width of triangle is 'b', the base height of the triangle is 'h', and the height of the pyramid is 'H' is calculated by the following formula:
The volume of a triangular pyramid = 1/3 × Base Area of triangle × Height of pyramid
Note: Base area of a triangle is 1/2 × base width of triangle × base height of the triangle
Solved Examples on Volume of a Triangular Pyramid Calculator
Example 1:
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) × H
= 1/3 × (1/2 × 5 × 6) × 9
= 5 × 9
= 45 cubic units.
Example 2:
Find the volume of a triangular pyramid with a base width of a triangle of 6 units, the base height of a triangle is 7 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) × H
= 1/3 × (1/2 × 6 × 7) × 9
= 63 cubic units.
Example 3:
Find the volume of a triangular pyramid with a base width of a triangle of 3 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) × H
= 1/3 × (1/2 × 3 × 6) × 9
= 27 cubic units.
Similarly, you can try the volume of a triangular pyramid calculator to find the volume of a triangular pyramid with the following dimensions:
1) Base width of a triangle = 3 units, base height of a triangle = 6 units, and height of the pyramid = 12 units
2) Base width of a triangle = 8 units, base height of a triangle = 12 units, and height of the pyramid = 14 units