Examples on Volume of Tetrahedron
Example 1: Find the volume of the tetrahedron with edge 6 units.
Solution:
Volume of tetrahedron is given by:
Volume of Tetrahedron = a3 / (6√2)
Volume of tetrahedron = 63 / (6√2)
= 36 / (√2)
= 18√2 cubic units.
Example 2: If edge of the tetrahedron is 4 units then, find the volume of tetrahedron.
Solution:
Volume of tetrahedron is given by:
Volume of Tetrahedron = a3/(6√2)
Volume of tetrahedron = 43 / (6√2)
= 64/ (6√2)
= 32 / (3√2)
= (16√2) / 3 = 7.54 cubic units
Example 3: Find the edge of the tetrahedron if the volume of tetrahedron given is 144√2 cubic units.
Solution:
Volume of tetrahedron is given by:
Volume of Tetrahedron = a3/(6√2)
a3 = Volume of tetrahedron × 6√2
a3 = 144√2 × 6√2
a3 = 1728
a = ∛1728
a = 12 units
Therefore, the edge of given tetrahedron is 12 units.
How to Find Volume of a Tetrahedron
Volume of a regular tetrahedron is a3/(6√2) where a is the edge of the tetrahedron. Pyramid with a triangular base is called a tetrahedron, it is a solid with four triangular faces.
In this article, we will explore how to find the volume of tetrahedrons with solved examples related to the volume of tetrahedrons.
Table of Content
- What is Tetrahedron?
- How to Find Volume of a Tetrahedron
- Tetrahedron Volume Formula
- Tetrahedron Volume Formula When Four Points are Given
- Regular Tetrahedron Formula
- Examples on Volume of Tetrahedron
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