Tetrahedron volume calculator

From ancient times, people needed to measure the amount of various substances. Bulk substances and liquids could be measured by filling them with vessels of a certain capacity, determining their quantity by volume. The concept of volume in solid geometry is introduced similarly to the concept of area in plane geometry. In plane geometry, we determined the area like this: the area of ​​a polygon is the value of the part of the plane that the polygon occupies. To formulate the concept of volume similarly to this concept. The magnitude of the part of the space occupied by the geometric body is called the volume of this body. Volume is measured in "cubic" units.

Tetrahedron — is a polyhedron whose faces are four triangles. The tetrahedron has four faces, four vertices, and six edges. One of the triangles is called the base of the tetrahedron, and the other three are called the lateral faces of the tetrahedron.

A tetrahedron is a three-dimensional geometric shape with four triangular faces. The volume of a tetrahedron can be calculated using the following formula:

V = \dfrac{\sqrt{2}}{12}a^3

where V is the volume, and a is the side.

How to Use the Tetrahedron Volume Calculator

Our tetrahedron volume calculator makes it easy to find the volume of your tetrahedron. To use the calculator:

1. Enter the length of one of the edges in the first box.
2. Our calculator will automatically find the volume of your tetrahedron.

Tetrahedron Volume Examples

Here are some examples of finding the volume of a tetrahedron using the formula:

Example 1

Find the volume of a tetrahedron with an edge length of 8 units.

First, we need to find the area of the base:

V = \dfrac{\sqrt{2}}{12}8^3 = 60.34

Therefore, the volume of the tetrahedron is approximately 60.34 cubic units.

Example 2

Find the volume of a tetrahedron with an edge length of 5 units.

First, we need to find the area of the base:

V = \dfrac{\sqrt{2}}{12}5^3 = 14.73

Therefore, the volume of the tetrahedron is approximately 14.43 cubic units.