OwlCalculator
OwlCalculator
  • Conversions
  • Health
  • finance Finance Calculator
  • Statistics
  • Combinatorics
  • Percentage Calculators
  • Arithmetic
  • math-curve Algebra
  • Geometry
  • Physics
  • Chemistry

Tetrahedron volume calculator

Volume

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

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.

Tetrahedron volume

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.

Follow Us

Tags

tetrahedron volume tetrahedron volume calculator tetrahedron volume formula
  • Area
  • Volume
  • Perimeter
  • Side
  • Height
  • Diagonal
  • Radius
  • Median
  • Bisector
  • Angle
  • Theorems
  • Triangle area
  • Square Area
  • Rectangle Area
  • Circle Area
  • Rhombus Area
  • Parallelogram Area
  • Trapezoid Area Calculator
  • Ellipse Area
  • Annulus Area
  • Quadrilateral Area
  • Annulus Sector Area
  • Circle Sector Area
  • Circle Segment Area
  • Sphere area
  • Cube Area
  • Cylinder area
  • Pyramid area
  • Parallelepiped area
  • Cone area
  • Truncated cone area
  • Tetrahedron area
  • Regular polygon area
  • Sphere volume
  • Cube volume
  • Cylinder volume
  • Pyramid volume
  • Parallelepiped volume
  • Cone volume
  • Truncated cone volume
  • Tetrahedron volume
  • Prism volume
  • Octahedron volume
  • Truncated pyramid volume
  • Ellipsoid volume
  • Capsule volume
  • Hemisphere volume
  • Spherical segment volume
  • Triangle perimeter
  • Square perimeter
  • Rectangle perimeter
  • Circle perimeter
  • Rhombus perimeter
  • Parallelogram perimeter
  • Trapezoid perimeter
  • Ellipse perimeter
  • Annulus perimeter
  • Quadrilateral perimeter
  • Circle sector perimeter
  • Regular polygon perimeter
  • Triangle side calculator
  • Square side calculator
  • Rectangle side calculator
  • Rhombus side calculator
  • Parallelogram side calculator
  • Trapezoid side calculator
  • Cube side calculator
  • Parallelepiped side calculator
  • Pyramid side calculator
  • Tetrahedron side calculator
  • Triangle height calculator
  • Trapezoid height calculator
  • Parallelogram/Rhombus height calculator
  • Pyramid height calculator
  • Prism height calculator
  • Cylinder height calculator
  • Cone height calculator
  • Square diagonal calculator
  • Rectangle diagonal calculator
  • Rhombus diagonal calculator
  • Parallelogram diagonal calculator
  • Trapezoid diagonal calculator
  • Cube diagonal calculator
  • Parallelepiped diagonal calculator
  • Cylinder diagonal calculator
  • Circle radius calculator
  • Cylinder radius calculator
  • Sphere radius calculator
  • Triangle median calculator
  • Triangle bisector calculator
  • Parallelogram bisector calculator
  • Trapezoid bisector calculator
  • Triangle angles
  • Rhombus angles
  • Sine of angle
  • Cosine of angle
  • Tangent of angle
  • Cotangent of angle
  • Pythagorean theorem
  • Sinus theorem
  • Cosine theorem
  • Tangens theorem
  • Cotangent theorem
  • Tangent-Secant theorem

OwlCalculator

2019-2025

Information F.A.Q About Us Terms of Service Privacy Policy Contact Us
Follow Us

© Copyright by iForce Systems LLC