The Volume of a Dodecahedron calculator computes the volume of a regular dodecahedron.
INSTRUCTIONS: Choose units and enter the following:
- (s) Length of Side of regular pentagons in dodecahedron.
Volume(V): The calculator returns the volume in cubic meters. However this can be automatically converted to other volume units via the pull-down menu. To compute the surface area of a regular dodecahedron, CLICK HERE.
The Math / Science
A regular dodecahedron is three dimensional shape with twelve faces comprised of regular pentagons. This produces 20 vertices, 30 edges and 160 diagonals.
The formula for the volume of a regular dodecahedron is as follows:
` V = 1/4 (15+7sqrt(5))s^3`
where:
- V = Volume of Dodecahedron
- s = length of sides of pentagons
Dodecahedron
A regular dodecahedron is a three-dimensional geometric shape composed of twelve congruent regular pentagonal faces. Each face of a regular dodecahedron is identical, meaning all sides are the same length, and all angles between adjacent sides are equal. It's one of the five Platonic solids, which are the only convex regular polyhedra. The regular dodecahedron has 20 vertices and 30 edges. It's a symmetrical and aesthetically pleasing shape often encountered in geometry and mathematics.
Dodecahedron Calculators
- Dodecahedron Surface Area: Computes the surface area based on the length of the sides (edges).
- Dodecahedron Volume: Compute the volume based on the length of the sides (edges).