Dodecahedron Surface Area

The Surface Area of a Dodecahedron calculator computes the volume of a regular dodecahedron.

INSTRUCTIONS:  Choose your preferred units and enter the following:

• (a) This is the length of the one side of the regular pentagons.

Surface Area:  The calculator returns the surface area in square meters.  However this can be automatically converted to other area units via the pull-down menu.  To compute the volume of a 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 surface area of a regular dodecahedron is as follows:

       `A = 3(25+10sqrt(5))a^2`

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).