A dodecahedron is a three-dimensional solid figure with 12 flat faces. It is one of the five Platonic solids, which are regular polyhedra.

In this calculation, we will use basic geometry principles to find the surface area and volume of a dodecahedron.

Side length (a)

:5m

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To do this, we will use the length of each of the dodecahedron's edges to calculate the area of each face.

Once the area of each face is known, we can calculate the total surface area and volume of the dodecahedron.

To calculate the surface area of a dodecahedron, you will need to use the formula:

Surface Area (A)

:516.1m2To calculate the volume of a dodecahedron, you will need to use the formula:

Volume (V)

:957.9m3Where: