Volume of a dodecahedron?

Question

If the length of an edge of a dodecahedron is 15cm what is the volume?

Answer 1

V = 1/4 (15 + 7√5)a³

= 7.66311896a³

= 7.66311896(15cm)³

= 25863cm³

Answer 2

Formula for Volume of a dodecahedron

V = [ (15 + 7√5) /4 ] * s^3

where s = side length

This can be approximated as:

V= 7.663 s^3

A dodecahedron of edge length 15 cm would have a volume of about 25,863 cubic centimeters