I have a dodecahedron. How do I find its volume?

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I have a dodecahedron. How do I find its volume?

It's a regular polyhedron with twelve pentagonal faces. Each edge length is 3 cm.

2006-10-06 12:53:06 · 4 answers · asked by Groovy 1 in Science & Mathematics ➔ Mathematics

4 answers

The formula is
V = ((15 + 7 * sqrt(5)) /4 ) * s^3
Just plug in 3 for s

2006-10-06 12:59:18 · answer #1 · answered by MsMath 7 · 1⤊ 0⤋

V = (1/4)(15 + 7 sqrt.of 5) edge length cube

2006-10-06 22:45:03 · answer #2 · answered by kezongputi 2 · 0⤊ 0⤋

If you're interested in a derivation of the volume rather than mere plugging and chugging, check out the website from Wolfram:
http://mathworld.wolfram.com/Dodecahedron.html
Enjoy...

2006-10-06 20:30:45 · answer #3 · answered by Anonymous · 0⤊ 0⤋

Dunk it in a bath of water and see the volume of water it displaces

2006-10-06 20:11:00 · answer #4 · answered by Orinoco 7 · 0⤊ 0⤋