Truncated Icosahedron - Area and Volume

Area and Volume

The area A and the volume V of the truncated icosahedron of edge length a are:

\begin{align}
A & = \left ( 20 \cdot \frac32\sqrt{3} + 12 \cdot \frac54\sqrt{ 1 + 2/\sqrt{5}} \right ) a^2 \approx 72.607253a^2 \\
V & = \frac{1}{4} (125+43\sqrt{5}) a^3 \approx 55.2877308a^3. \\
\end{align}

Read more about this topic:  Truncated Icosahedron

Famous quotes containing the words area and/or volume:

    “Prosperous farmers mean more employment, more prosperity for the workers and the business men of ... every industrial area in the whole country.”
    —Franklin D. Roosevelt (1882–1945)

    “A tattered copy of Johnson’s large Dictionary was a great delight to me, on account of the specimens of English versifications which I found in the Introduction. I learned them as if they were so many poems. I used to keep this old volume close to my pillow; and I amused myself when I awoke in the morning by reciting its jingling contrasts of iambic and trochaic and dactylic metre, and thinking what a charming occupation it must be to “make up” verses.”
    —Lucy Larcom (1824–1893)