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:

    “... nothing is more human than substituting the quantity of words and actions for their character. But using imprecise words is very similar to using lots of words, for the more imprecise a word is, the greater the area it covers.”
    —Robert Musil (1880–1942)

    “To be thoroughly conversant with a Man’s heart, is to take our final lesson in the iron-clasped volume of despair.”
    —Edgar Allan Poe (1809–1845)