Mensuration >> Dodecahedron

Volume of dodecahedron with edge length - Dodecahedron - Mensuration problem solver

Calculate the volume of a regular dodecahedron with an edge length of 10 cm.


edge length = 10
V =  (( a * a * a ) * ( 15 + ( 7 * sqrt(5) ))) / 4
volume = (( 10 * 10 * 10 ) * ( 15 + ( 7 * sqrt(5) ))) / 4
volume = 7663.119
So the volume is 7663.119

Dodecahedron Formulas :

A =  3 * a * a * sqrt( 25 + ( 10 * sqrt( 5 ) )

V =  (( a * a * a ) * ( 15 + ( 7 * sqrt(5) ))) / 4


where,

A = surface area
a = edge length
V = volume
re = exsphere radius
rm = midsphere radius
ri = insphere radius

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