Dodecahedron: Difference between revisions
Jump to navigation
Jump to search
(Created page with "What is the mathematical formula used to determine the area inside a pentadodecahedron? A penta-dodecahedron is the same as a Dodecahedron which has twelve faces consisting o...") |
mNo edit summary |
||
| (One intermediate revision by one other user not shown) | |||
| Line 4: | Line 4: | ||
Since 7.663118961 is an approximate number and the square root of 5 is approximately 2.236 this formula can only be close | Since 7.663118961 is an approximate number and the square root of 5 is approximately 2.236 this formula can only be close | ||
Where the Volume=V and the length of the side of a pentagon = a the formula is | |||
: V = 1 ⁄ 4 × (15 + 7 × √5) × a³ ≈ 7.663118961 × a³ | |||
== Formulas and calculators == | == Formulas and calculators == | ||
| Line 9: | Line 12: | ||
http://www.aqua-calc.com/calculate/volume-dodecahedron | http://www.aqua-calc.com/calculate/volume-dodecahedron | ||
[[Category:Definitions]] | |||
[[Category:Education]] | |||
Latest revision as of 20:59, 27 July 2023
What is the mathematical formula used to determine the area inside a pentadodecahedron?
A penta-dodecahedron is the same as a Dodecahedron which has twelve faces consisting of equal pentagon surfaces. The volume of a Dodecahedron, if the length of one side of a pentagon is equal to "a", will be close to 1 ⁄ 4 × (15 + 7 × √5) × a³ ≈ 7.663118961 × a³ Since 7.663118961 is an approximate number and the square root of 5 is approximately 2.236 this formula can only be close
Where the Volume=V and the length of the side of a pentagon = a the formula is
- V = 1 ⁄ 4 × (15 + 7 × √5) × a³ ≈ 7.663118961 × a³