Volume of Great Dodecahedron given Ridge Length Calculator

✖Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.ⓘ Ridge Length of Great Dodecahedron [l_Ridge]

+10%

-10%

✖Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron.ⓘ Volume of Great Dodecahedron given Ridge Length [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Great Dodecahedron given Ridge Length Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3
V = 5/4*(sqrt(5)-1)*((2*l_Ridge)/(sqrt(5)-1))^3
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume of Great Dodecahedron - (Measured in Cubic Meter) - Volume of Great Dodecahedron is the total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron.
Ridge Length of Great Dodecahedron - (Measured in Meter) - Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Ridge Length of Great Dodecahedron: 6 Meter --> 6 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5/4*(sqrt(5)-1)*((2*l_Ridge)/(sqrt(5)-1))^3 --> 5/4*(sqrt(5)-1)*((2*6)/(sqrt(5)-1))^3

Evaluating ... ...

V = 1413.73835392494

STEP 3: Convert Result to Output's Unit

1413.73835392494 Cubic Meter --> No Conversion Required

FINAL ANSWER

1413.73835392494 ≈ 1413.738 Cubic Meter <-- Volume of Great Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Great Dodecahedron » Volume of Great Dodecahedron » Volume of Great Dodecahedron given Ridge Length

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Volume of Great Dodecahedron Calculators

Volume of Great Dodecahedron given Circumsphere Radius

LaTeX Go Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))))^3

Volume of Great Dodecahedron given Pyramidal Height

LaTeX Go Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))))^3

Volume of Great Dodecahedron given Ridge Length

LaTeX Go Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3

Volume of Great Dodecahedron

LaTeX Go Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron^3

Volume of Great Dodecahedron given Ridge Length Formula

LaTeX Go

Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3
V = 5/4*(sqrt(5)-1)*((2*l_Ridge)/(sqrt(5)-1))^3

What is Great Dodecahedron?

The Great Dodecahedron is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces, with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.

How to Calculate Volume of Great Dodecahedron given Ridge Length?

Volume of Great Dodecahedron given Ridge Length calculator uses Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3 to calculate the Volume of Great Dodecahedron, Volume of Great Dodecahedron given Ridge Length formula is defined as athe total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron, calculated using its ridge length. Volume of Great Dodecahedron is denoted by V symbol.

How to calculate Volume of Great Dodecahedron given Ridge Length using this online calculator? To use this online calculator for Volume of Great Dodecahedron given Ridge Length, enter Ridge Length of Great Dodecahedron (l_Ridge) and hit the calculate button. Here is how the Volume of Great Dodecahedron given Ridge Length calculation can be explained with given input values -> 1413.738 = 5/4*(sqrt(5)-1)*((2*6)/(sqrt(5)-1))^3.

FAQ

What is Volume of Great Dodecahedron given Ridge Length?

Volume of Great Dodecahedron given Ridge Length formula is defined as athe total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron, calculated using its ridge length and is represented as V = 5/4*(sqrt(5)-1)*((2*l_Ridge)/(sqrt(5)-1))^3 or Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3. Ridge Length of Great Dodecahedron is the distance between any inwards directed pyramidal apex and any of its adjacent peak vertex of the Great Dodecahedron.

How to calculate Volume of Great Dodecahedron given Ridge Length?

Volume of Great Dodecahedron given Ridge Length formula is defined as athe total quantity of three dimensional space enclosed by the surface of the Great Dodecahedron, calculated using its ridge length is calculated using Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((2*Ridge Length of Great Dodecahedron)/(sqrt(5)-1))^3. To calculate Volume of Great Dodecahedron given Ridge Length, you need Ridge Length of Great Dodecahedron (l_Ridge). With our tool, you need to enter the respective value for Ridge Length of Great Dodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Volume of Great Dodecahedron?

In this formula, Volume of Great Dodecahedron uses Ridge Length of Great Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*Edge Length of Great Dodecahedron^3
Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((4*Circumsphere Radius of Great Dodecahedron)/sqrt(10+(2*sqrt(5))))^3
Volume of Great Dodecahedron = 5/4*(sqrt(5)-1)*((6*Pyramidal Height of Great Dodecahedron)/(sqrt(3)*(3-sqrt(5))))^3

Home

FREE PDFs

🔍 Search