Volume of Deltoidal Hexecontahedron given Short Edge Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*le(Short))/(3*(7-sqrt(5))))^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 Deltoidal Hexecontahedron - (Measured in Cubic Meter) - Volume of Deltoidal Hexecontahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron.
Short Edge of Deltoidal Hexecontahedron - (Measured in Meter) - Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
STEP 1: Convert Input(s) to Base Unit
Short Edge of Deltoidal Hexecontahedron: 6 Meter --> 6 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*le(Short))/(3*(7-sqrt(5))))^3 --> 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*6)/(3*(7-sqrt(5))))^3
Evaluating ... ...
V = 17496.8950252415
STEP 3: Convert Result to Output's Unit
17496.8950252415 Cubic Meter --> No Conversion Required
FINAL ANSWER
17496.8950252415 17496.9 Cubic Meter <-- Volume of Deltoidal Hexecontahedron
(Calculation completed in 00.004 seconds)

Credits

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Created by Shweta Patil
Walchand College of Engineering (WCE), Sangli
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Verified by Mridul Sharma
Indian Institute of Information Technology (IIIT), Bhopal
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Volume of Deltoidal Hexecontahedron Calculators

Volume of Deltoidal Hexecontahedron given NonSymmetry Diagonal
​ LaTeX ​ Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
Volume of Deltoidal Hexecontahedron given Symmetry Diagonal
​ LaTeX ​ Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
Volume of Deltoidal Hexecontahedron given Short Edge
​ LaTeX ​ Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
Volume of Deltoidal Hexecontahedron
​ LaTeX ​ Go Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3

Volume of Deltoidal Hexecontahedron given Short Edge Formula

​LaTeX ​Go
Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3
V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*le(Short))/(3*(7-sqrt(5))))^3

What is Deltoidal Hexecontahedron?

A Deltoidal Hexecontahedron is a polyhedron with deltoid (kite) faces, those have two angles with 86.97°, one angle with 118.3° and one with 67.8°. It has twenty vertices with three edges, thirty vertices with four edges and twelve vertices with five edges. In total, it has 60 faces, 120 edges, 62 vertices.

How to Calculate Volume of Deltoidal Hexecontahedron given Short Edge?

Volume of Deltoidal Hexecontahedron given Short Edge calculator uses Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3 to calculate the Volume of Deltoidal Hexecontahedron, Volume of Deltoidal Hexecontahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron. Volume of Deltoidal Hexecontahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Hexecontahedron given Short Edge using this online calculator? To use this online calculator for Volume of Deltoidal Hexecontahedron given Short Edge, enter Short Edge of Deltoidal Hexecontahedron (le(Short)) and hit the calculate button. Here is how the Volume of Deltoidal Hexecontahedron given Short Edge calculation can be explained with given input values -> 17496.9 = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*6)/(3*(7-sqrt(5))))^3.

FAQ

What is Volume of Deltoidal Hexecontahedron given Short Edge?
Volume of Deltoidal Hexecontahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron and is represented as V = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*le(Short))/(3*(7-sqrt(5))))^3 or Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3. Short Edge of Deltoidal Hexecontahedron is the length of shortest edge of the identical deltoidal faces of Deltoidal Hexecontahedron.
How to calculate Volume of Deltoidal Hexecontahedron given Short Edge?
Volume of Deltoidal Hexecontahedron given Short Edge formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Hexecontahedron, calculated using short edge of Deltoidal Hexecontahedron is calculated using Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((22*Short Edge of Deltoidal Hexecontahedron)/(3*(7-sqrt(5))))^3. To calculate Volume of Deltoidal Hexecontahedron given Short Edge, you need Short Edge of Deltoidal Hexecontahedron (le(Short)). With our tool, you need to enter the respective value for Short Edge of Deltoidal Hexecontahedron 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 Deltoidal Hexecontahedron?
In this formula, Volume of Deltoidal Hexecontahedron uses Short Edge of Deltoidal Hexecontahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*Long Edge of Deltoidal Hexecontahedron^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*(Symmetry Diagonal of Deltoidal Hexecontahedron/(3*sqrt((5-sqrt(5))/20)))^3
  • Volume of Deltoidal Hexecontahedron = 45/11*sqrt((370+(164*sqrt(5)))/25)*((11*NonSymmetry Diagonal of Deltoidal Hexecontahedron)/(sqrt((470+(156*sqrt(5)))/5)))^3
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