Volume of Deltoidal Icositetrahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3
V = 2/7*sqrt(292+(206*sqrt(2)))*le(Long)^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 Icositetrahedron - (Measured in Cubic Meter) - Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.
Long Edge of Deltoidal Icositetrahedron - (Measured in Meter) - Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.
STEP 1: Convert Input(s) to Base Unit
Long Edge of Deltoidal Icositetrahedron: 20 Meter --> 20 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 2/7*sqrt(292+(206*sqrt(2)))*le(Long)^3 --> 2/7*sqrt(292+(206*sqrt(2)))*20^3
Evaluating ... ...
V = 55204.9920889125
STEP 3: Convert Result to Output's Unit
55204.9920889125 Cubic Meter --> No Conversion Required
FINAL ANSWER
55204.9920889125 55204.99 Cubic Meter <-- Volume of Deltoidal Icositetrahedron
(Calculation completed in 00.020 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 Icositetrahedron Calculators

Volume of Deltoidal Icositetrahedron given NonSymmetry Diagonal
​ LaTeX ​ Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))))^3
Volume of Deltoidal Icositetrahedron given Symmetry Diagonal
​ LaTeX ​ Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3
Volume of Deltoidal Icositetrahedron given Short Edge
​ LaTeX ​ Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3
Volume of Deltoidal Icositetrahedron
​ LaTeX ​ Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3

Volume of Deltoidal Icositetrahedron Formula

​LaTeX ​Go
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3
V = 2/7*sqrt(292+(206*sqrt(2)))*le(Long)^3

What is Deltoidal Icositetrahedron?

A Deltoidal Icositetrahedron is a polyhedron with deltoid (kite) faces, those have three angles with 81.579° and one with 115.263°. It has eight vertices with three edges and eighteen vertices with four edges. In total, it has 24 faces, 48 edges, 26 vertices.

How to Calculate Volume of Deltoidal Icositetrahedron?

Volume of Deltoidal Icositetrahedron calculator uses Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3 to calculate the Volume of Deltoidal Icositetrahedron, Volume of Deltoidal Icositetrahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron. Volume of Deltoidal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Icositetrahedron using this online calculator? To use this online calculator for Volume of Deltoidal Icositetrahedron, enter Long Edge of Deltoidal Icositetrahedron (le(Long)) and hit the calculate button. Here is how the Volume of Deltoidal Icositetrahedron calculation can be explained with given input values -> 55204.99 = 2/7*sqrt(292+(206*sqrt(2)))*20^3.

FAQ

What is Volume of Deltoidal Icositetrahedron?
Volume of Deltoidal Icositetrahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron and is represented as V = 2/7*sqrt(292+(206*sqrt(2)))*le(Long)^3 or Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3. Long Edge of Deltoidal Icositetrahedron is the length of longest edge of the identical deltoidal faces of Deltoidal Icositetrahedron.
How to calculate Volume of Deltoidal Icositetrahedron?
Volume of Deltoidal Icositetrahedron formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron is calculated using Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*Long Edge of Deltoidal Icositetrahedron^3. To calculate Volume of Deltoidal Icositetrahedron, you need Long Edge of Deltoidal Icositetrahedron (le(Long)). With our tool, you need to enter the respective value for Long Edge of Deltoidal Icositetrahedron 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 Icositetrahedron?
In this formula, Volume of Deltoidal Icositetrahedron uses Long Edge of Deltoidal Icositetrahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Short Edge of Deltoidal Icositetrahedron)/(4+sqrt(2)))^3
  • Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3
  • Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))))^3
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