Volume of Deltoidal Icositetrahedron given Symmetry Diagonal Calculator

✖Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.ⓘ Symmetry Diagonal of Deltoidal Icositetrahedron [d_Symmetry]

+10%

-10%

✖Volume of Deltoidal Icositetrahedron is the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron.ⓘ Volume of Deltoidal Icositetrahedron given Symmetry Diagonal [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Deltoidal Icositetrahedron given Symmetry Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3
V = 2/7*sqrt(292+(206*sqrt(2)))*((7*d_Symmetry)/(sqrt(46+(15*sqrt(2)))))^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.
Symmetry Diagonal of Deltoidal Icositetrahedron - (Measured in Meter) - Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.

STEP 1: Convert Input(s) to Base Unit

Symmetry Diagonal of Deltoidal Icositetrahedron: 23 Meter --> 23 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/7*sqrt(292+(206*sqrt(2)))*((7*d_Symmetry)/(sqrt(46+(15*sqrt(2)))))^3 --> 2/7*sqrt(292+(206*sqrt(2)))*((7*23)/(sqrt(46+(15*sqrt(2)))))^3

Evaluating ... ...

V = 52261.7683984379

STEP 3: Convert Result to Output's Unit

52261.7683984379 Cubic Meter --> No Conversion Required

FINAL ANSWER

52261.7683984379 ≈ 52261.77 Cubic Meter <-- Volume of Deltoidal Icositetrahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » CatalanSolids » Deltoidal Icositetrahedron » Volume of Deltoidal Icositetrahedron » Volume of Deltoidal Icositetrahedron given Symmetry Diagonal

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< 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 given Symmetry Diagonal Formula

LaTeX Go

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 given Symmetry Diagonal?

Volume of Deltoidal Icositetrahedron given Symmetry Diagonal calculator uses Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3 to calculate the Volume of Deltoidal Icositetrahedron, Volume of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using symmetry diagonal of Deltoidal Icositetrahedron. Volume of Deltoidal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Icositetrahedron given Symmetry Diagonal using this online calculator? To use this online calculator for Volume of Deltoidal Icositetrahedron given Symmetry Diagonal, enter Symmetry Diagonal of Deltoidal Icositetrahedron (d_Symmetry) and hit the calculate button. Here is how the Volume of Deltoidal Icositetrahedron given Symmetry Diagonal calculation can be explained with given input values -> 52261.77 = 2/7*sqrt(292+(206*sqrt(2)))*((7*23)/(sqrt(46+(15*sqrt(2)))))^3.

FAQ

What is Volume of Deltoidal Icositetrahedron given Symmetry Diagonal?

Volume of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using symmetry diagonal of Deltoidal Icositetrahedron and is represented as V = 2/7*sqrt(292+(206*sqrt(2)))*((7*d_Symmetry)/(sqrt(46+(15*sqrt(2)))))^3 or Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3. Symmetry Diagonal of Deltoidal Icositetrahedron is the diagonal which cuts the deltoid faces of Deltoidal Icositetrahedron into two equal halves.

How to calculate Volume of Deltoidal Icositetrahedron given Symmetry Diagonal?

Volume of Deltoidal Icositetrahedron given Symmetry Diagonal formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using symmetry diagonal of Deltoidal Icositetrahedron is calculated using Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((7*Symmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(46+(15*sqrt(2)))))^3. To calculate Volume of Deltoidal Icositetrahedron given Symmetry Diagonal, you need Symmetry Diagonal of Deltoidal Icositetrahedron (d_Symmetry). With our tool, you need to enter the respective value for Symmetry Diagonal 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 Symmetry Diagonal 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)))*Long Edge of Deltoidal Icositetrahedron^3
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)))*((2*NonSymmetry Diagonal of Deltoidal Icositetrahedron)/(sqrt(4+(2*sqrt(2)))))^3

Home

FREE PDFs

🔍 Search