Volume of Deltoidal Icositetrahedron given Midsphere Radius Calculator

✖Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.ⓘ Midsphere Radius of Deltoidal Icositetrahedron [r_m]

+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 Midsphere Radius [V]

⎘ Copy

👎

Formula

✖

Volume of Deltoidal Icositetrahedron given Midsphere Radius

Formula

`"V" = 2/7*sqrt(292+(206*sqrt(2)))*((2*"r"_{"m"})/(1+sqrt(2)))^3`

Example

`"54235.67m³"=2/7*sqrt(292+(206*sqrt(2)))*((2*"24m")/(1+sqrt(2)))^3`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Deltoidal Icositetrahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^3
V = 2/7*sqrt(292+(206*sqrt(2)))*((2*r_m)/(1+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.
Midsphere Radius of Deltoidal Icositetrahedron - (Measured in Meter) - Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Deltoidal Icositetrahedron: 24 Meter --> 24 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/7*sqrt(292+(206*sqrt(2)))*((2*r_m)/(1+sqrt(2)))^3 --> 2/7*sqrt(292+(206*sqrt(2)))*((2*24)/(1+sqrt(2)))^3

Evaluating ... ...

V = 54235.6714387798

STEP 3: Convert Result to Output's Unit

54235.6714387798 Cubic Meter --> No Conversion Required

FINAL ANSWER

54235.6714387798 ≈ 54235.67 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 Midsphere Radius

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!

< 8 Volume of Deltoidal Icositetrahedron Calculators

Volume of Deltoidal Icositetrahedron given Total Surface Area

Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))))^3

Volume of Deltoidal Icositetrahedron given Surface to Volume Ratio

Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^3

Volume of Deltoidal Icositetrahedron given NonSymmetry Diagonal

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

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 Insphere Radius

Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^3

Volume of Deltoidal Icositetrahedron given Midsphere Radius

Go Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^3

Volume of Deltoidal Icositetrahedron given Short Edge

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

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

Volume of Deltoidal Icositetrahedron given Midsphere Radius Formula

Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^3
V = 2/7*sqrt(292+(206*sqrt(2)))*((2*r_m)/(1+sqrt(2)))^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 given Midsphere Radius?

Volume of Deltoidal Icositetrahedron given Midsphere Radius calculator uses Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^3 to calculate the Volume of Deltoidal Icositetrahedron, Volume of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron. Volume of Deltoidal Icositetrahedron is denoted by V symbol.

How to calculate Volume of Deltoidal Icositetrahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Deltoidal Icositetrahedron given Midsphere Radius, enter Midsphere Radius of Deltoidal Icositetrahedron (r_m) and hit the calculate button. Here is how the Volume of Deltoidal Icositetrahedron given Midsphere Radius calculation can be explained with given input values -> 54235.67 = 2/7*sqrt(292+(206*sqrt(2)))*((2*24)/(1+sqrt(2)))^3.

FAQ

What is Volume of Deltoidal Icositetrahedron given Midsphere Radius?

Volume of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron and is represented as V = 2/7*sqrt(292+(206*sqrt(2)))*((2*r_m)/(1+sqrt(2)))^3 or Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^3. Midsphere Radius of Deltoidal Icositetrahedron is the radius of the sphere for which all the edges of the Deltoidal Icositetrahedron become a tangent line on that sphere.

How to calculate Volume of Deltoidal Icositetrahedron given Midsphere Radius?

Volume of Deltoidal Icositetrahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Deltoidal Icositetrahedron, calculated using midsphere radius of Deltoidal Icositetrahedron is calculated using Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*((2*Midsphere Radius of Deltoidal Icositetrahedron)/(1+sqrt(2)))^3. To calculate Volume of Deltoidal Icositetrahedron given Midsphere Radius, you need Midsphere Radius of Deltoidal Icositetrahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius 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 Midsphere Radius of Deltoidal Icositetrahedron. We can use 7 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)))*((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
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(sqrt((7*Total Surface Area of Deltoidal Icositetrahedron)/(12*sqrt(61+(38*sqrt(2))))))^3
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(Insphere Radius of Deltoidal Icositetrahedron/(sqrt((22+(15*sqrt(2)))/34)))^3
Volume of Deltoidal Icositetrahedron = 2/7*sqrt(292+(206*sqrt(2)))*(6/SA:V of Deltoidal Icositetrahedron*sqrt((61+(38*sqrt(2)))/(292+(206*sqrt(2)))))^3

Home

FREE PDFs

🔍 Search