Volume of Rhombicuboctahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Rhombicuboctahedron [r_c]

+10%

-10%

✖Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.ⓘ Volume of Rhombicuboctahedron given Circumsphere Radius [V]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download Archimedean Solids Formula PDF PDF Image

Volume of Rhombicuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3
V = 2/3*(6+(5*sqrt(2)))*((2*r_c)/(sqrt(5+(2*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 Rhombicuboctahedron - (Measured in Cubic Meter) - Volume of Rhombicuboctahedron is the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron.
Circumsphere Radius of Rhombicuboctahedron - (Measured in Meter) - Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Rhombicuboctahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 2/3*(6+(5*sqrt(2)))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^3 --> 2/3*(6+(5*sqrt(2)))*((2*14)/(sqrt(5+(2*sqrt(2)))))^3

Evaluating ... ...

V = 8733.37549318104

STEP 3: Convert Result to Output's Unit

8733.37549318104 Cubic Meter --> No Conversion Required

FINAL ANSWER

8733.37549318104 ≈ 8733.375 Cubic Meter <-- Volume of Rhombicuboctahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Archimedean Solids » Rhombicuboctahedron » Volume of Rhombicuboctahedron » Volume of Rhombicuboctahedron given Circumsphere Radius

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Anamika Mittal

Vellore Institute of Technology (VIT), Bhopal

Anamika Mittal has verified this Calculator and 300+ more calculators!

< Volume of Rhombicuboctahedron Calculators

Volume of Rhombicuboctahedron given Circumsphere Radius

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3

Volume of Rhombicuboctahedron given Total Surface Area

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3

Volume of Rhombicuboctahedron given Midsphere Radius

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3

Volume of Rhombicuboctahedron

LaTeX Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3

Volume of Rhombicuboctahedron given Circumsphere Radius Formula

LaTeX Go

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3
V = 2/3*(6+(5*sqrt(2)))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^3

What is a Rhombicuboctahedron?

In geometry, the Rhombicuboctahedron, or small Rhombicuboctahedron, is an Archimedean solid with 8 triangular and 18 square faces. There are 24 identical vertices, with one triangle and three squares meeting at each one. The polyhedron has octahedral symmetry, like the cube and octahedron. Its dual is called the deltoidal icositetrahedron or trapezoidal icositetrahedron, although its faces are not really true trapezoids.

How to Calculate Volume of Rhombicuboctahedron given Circumsphere Radius?

Volume of Rhombicuboctahedron given Circumsphere Radius calculator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3 to calculate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to calculate Volume of Rhombicuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Volume of Rhombicuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Rhombicuboctahedron (r_c) and hit the calculate button. Here is how the Volume of Rhombicuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 8733.375 = 2/3*(6+(5*sqrt(2)))*((2*14)/(sqrt(5+(2*sqrt(2)))))^3.

FAQ

What is Volume of Rhombicuboctahedron given Circumsphere Radius?

Volume of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron and is represented as V = 2/3*(6+(5*sqrt(2)))*((2*r_c)/(sqrt(5+(2*sqrt(2)))))^3 or Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3. Circumsphere Radius of Rhombicuboctahedron is the radius of the sphere that contains the Rhombicuboctahedron in such a way that all the vertices are lying on the sphere.

How to calculate Volume of Rhombicuboctahedron given Circumsphere Radius?

Volume of Rhombicuboctahedron given Circumsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the circumsphere radius of the Rhombicuboctahedron is calculated using Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3. To calculate Volume of Rhombicuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Rhombicuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius of Rhombicuboctahedron 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 Rhombicuboctahedron?

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

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*(sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3)))))^3
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3

Home

FREE PDFs

🔍 Search