Volume of Rhombic Dodecahedron given Midsphere Radius Calculator

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

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✖Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.ⓘ Volume of Rhombic Dodecahedron given Midsphere Radius [V]

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Volume of Rhombic Dodecahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3
V = (16*sqrt(3))/9*((3*r_m)/(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 Rhombic Dodecahedron - (Measured in Cubic Meter) - Volume of Rhombic Dodecahedron is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron.
Midsphere Radius of Rhombic Dodecahedron - (Measured in Meter) - Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.

STEP 1: Convert Input(s) to Base Unit

Midsphere Radius of Rhombic Dodecahedron: 9 Meter --> 9 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = (16*sqrt(3))/9*((3*r_m)/(2*sqrt(2)))^3 --> (16*sqrt(3))/9*((3*9)/(2*sqrt(2)))^3

Evaluating ... ...

V = 2678.5170337334

STEP 3: Convert Result to Output's Unit

2678.5170337334 Cubic Meter --> No Conversion Required

FINAL ANSWER

2678.5170337334 ≈ 2678.517 Cubic Meter <-- Volume of Rhombic Dodecahedron

(Calculation completed in 00.015 seconds)

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< Volume of Rhombic Dodecahedron Calculators

Volume of Rhombic Dodecahedron given Surface to Volume Ratio

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

Volume of Rhombic Dodecahedron given Total Surface Area

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)

Volume of Rhombic Dodecahedron given Midsphere Radius

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3

Volume of Rhombic Dodecahedron

LaTeX Go Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3

Volume of Rhombic Dodecahedron given Midsphere Radius Formula

LaTeX Go

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3
V = (16*sqrt(3))/9*((3*r_m)/(2*sqrt(2)))^3

What is Rhombic Dodecahedron?

In geometry, the Rhombic Dodecahedron is a convex polyhedron with 12 congruent rhombic faces. It has 24 edges, and 14 vertices of two types. It is a Catalan solid, and the dual polyhedron of the cuboctahedron.

How to Calculate Volume of Rhombic Dodecahedron given Midsphere Radius?

Volume of Rhombic Dodecahedron given Midsphere Radius calculator uses Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3 to calculate the Volume of Rhombic Dodecahedron, The Volume of Rhombic Dodecahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron. Volume of Rhombic Dodecahedron is denoted by V symbol.

How to calculate Volume of Rhombic Dodecahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Rhombic Dodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Dodecahedron (r_m) and hit the calculate button. Here is how the Volume of Rhombic Dodecahedron given Midsphere Radius calculation can be explained with given input values -> 2678.517 = (16*sqrt(3))/9*((3*9)/(2*sqrt(2)))^3.

FAQ

What is Volume of Rhombic Dodecahedron given Midsphere Radius?

The Volume of Rhombic Dodecahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron and is represented as V = (16*sqrt(3))/9*((3*r_m)/(2*sqrt(2)))^3 or Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3. Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.

How to calculate Volume of Rhombic Dodecahedron given Midsphere Radius?

The Volume of Rhombic Dodecahedron given Midsphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron is calculated using Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)))^3. To calculate Volume of Rhombic Dodecahedron given Midsphere Radius, you need Midsphere Radius of Rhombic Dodecahedron (r_m). With our tool, you need to enter the respective value for Midsphere Radius of Rhombic Dodecahedron 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 Rhombic Dodecahedron?

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

Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*Edge Length of Rhombic Dodecahedron^3
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))^(3/2)
Volume of Rhombic Dodecahedron = (16*sqrt(3))/9*((9*sqrt(2))/(2*sqrt(3)*Surface to Volume Ratio of Rhombic Dodecahedron))^3

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