Volume of Rhombicuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3
V = 2/3*(6+(5*sqrt(2)))*((2*rm)/(sqrt(4+(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.
Midsphere Radius of Rhombicuboctahedron - (Measured in Meter) - Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Rhombicuboctahedron: 13 Meter --> 13 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 2/3*(6+(5*sqrt(2)))*((2*rm)/(sqrt(4+(2*sqrt(2)))))^3 --> 2/3*(6+(5*sqrt(2)))*((2*13)/(sqrt(4+(2*sqrt(2)))))^3
Evaluating ... ...
V = 8583.38977319598
STEP 3: Convert Result to Output's Unit
8583.38977319598 Cubic Meter --> No Conversion Required
FINAL ANSWER
8583.38977319598 8583.39 Cubic Meter <-- Volume of Rhombicuboctahedron
(Calculation completed in 00.004 seconds)

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5 Volume of Rhombicuboctahedron Calculators

Volume of Rhombicuboctahedron given Surface to Volume Ratio
Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3
Volume of Rhombicuboctahedron given Circumsphere Radius
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
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
Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3
Volume of Rhombicuboctahedron
Go Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3

Volume of Rhombicuboctahedron given Midsphere Radius Formula

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3
V = 2/3*(6+(5*sqrt(2)))*((2*rm)/(sqrt(4+(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 Midsphere Radius?

Volume of Rhombicuboctahedron given Midsphere Radius calculator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3 to calculate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to calculate Volume of Rhombicuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Volume of Rhombicuboctahedron given Midsphere Radius, enter Midsphere Radius of Rhombicuboctahedron (rm) and hit the calculate button. Here is how the Volume of Rhombicuboctahedron given Midsphere Radius calculation can be explained with given input values -> 8583.39 = 2/3*(6+(5*sqrt(2)))*((2*13)/(sqrt(4+(2*sqrt(2)))))^3.

FAQ

What is Volume of Rhombicuboctahedron given Midsphere Radius?
Volume of Rhombicuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron and is represented as V = 2/3*(6+(5*sqrt(2)))*((2*rm)/(sqrt(4+(2*sqrt(2)))))^3 or Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3. Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron become a tangent line on that sphere.
How to calculate Volume of Rhombicuboctahedron given Midsphere Radius?
Volume of Rhombicuboctahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron is calculated using Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))))^3. To calculate Volume of Rhombicuboctahedron given Midsphere Radius, you need Midsphere Radius of Rhombicuboctahedron (rm). With our tool, you need to enter the respective value for Midsphere 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 Midsphere Radius of Rhombicuboctahedron. We can use 4 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*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2)))))^3
  • Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*((3*(9+sqrt(3)))/(Surface to Volume Ratio of Rhombicuboctahedron*(6+(5*sqrt(2)))))^3
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