Volume of Rhombicuboctahedron Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3
V = 2/3*(6+(5*sqrt(2)))*le^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.
Edge Length of Rhombicuboctahedron - (Measured in Meter) - Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Rhombicuboctahedron: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 2/3*(6+(5*sqrt(2)))*le^3 --> 2/3*(6+(5*sqrt(2)))*10^3
Evaluating ... ...
V = 8714.04520791032
STEP 3: Convert Result to Output's Unit
8714.04520791032 Cubic Meter --> No Conversion Required
FINAL ANSWER
8714.04520791032 8714.045 Cubic Meter <-- Volume of Rhombicuboctahedron
(Calculation completed in 00.004 seconds)

Credits

Created by Mona Gladys
St Joseph's College (SJC), Bengaluru
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Vellore Institute of Technology (VIT), Bhopal
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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 Formula

Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3
V = 2/3*(6+(5*sqrt(2)))*le^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?

Volume of Rhombicuboctahedron calculator uses Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3 to calculate the Volume of Rhombicuboctahedron, Volume of Rhombicuboctahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron. Volume of Rhombicuboctahedron is denoted by V symbol.

How to calculate Volume of Rhombicuboctahedron using this online calculator? To use this online calculator for Volume of Rhombicuboctahedron, enter Edge Length of Rhombicuboctahedron (le) and hit the calculate button. Here is how the Volume of Rhombicuboctahedron calculation can be explained with given input values -> 8714.045 = 2/3*(6+(5*sqrt(2)))*10^3.

FAQ

What is Volume of Rhombicuboctahedron?
Volume of Rhombicuboctahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron and is represented as V = 2/3*(6+(5*sqrt(2)))*le^3 or Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3. Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.
How to calculate Volume of Rhombicuboctahedron?
Volume of Rhombicuboctahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Rhombicuboctahedron is calculated using Volume of Rhombicuboctahedron = 2/3*(6+(5*sqrt(2)))*Edge Length of Rhombicuboctahedron^3. To calculate Volume of Rhombicuboctahedron, you need Edge Length of Rhombicuboctahedron (le). With our tool, you need to enter the respective value for Edge Length 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 Edge Length 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)))*(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)))*((2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(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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