Volume of Cuboctahedron given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Volume of Cuboctahedron = 5*sqrt(2)/3*(Perimeter of Cuboctahedron/24)^3
V = 5*sqrt(2)/3*(P/24)^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 Cuboctahedron - (Measured in Cubic Meter) - Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.
Perimeter of Cuboctahedron - (Measured in Meter) - Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
STEP 1: Convert Input(s) to Base Unit
Perimeter of Cuboctahedron: 240 Meter --> 240 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = 5*sqrt(2)/3*(P/24)^3 --> 5*sqrt(2)/3*(240/24)^3
Evaluating ... ...
V = 2357.02260395516
STEP 3: Convert Result to Output's Unit
2357.02260395516 Cubic Meter --> No Conversion Required
FINAL ANSWER
2357.02260395516 2357.023 Cubic Meter <-- Volume of Cuboctahedron
(Calculation completed in 00.020 seconds)

Credits

Created by Nikhil
Mumbai University (DJSCE), Mumbai
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Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand
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7 Volume of Cuboctahedron Calculators

Volume of Cuboctahedron given Surface to Volume Ratio
Go Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3
Volume of Cuboctahedron given Total Surface Area
Go Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2)
Volume of Cuboctahedron given Lateral Surface Area
Go Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2)
Volume of Cuboctahedron given Midsphere Radius
Go Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3
Volume of Cuboctahedron given Circumsphere Radius
Go Volume of Cuboctahedron = 5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3
Volume of Cuboctahedron given Perimeter
Go Volume of Cuboctahedron = 5*sqrt(2)/3*(Perimeter of Cuboctahedron/24)^3
Volume of Cuboctahedron
Go Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3

Volume of Cuboctahedron given Perimeter Formula

Volume of Cuboctahedron = 5*sqrt(2)/3*(Perimeter of Cuboctahedron/24)^3
V = 5*sqrt(2)/3*(P/24)^3

What is a Cuboctahedron?

A Cuboctahedron is a polyhedron with 8 triangular faces and 6 square faces. A cuboctahedron has 12 identical vertices, with 2 triangles and 2 squares meeting at each, and 24 identical edges, each separating a triangle from a square. As such, it is a quasiregular polyhedron, i.e. an Archimedean solid that is not only vertex-transitive but also edge-transitive. It is the only radially equilateral convex polyhedron.

How to Calculate Volume of Cuboctahedron given Perimeter?

Volume of Cuboctahedron given Perimeter calculator uses Volume of Cuboctahedron = 5*sqrt(2)/3*(Perimeter of Cuboctahedron/24)^3 to calculate the Volume of Cuboctahedron, The Volume of Cuboctahedron given Perimeter formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron, calculated using perimeter of Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

How to calculate Volume of Cuboctahedron given Perimeter using this online calculator? To use this online calculator for Volume of Cuboctahedron given Perimeter, enter Perimeter of Cuboctahedron (P) and hit the calculate button. Here is how the Volume of Cuboctahedron given Perimeter calculation can be explained with given input values -> 2357.023 = 5*sqrt(2)/3*(240/24)^3.

FAQ

What is Volume of Cuboctahedron given Perimeter?
The Volume of Cuboctahedron given Perimeter formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron, calculated using perimeter of Cuboctahedron and is represented as V = 5*sqrt(2)/3*(P/24)^3 or Volume of Cuboctahedron = 5*sqrt(2)/3*(Perimeter of Cuboctahedron/24)^3. Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
How to calculate Volume of Cuboctahedron given Perimeter?
The Volume of Cuboctahedron given Perimeter formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron, calculated using perimeter of Cuboctahedron is calculated using Volume of Cuboctahedron = 5*sqrt(2)/3*(Perimeter of Cuboctahedron/24)^3. To calculate Volume of Cuboctahedron given Perimeter, you need Perimeter of Cuboctahedron (P). With our tool, you need to enter the respective value for Perimeter of Cuboctahedron 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 Cuboctahedron?
In this formula, Volume of Cuboctahedron uses Perimeter of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3
  • Volume of Cuboctahedron = 5*sqrt(2)/3*Circumsphere Radius of Cuboctahedron^3
  • Volume of Cuboctahedron = 5*sqrt(2)/3*(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4))^(3/2)
  • Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3
  • Volume of Cuboctahedron = 5*sqrt(2)/3*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^3
  • Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2)
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