Volume of Cuboctahedron Calculator

✖Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.ⓘ Edge Length of Cuboctahedron [l_e]

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✖Volume of Cuboctahedron is the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron.ⓘ Volume of Cuboctahedron [V]

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Volume of Cuboctahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3
V = 5*sqrt(2)/3*l_e^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.
Edge Length of Cuboctahedron - (Measured in Meter) - Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5*sqrt(2)/3*l_e^3 --> 5*sqrt(2)/3*10^3

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 00.006 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< Volume of Cuboctahedron Calculators

Volume of Cuboctahedron given Lateral Surface Area

LaTeX 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

LaTeX Go Volume of Cuboctahedron = 5*sqrt(2)/3*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^3

Volume of Cuboctahedron given Circumsphere Radius

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

Volume of Cuboctahedron

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

Volume of Cuboctahedron Formula

LaTeX Go

Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3
V = 5*sqrt(2)/3*l_e^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?

Volume of Cuboctahedron calculator uses Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3 to calculate the Volume of Cuboctahedron, Volume of Cuboctahedron formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

How to calculate Volume of Cuboctahedron using this online calculator? To use this online calculator for Volume of Cuboctahedron, enter Edge Length of Cuboctahedron (l_e) and hit the calculate button. Here is how the Volume of Cuboctahedron calculation can be explained with given input values -> 2357.023 = 5*sqrt(2)/3*10^3.

FAQ

What is Volume of Cuboctahedron?

Volume of Cuboctahedron formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron and is represented as V = 5*sqrt(2)/3*l_e^3 or Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3. Edge Length of Cuboctahedron is the length of the edge of the unit cell of the Cuboctahedron.

How to calculate Volume of Cuboctahedron?

Volume of Cuboctahedron formula is defined as the amount of 3-dimensional space enclosed by the surface of the Cuboctahedron is calculated using Volume of Cuboctahedron = 5*sqrt(2)/3*Edge Length of Cuboctahedron^3. To calculate Volume of Cuboctahedron, you need Edge Length of Cuboctahedron (l_e). With our tool, you need to enter the respective value for Edge Length 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 Edge Length of Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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