Volume of Cuboctahedron given Total Surface Area Calculator

✖Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.ⓘ Total Surface Area of Cuboctahedron [TSA]

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

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Formula

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Volume of Cuboctahedron given Total Surface Area

Formula

`"V" = 5*sqrt(2)/3*("TSA"/(2*(3+sqrt(3))))^(3/2)`

Example

`"2370.446m³"=5*sqrt(2)/3*("950m²"/(2*(3+sqrt(3))))^(3/2)`

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Volume of Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2)
V = 5*sqrt(2)/3*(TSA/(2*(3+sqrt(3))))^(3/2)
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.
Total Surface Area of Cuboctahedron - (Measured in Square Meter) - Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Cuboctahedron: 950 Square Meter --> 950 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 5*sqrt(2)/3*(TSA/(2*(3+sqrt(3))))^(3/2) --> 5*sqrt(2)/3*(950/(2*(3+sqrt(3))))^(3/2)

Evaluating ... ...

V = 2370.4459843664

STEP 3: Convert Result to Output's Unit

2370.4459843664 Cubic Meter --> No Conversion Required

FINAL ANSWER

2370.4459843664 ≈ 2370.446 Cubic Meter <-- Volume of Cuboctahedron

(Calculation completed in 00.004 seconds)

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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 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 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 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 Total Surface Area Formula

Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2)
V = 5*sqrt(2)/3*(TSA/(2*(3+sqrt(3))))^(3/2)

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 Total Surface Area?

Volume of Cuboctahedron given Total Surface Area calculator uses Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2) to calculate the Volume of Cuboctahedron, The Volume of Cuboctahedron given Total Surface Area formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using total surface area of Cuboctahedron. Volume of Cuboctahedron is denoted by V symbol.

How to calculate Volume of Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Volume of Cuboctahedron given Total Surface Area, enter Total Surface Area of Cuboctahedron (TSA) and hit the calculate button. Here is how the Volume of Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 2370.446 = 5*sqrt(2)/3*(950/(2*(3+sqrt(3))))^(3/2).

FAQ

What is Volume of Cuboctahedron given Total Surface Area?

The Volume of Cuboctahedron given Total Surface Area formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using total surface area of Cuboctahedron and is represented as V = 5*sqrt(2)/3*(TSA/(2*(3+sqrt(3))))^(3/2) or Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2). Total Surface Area of Cuboctahedron is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron.

How to calculate Volume of Cuboctahedron given Total Surface Area?

The Volume of Cuboctahedron given Total Surface Area formula is defined as the amount of three-dimensional space enclosed by the surface of the Cuboctahedron, calculated using total surface area of Cuboctahedron is calculated using Volume of Cuboctahedron = 5*sqrt(2)/3*(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))^(3/2). To calculate Volume of Cuboctahedron given Total Surface Area, you need Total Surface Area of Cuboctahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Total Surface Area 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*(Perimeter of Cuboctahedron/24)^3

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