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

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Edge Length of Cuboctahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
l_e = sqrt(TSA/(2*(3+sqrt(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

Edge Length of Cuboctahedron - (Measured in Meter) - Edge Length of Cuboctahedron is the length of the edge of the unit cell 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

l_e = sqrt(TSA/(2*(3+sqrt(3)))) --> sqrt(950/(2*(3+sqrt(3))))

Evaluating ... ...

l_e = 10.0189476027906

STEP 3: Convert Result to Output's Unit

10.0189476027906 Meter --> No Conversion Required

FINAL ANSWER

10.0189476027906 ≈ 10.01895 Meter <-- Edge Length of Cuboctahedron

(Calculation completed in 00.004 seconds)

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< Edge Length of Cuboctahedron Calculators

Edge Length of Cuboctahedron given Total Surface Area

LaTeX Go Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))

Edge Length of Cuboctahedron given Volume

LaTeX Go Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Edge Length of Cuboctahedron given Midsphere Radius

LaTeX Go Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Circumsphere Radius

LaTeX Go Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron

Edge Length of Cuboctahedron given Total Surface Area Formula

LaTeX Go

Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
l_e = sqrt(TSA/(2*(3+sqrt(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 Edge Length of Cuboctahedron given Total Surface Area?

Edge Length of Cuboctahedron given Total Surface Area calculator uses Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))) to calculate the Edge Length of Cuboctahedron, Edge Length of Cuboctahedron given Total Surface Area formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using total surface area of Cuboctahedron. Edge Length of Cuboctahedron is denoted by l_e symbol.

How to calculate Edge Length of Cuboctahedron given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Cuboctahedron given Total Surface Area, enter Total Surface Area of Cuboctahedron (TSA) and hit the calculate button. Here is how the Edge Length of Cuboctahedron given Total Surface Area calculation can be explained with given input values -> 10.01895 = sqrt(950/(2*(3+sqrt(3)))).

FAQ

What is Edge Length of Cuboctahedron given Total Surface Area?

Edge Length of Cuboctahedron given Total Surface Area formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using total surface area of Cuboctahedron and is represented as l_e = sqrt(TSA/(2*(3+sqrt(3)))) or Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). 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 Edge Length of Cuboctahedron given Total Surface Area?

Edge Length of Cuboctahedron given Total Surface Area formula is defined as the length of the edge of the unit cell of the Cuboctahedron, calculated using total surface area of Cuboctahedron is calculated using Edge Length of Cuboctahedron = sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))). To calculate Edge Length 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 Edge Length of Cuboctahedron?

In this formula, Edge Length of Cuboctahedron uses Total Surface Area of Cuboctahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Cuboctahedron = ((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)
Edge Length of Cuboctahedron = 1*Circumsphere Radius of Cuboctahedron
Edge Length of Cuboctahedron = 2/sqrt(3)*Midsphere Radius of Cuboctahedron

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