Total Surface Area of Cuboctahedron given Circumsphere Radius Calculator

✖Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.ⓘ Circumsphere Radius of Cuboctahedron [r_c]

+10%

-10%

✖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 given Circumsphere Radius [TSA]

⎘ Copy

👎

Formula

✖

Total Surface Area of Cuboctahedron given Circumsphere Radius

Formula

`"TSA" = 2*(3+sqrt(3))*"r"_{"c"}^2`

Example

`"946.4102m²"=2*(3+sqrt(3))*("10m")^2`

Calculator

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Total Surface Area of Cuboctahedron given Circumsphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2
TSA = 2*(3+sqrt(3))*r_c^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

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.
Circumsphere Radius of Cuboctahedron - (Measured in Meter) - Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

STEP 1: Convert Input(s) to Base Unit

Circumsphere Radius of Cuboctahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(3+sqrt(3))*r_c^2 --> 2*(3+sqrt(3))*10^2

Evaluating ... ...

TSA = 946.410161513775

STEP 3: Convert Result to Output's Unit

946.410161513775 Square Meter --> No Conversion Required

FINAL ANSWER

946.410161513775 ≈ 946.4102 Square Meter <-- Total Surface Area of Cuboctahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Cuboctahedron » Surface Area of Cuboctahedron » Total Surface Area of Cuboctahedron » Total Surface Area of Cuboctahedron given Circumsphere Radius

Credits

Created by Nikhil

Mumbai University (DJSCE), Mumbai

Nikhil has created this Calculator and 400+ more calculators!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 7 Total Surface Area of Cuboctahedron Calculators

Total Surface Area of Cuboctahedron given Surface to Volume Ratio

Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2

Total Surface Area of Cuboctahedron given Lateral Surface Area

Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)

Total Surface Area of Cuboctahedron given Midsphere Radius

Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2

Total Surface Area of Cuboctahedron given Volume

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

Total Surface Area of Cuboctahedron given Circumsphere Radius

Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2

Total Surface Area of Cuboctahedron given Perimeter

Go Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Perimeter of Cuboctahedron^2/576

Total Surface Area of Cuboctahedron

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

Total Surface Area of Cuboctahedron given Circumsphere Radius Formula

Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2
TSA = 2*(3+sqrt(3))*r_c^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 Total Surface Area of Cuboctahedron given Circumsphere Radius?

Total Surface Area of Cuboctahedron given Circumsphere Radius calculator uses Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2 to calculate the Total Surface Area of Cuboctahedron, The Total Surface Area of Cuboctahedron given Circumsphere Radius formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron. Total Surface Area of Cuboctahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Cuboctahedron given Circumsphere Radius using this online calculator? To use this online calculator for Total Surface Area of Cuboctahedron given Circumsphere Radius, enter Circumsphere Radius of Cuboctahedron (r_c) and hit the calculate button. Here is how the Total Surface Area of Cuboctahedron given Circumsphere Radius calculation can be explained with given input values -> 946.4102 = 2*(3+sqrt(3))*10^2.

FAQ

What is Total Surface Area of Cuboctahedron given Circumsphere Radius?

The Total Surface Area of Cuboctahedron given Circumsphere Radius formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron and is represented as TSA = 2*(3+sqrt(3))*r_c^2 or Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2. Circumsphere Radius of Cuboctahedron is the radius of the sphere that contains the Cuboctahedron in such a way that all the vertices are lying on the sphere.

How to calculate Total Surface Area of Cuboctahedron given Circumsphere Radius?

The Total Surface Area of Cuboctahedron given Circumsphere Radius formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using circumsphere radius of Cuboctahedron is calculated using Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Circumsphere Radius of Cuboctahedron^2. To calculate Total Surface Area of Cuboctahedron given Circumsphere Radius, you need Circumsphere Radius of Cuboctahedron (r_c). With our tool, you need to enter the respective value for Circumsphere Radius 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 Total Surface Area of Cuboctahedron?

In this formula, Total Surface Area of Cuboctahedron uses Circumsphere Radius of Cuboctahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Edge Length of Cuboctahedron^2
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Perimeter of Cuboctahedron^2/576

Home

FREE PDFs

🔍 Search