Total Surface Area of Cuboctahedron given Perimeter Solution

STEP 0: Pre-Calculation Summary
Formula Used
Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Perimeter of Cuboctahedron^2/576
TSA = 2*(3+sqrt(3))*P^2/576
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.
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
TSA = 2*(3+sqrt(3))*P^2/576 --> 2*(3+sqrt(3))*240^2/576
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 00.020 seconds)

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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 Perimeter Formula

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

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 Perimeter?

Total Surface Area of Cuboctahedron given Perimeter calculator uses Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Perimeter of Cuboctahedron^2/576 to calculate the Total Surface Area of Cuboctahedron, The Total Surface Area of Cuboctahedron given Perimeter formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using the perimeter of Cuboctahedron. Total Surface Area of Cuboctahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Cuboctahedron given Perimeter using this online calculator? To use this online calculator for Total Surface Area of Cuboctahedron given Perimeter, enter Perimeter of Cuboctahedron (P) and hit the calculate button. Here is how the Total Surface Area of Cuboctahedron given Perimeter calculation can be explained with given input values -> 946.4102 = 2*(3+sqrt(3))*240^2/576.

FAQ

What is Total Surface Area of Cuboctahedron given Perimeter?
The Total Surface Area of Cuboctahedron given Perimeter formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using the perimeter of Cuboctahedron and is represented as TSA = 2*(3+sqrt(3))*P^2/576 or Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Perimeter of Cuboctahedron^2/576. Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.
How to calculate Total Surface Area of Cuboctahedron given Perimeter?
The Total Surface Area of Cuboctahedron given Perimeter formula is defined as the measure of the total amount of two-dimensional space enclosed by all the faces of the Cuboctahedron, calculated using the perimeter of Cuboctahedron is calculated using Total Surface Area of Cuboctahedron = 2*(3+sqrt(3))*Perimeter of Cuboctahedron^2/576. To calculate Total Surface Area 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 Total Surface Area of Cuboctahedron?
In this formula, Total Surface Area of Cuboctahedron uses Perimeter 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))*Circumsphere Radius 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)
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