Lateral Surface Area of Cuboctahedron given Midsphere Radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
LSA = ((2*sqrt(3))+4)*(2/sqrt(3)*rm)^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
Lateral Surface Area of Cuboctahedron - (Measured in Meter) - Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.
Midsphere Radius of Cuboctahedron - (Measured in Meter) - Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
STEP 1: Convert Input(s) to Base Unit
Midsphere Radius of Cuboctahedron: 9 Meter --> 9 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
LSA = ((2*sqrt(3))+4)*(2/sqrt(3)*rm)^2 --> ((2*sqrt(3))+4)*(2/sqrt(3)*9)^2
Evaluating ... ...
LSA = 806.122974434878
STEP 3: Convert Result to Output's Unit
806.122974434878 Meter --> No Conversion Required
FINAL ANSWER
806.122974434878 806.123 Meter <-- Lateral Surface Area of Cuboctahedron
(Calculation completed in 00.004 seconds)

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7 Lateral Surface Area of Cuboctahedron Calculators

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

Lateral Surface Area of Cuboctahedron given Midsphere Radius Formula

Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2
LSA = ((2*sqrt(3))+4)*(2/sqrt(3)*rm)^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 Lateral Surface Area of Cuboctahedron given Midsphere Radius?

Lateral Surface Area of Cuboctahedron given Midsphere Radius calculator uses Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2 to calculate the Lateral Surface Area of Cuboctahedron, The Lateral Surface Area of Cuboctahedron given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the midsphere radius of Cuboctahedron. Lateral Surface Area of Cuboctahedron is denoted by LSA symbol.

How to calculate Lateral Surface Area of Cuboctahedron given Midsphere Radius using this online calculator? To use this online calculator for Lateral Surface Area of Cuboctahedron given Midsphere Radius, enter Midsphere Radius of Cuboctahedron (rm) and hit the calculate button. Here is how the Lateral Surface Area of Cuboctahedron given Midsphere Radius calculation can be explained with given input values -> 806.123 = ((2*sqrt(3))+4)*(2/sqrt(3)*9)^2.

FAQ

What is Lateral Surface Area of Cuboctahedron given Midsphere Radius?
The Lateral Surface Area of Cuboctahedron given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the midsphere radius of Cuboctahedron and is represented as LSA = ((2*sqrt(3))+4)*(2/sqrt(3)*rm)^2 or Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2. Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.
How to calculate Lateral Surface Area of Cuboctahedron given Midsphere Radius?
The Lateral Surface Area of Cuboctahedron given Midsphere Radius formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron, calculated using the midsphere radius of Cuboctahedron is calculated using Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*(2/sqrt(3)*Midsphere Radius of Cuboctahedron)^2. To calculate Lateral Surface Area of Cuboctahedron given Midsphere Radius, you need Midsphere Radius of Cuboctahedron (rm). With our tool, you need to enter the respective value for Midsphere 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 Lateral Surface Area of Cuboctahedron?
In this formula, Lateral Surface Area of Cuboctahedron uses Midsphere Radius of Cuboctahedron. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Edge Length of Cuboctahedron^2
  • Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Circumsphere Radius of Cuboctahedron^2
  • Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((18+(6*sqrt(3)))/(5*sqrt(2)*Surface to Volume Ratio of Cuboctahedron))^2
  • Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*Total Surface Area of Cuboctahedron/(2*(3+sqrt(3)))
  • Lateral Surface Area of Cuboctahedron = ((2*sqrt(3))+4)*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(2/3)
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