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Surface area of Cuboctahedron given edge length Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area = 2*(Edge length^2)*(3+sqrt(3))
SA = 2*(a^2)*(3+sqrt(3))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Edge length - The Edge length is the length of the edge of the unit cell. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Edge length: 50 Centimeter --> 0.5 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
SA = 2*(a^2)*(3+sqrt(3)) --> 2*(0.5^2)*(3+sqrt(3))
Evaluating ... ...
SA = 2.36602540378444
STEP 3: Convert Result to Output's Unit
2.36602540378444 Square Meter --> No Conversion Required
FINAL ANSWER
2.36602540378444 Square Meter <-- Surface Area
(Calculation completed in 00.000 seconds)

7 Cuboctahedron Calculators

Surface to volume ratio of Cuboctahedron given edge length
surface_to_volume_ratio = (18+6*sqrt(3))/(5*sqrt(2)*Edge length) Go
Edge length of Cuboctahedron given surface area
edge_length = sqrt(Surface Area/(2*(3+sqrt(3)))) Go
Surface area of Cuboctahedron given edge length
surface_area = 2*(Edge length^2)*(3+sqrt(3)) Go
Edge length of Cuboctahedron given volume
edge_length = (Volume/((5/3)*sqrt(2)))^(1/3) Go
Volume of Cuboctahedron given edge length
volume = (5/3)*sqrt(2)*(Edge length^3) Go
Midradius of Cuboctahedron given edge length
midradius = (Edge length/2)*sqrt(3) Go
Circumradius of Cuboctahedron given edge length
circumradius = Edge length Go

Surface area of Cuboctahedron given edge length Formula

surface_area = 2*(Edge length^2)*(3+sqrt(3))
SA = 2*(a^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 Surface area of Cuboctahedron given edge length?

Surface area of Cuboctahedron given edge length calculator uses surface_area = 2*(Edge length^2)*(3+sqrt(3)) to calculate the Surface Area, Surface area of Cuboctahedron given edge length formula is defined as A = 2 * a² * ( 3 + √3 )where A is surface area and a is edge length of cuboctahedron. Surface Area and is denoted by SA symbol.

How to calculate Surface area of Cuboctahedron given edge length using this online calculator? To use this online calculator for Surface area of Cuboctahedron given edge length, enter Edge length (a) and hit the calculate button. Here is how the Surface area of Cuboctahedron given edge length calculation can be explained with given input values -> 2.366025 = 2*(0.5^2)*(3+sqrt(3)).

FAQ

What is Surface area of Cuboctahedron given edge length?
Surface area of Cuboctahedron given edge length formula is defined as A = 2 * a² * ( 3 + √3 )where A is surface area and a is edge length of cuboctahedron and is represented as SA = 2*(a^2)*(3+sqrt(3)) or surface_area = 2*(Edge length^2)*(3+sqrt(3)). The Edge length is the length of the edge of the unit cell.
How to calculate Surface area of Cuboctahedron given edge length?
Surface area of Cuboctahedron given edge length formula is defined as A = 2 * a² * ( 3 + √3 )where A is surface area and a is edge length of cuboctahedron is calculated using surface_area = 2*(Edge length^2)*(3+sqrt(3)). To calculate Surface area of Cuboctahedron given edge length, you need Edge length (a). With our tool, you need to enter the respective value for Edge length 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 Surface Area?
In this formula, Surface Area uses Edge length. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • surface_area = 2*(Edge length^2)*(3+sqrt(3))
  • edge_length = sqrt(Surface Area/(2*(3+sqrt(3))))
  • volume = (5/3)*sqrt(2)*(Edge length^3)
  • edge_length = (Volume/((5/3)*sqrt(2)))^(1/3)
  • circumradius = Edge length
  • midradius = (Edge length/2)*sqrt(3)
  • surface_to_volume_ratio = (18+6*sqrt(3))/(5*sqrt(2)*Edge length)
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