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Edge length of Cuboctahedron given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
edge_length = sqrt(Surface Area/(2*(3+sqrt(3))))
a = sqrt(SA/(2*(3+sqrt(3))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
a = sqrt(SA/(2*(3+sqrt(3)))) --> sqrt(50/(2*(3+sqrt(3))))
Evaluating ... ...
a = 2.29850421690492
STEP 3: Convert Result to Output's Unit
2.29850421690492 Meter -->229.850421690492 Centimeter (Check conversion here)
FINAL ANSWER
229.850421690492 Centimeter <-- Edge length
(Calculation completed in 00.016 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

Edge length of Cuboctahedron given surface area Formula

edge_length = sqrt(Surface Area/(2*(3+sqrt(3))))
a = sqrt(SA/(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 surface area?

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

How to calculate Edge length of Cuboctahedron given surface area using this online calculator? To use this online calculator for Edge length of Cuboctahedron given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of Cuboctahedron given surface area calculation can be explained with given input values -> 229.8504 = sqrt(50/(2*(3+sqrt(3)))).

FAQ

What is Edge length of Cuboctahedron given surface area?
The Edge length of Cuboctahedron given surface area formula is defined as a=sqrt(A/2*(3+sqrt(3))) where A is surface area and a is edge length of cuboctahedron and is represented as a = sqrt(SA/(2*(3+sqrt(3)))) or edge_length = sqrt(Surface Area/(2*(3+sqrt(3)))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length of Cuboctahedron given surface area?
The Edge length of Cuboctahedron given surface area formula is defined as a=sqrt(A/2*(3+sqrt(3))) where A is surface area and a is edge length of cuboctahedron is calculated using edge_length = sqrt(Surface Area/(2*(3+sqrt(3)))). To calculate Edge length of Cuboctahedron given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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?
In this formula, Edge length uses Surface Area. 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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