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Volume of Cuboctahedron given edge length Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (5/3)*sqrt(2)*(Edge length^3)
V = (5/3)*sqrt(2)*(a^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
V = (5/3)*sqrt(2)*(a^3) --> (5/3)*sqrt(2)*(0.5^3)
Evaluating ... ...
V = 0.294627825494395
STEP 3: Convert Result to Output's Unit
0.294627825494395 Cubic Meter --> No Conversion Required
FINAL ANSWER
0.294627825494395 Cubic Meter <-- Volume
(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

Volume of Cuboctahedron given edge length Formula

volume = (5/3)*sqrt(2)*(Edge length^3)
V = (5/3)*sqrt(2)*(a^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 Volume of Cuboctahedron given edge length?

Volume of Cuboctahedron given edge length calculator uses volume = (5/3)*sqrt(2)*(Edge length^3) to calculate the Volume, Volume of Cuboctahedron given edge length formula is defined as V= 5/3 *√2 * a³ where V is volume and a is edge length of cuboctahedron. Volume and is denoted by V symbol.

How to calculate Volume of Cuboctahedron given edge length using this online calculator? To use this online calculator for Volume of Cuboctahedron given edge length, enter Edge length (a) and hit the calculate button. Here is how the Volume of Cuboctahedron given edge length calculation can be explained with given input values -> 0.294628 = (5/3)*sqrt(2)*(0.5^3).

FAQ

What is Volume of Cuboctahedron given edge length?
Volume of Cuboctahedron given edge length formula is defined as V= 5/3 *√2 * a³ where V is volume and a is edge length of cuboctahedron and is represented as V = (5/3)*sqrt(2)*(a^3) or volume = (5/3)*sqrt(2)*(Edge length^3). The Edge length is the length of the edge of the unit cell.
How to calculate Volume of Cuboctahedron given edge length?
Volume of Cuboctahedron given edge length formula is defined as V= 5/3 *√2 * a³ where V is volume and a is edge length of cuboctahedron is calculated using volume = (5/3)*sqrt(2)*(Edge length^3). To calculate Volume 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 Volume?
In this formula, Volume 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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