Volume of Octahedron Calculator

✖Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.ⓘ Edge Length of Octahedron [l_e]

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✖Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.ⓘ Volume of Octahedron [V]

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Formula

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Volume of Octahedron

Formula

`"V" = sqrt(2)/3*"l"_{"e"}^3`

Example

`"471.4045m³"=sqrt(2)/3*("10m")^3`

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Volume of Octahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3
V = sqrt(2)/3*l_e^3
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

Volume of Octahedron - (Measured in Cubic Meter) - Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.
Edge Length of Octahedron - (Measured in Meter) - Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Octahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(2)/3*l_e^3 --> sqrt(2)/3*10^3

Evaluating ... ...

V = 471.404520791032

STEP 3: Convert Result to Output's Unit

471.404520791032 Cubic Meter --> No Conversion Required

FINAL ANSWER

471.404520791032 ≈ 471.4045 Cubic Meter <-- Volume of Octahedron

(Calculation completed in 00.004 seconds)

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Created by Anshika Arya

National Institute Of Technology (NIT), Hamirpur

Anshika Arya has created this Calculator and 2000+ more calculators!

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< 7 Volume of Octahedron Calculators

Volume of Octahedron given Total Surface Area

Go Volume of Octahedron = sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3

Volume of Octahedron given Surface to Volume Ratio

Go Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3

Volume of Octahedron given Midsphere Radius

Go Volume of Octahedron = sqrt(2)/3*(2*Midsphere Radius of Octahedron)^3

Volume of Octahedron given Insphere Radius

Go Volume of Octahedron = 4*sqrt(3)*Insphere Radius of Octahedron^3

Volume of Octahedron

Go Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3

Volume of Octahedron given Circumsphere Radius

Go Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3

Volume of Octahedron given Space Diagonal

Go Volume of Octahedron = (Space Diagonal of Octahedron^3)/(6)

< 4 Volume of Octahedron Calculators

Volume of Octahedron given Total Surface Area

Go Volume of Octahedron = sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3

Volume of Octahedron given Insphere Radius

Go Volume of Octahedron = 4*sqrt(3)*Insphere Radius of Octahedron^3

Volume of Octahedron

Go Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3

Volume of Octahedron given Circumsphere Radius

Go Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3

Volume of Octahedron Formula

Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3
V = sqrt(2)/3*l_e^3

What is an Octahedron?

An Octahedron is a symmetric and closed three dimensional shape with 8 identical equilateral triangular faces. It is a Platonic solid, which has 8 faces, 6 vertices and 12 edges. At each vertex, four equilateral triangular faces meet and at each edge, two equilateral triangular faces meet.

What are Platonic Solids?

In three-dimensional space, a Platonic solid is a regular, convex polyhedron. It is constructed by congruent (identical in shape and size), regular (all angles equal and all sides equal), polygonal faces with the same number of faces meeting at each vertex. Five solids who meet this criteria are Tetrahedron {3,3} , Cube {4,3} , Octahedron {3,4} , Dodecahedron {5,3} , Icosahedron {3,5} ; where in {p, q}, p represents the number of edges in a face and q represents the number of edges meeting at a vertex; {p, q} is the Schläfli symbol.

How to Calculate Volume of Octahedron?

Volume of Octahedron calculator uses Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3 to calculate the Volume of Octahedron, Volume of Octahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron. Volume of Octahedron is denoted by V symbol.

How to calculate Volume of Octahedron using this online calculator? To use this online calculator for Volume of Octahedron, enter Edge Length of Octahedron (l_e) and hit the calculate button. Here is how the Volume of Octahedron calculation can be explained with given input values -> 471.4045 = sqrt(2)/3*10^3.

FAQ

What is Volume of Octahedron?

Volume of Octahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and is represented as V = sqrt(2)/3*l_e^3 or Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3. Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

How to calculate Volume of Octahedron?

Volume of Octahedron formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron is calculated using Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3. To calculate Volume of Octahedron, you need Edge Length of Octahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Octahedron 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 of Octahedron?

In this formula, Volume of Octahedron uses Edge Length of Octahedron. We can use 9 other way(s) to calculate the same, which is/are as follows -

Volume of Octahedron = 4*sqrt(3)*Insphere Radius of Octahedron^3
Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3
Volume of Octahedron = sqrt(2)/3*(2*Midsphere Radius of Octahedron)^3
Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3
Volume of Octahedron = sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3
Volume of Octahedron = (Space Diagonal of Octahedron^3)/(6)
Volume of Octahedron = (4*Circumsphere Radius of Octahedron^3)/3
Volume of Octahedron = 4*sqrt(3)*Insphere Radius of Octahedron^3
Volume of Octahedron = sqrt(2)/3*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3

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