Volume of Octahedron given Surface to Volume Ratio Calculator

✖The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.ⓘ Surface to Volume Ratio of Octahedron [R_A/V]

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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 given Surface to Volume Ratio [V]

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Formula

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Volume of Octahedron given Surface to Volume Ratio

Formula

`"V" = sqrt(2)/3*((3*sqrt(6))/"R"_{"A/V"})^3`

Example

`"545.3688m³"=sqrt(2)/3*((3*sqrt(6))/"0.7m⁻¹")^3`

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Volume of Octahedron given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3
V = sqrt(2)/3*((3*sqrt(6))/R_A/V)^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.
Surface to Volume Ratio of Octahedron - (Measured in 1 per Meter) - The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Octahedron: 0.7 1 per Meter --> 0.7 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = sqrt(2)/3*((3*sqrt(6))/R_A/V)^3 --> sqrt(2)/3*((3*sqrt(6))/0.7)^3

Evaluating ... ...

V = 545.368767397781

STEP 3: Convert Result to Output's Unit

545.368767397781 Cubic Meter --> No Conversion Required

FINAL ANSWER

545.368767397781 ≈ 545.3688 Cubic Meter <-- Volume of Octahedron

(Calculation completed in 00.004 seconds)

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Created by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

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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)

Volume of Octahedron given Surface to Volume Ratio Formula

Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3
V = sqrt(2)/3*((3*sqrt(6))/R_A/V)^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 given Surface to Volume Ratio?

Volume of Octahedron given Surface to Volume Ratio calculator uses Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3 to calculate the Volume of Octahedron, The Volume of Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and calculated using the surface to volume ratio of the Octahedron. Volume of Octahedron is denoted by V symbol.

How to calculate Volume of Octahedron given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume of Octahedron given Surface to Volume Ratio, enter Surface to Volume Ratio of Octahedron (R_A/V) and hit the calculate button. Here is how the Volume of Octahedron given Surface to Volume Ratio calculation can be explained with given input values -> 545.3688 = sqrt(2)/3*((3*sqrt(6))/0.7)^3.

FAQ

What is Volume of Octahedron given Surface to Volume Ratio?

The Volume of Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and calculated using the surface to volume ratio of the Octahedron and is represented as V = sqrt(2)/3*((3*sqrt(6))/R_A/V)^3 or Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3. The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.

How to calculate Volume of Octahedron given Surface to Volume Ratio?

The Volume of Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and calculated using the surface to volume ratio of the Octahedron is calculated using Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3. To calculate Volume of Octahedron given Surface to Volume Ratio, you need Surface to Volume Ratio of Octahedron (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Surface to Volume Ratio of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

Volume of Octahedron = sqrt(2)/3*Edge Length of Octahedron^3
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*(sqrt(Total Surface Area of Octahedron/(2*sqrt(3))))^3
Volume of Octahedron = (Space Diagonal of Octahedron^3)/(6)

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