Surface to Volume Ratio of Octahedron given Volume 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 given Volume [R_A/V]

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Formula

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Surface to Volume Ratio of Octahedron given Volume

Formula

`"R"_{"A/V"} = (3*sqrt(6))/((3*"V")/sqrt(2))^(1/3)`

Example

`"0.735578m⁻¹"=(3*sqrt(6))/((3*"470m³")/sqrt(2))^(1/3)`

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Surface to Volume Ratio of Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Octahedron = (3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3)
R_A/V = (3*sqrt(6))/((3*V)/sqrt(2))^(1/3)
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

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.
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.

STEP 1: Convert Input(s) to Base Unit

Volume of Octahedron: 470 Cubic Meter --> 470 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (3*sqrt(6))/((3*V)/sqrt(2))^(1/3) --> (3*sqrt(6))/((3*470)/sqrt(2))^(1/3)

Evaluating ... ...

R_A/V = 0.735578186230516

STEP 3: Convert Result to Output's Unit

0.735578186230516 1 per Meter --> No Conversion Required

FINAL ANSWER

0.735578186230516 ≈ 0.735578 1 per Meter <-- Surface to Volume Ratio 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 Surface to Volume Ratio of Octahedron Calculators

Surface to Volume Ratio of Octahedron given Total Surface Area

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

Surface to Volume Ratio of Octahedron given Volume

Go Surface to Volume Ratio of Octahedron = (3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3)

Surface to Volume Ratio of Octahedron given Midsphere Radius

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

Surface to Volume Ratio of Octahedron given Circumsphere Radius

Go Surface to Volume Ratio of Octahedron = (3*sqrt(3))/Circumsphere Radius of Octahedron

Surface to Volume Ratio of Octahedron given Space Diagonal

Go Surface to Volume Ratio of Octahedron = (6*sqrt(3))/Space Diagonal of Octahedron

Surface to Volume Ratio of Octahedron

Go Surface to Volume Ratio of Octahedron = (3*sqrt(6))/Edge Length of Octahedron

Surface to Volume Ratio of Octahedron given Insphere Radius

Go Surface to Volume Ratio of Octahedron = 3/Insphere Radius of Octahedron

Surface to Volume Ratio of Octahedron given Volume Formula

Surface to Volume Ratio of Octahedron = (3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3)
R_A/V = (3*sqrt(6))/((3*V)/sqrt(2))^(1/3)

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 Surface to Volume Ratio of Octahedron given Volume?

Surface to Volume Ratio of Octahedron given Volume calculator uses Surface to Volume Ratio of Octahedron = (3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3) to calculate the Surface to Volume Ratio of Octahedron, The Surface to Volume Ratio of Octahedron given Volume formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the volume of the Octahedron. Surface to Volume Ratio of Octahedron is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Octahedron given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Octahedron given Volume, enter Volume of Octahedron (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Octahedron given Volume calculation can be explained with given input values -> 0.735578 = (3*sqrt(6))/((3*470)/sqrt(2))^(1/3).

FAQ

What is Surface to Volume Ratio of Octahedron given Volume?

The Surface to Volume Ratio of Octahedron given Volume formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the volume of the Octahedron and is represented as R_A/V = (3*sqrt(6))/((3*V)/sqrt(2))^(1/3) or Surface to Volume Ratio of Octahedron = (3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3). Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.

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

The Surface to Volume Ratio of Octahedron given Volume formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the volume of the Octahedron is calculated using Surface to Volume Ratio of Octahedron = (3*sqrt(6))/((3*Volume of Octahedron)/sqrt(2))^(1/3). To calculate Surface to Volume Ratio of Octahedron given Volume, you need Volume of Octahedron (V). With our tool, you need to enter the respective value for Volume 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 Surface to Volume Ratio of Octahedron?

In this formula, Surface to Volume Ratio of Octahedron uses Volume of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -

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

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