Surface to Volume Ratio of Octahedron given Insphere Radius Calculator

✖Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.ⓘ Insphere Radius of Octahedron [r_i]

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✖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 Insphere Radius [R_A/V]

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Surface to Volume Ratio of Octahedron given Insphere Radius Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Octahedron = 3/Insphere Radius of Octahedron
R_A/V = 3/r_i
This formula uses 2 Variables

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.
Insphere Radius of Octahedron - (Measured in Meter) - Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

STEP 1: Convert Input(s) to Base Unit

Insphere Radius of Octahedron: 4 Meter --> 4 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = 3/r_i --> 3/4

Evaluating ... ...

R_A/V = 0.75

STEP 3: Convert Result to Output's Unit

0.75 1 per Meter --> No Conversion Required

FINAL ANSWER

0.75 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

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< Surface to Volume Ratio of Octahedron Calculators

Surface to Volume Ratio of Octahedron given Total Surface Area

LaTeX 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

LaTeX 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

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

Surface to Volume Ratio of Octahedron given Space Diagonal

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

Surface to Volume Ratio of Octahedron given Insphere Radius Formula

LaTeX Go

Surface to Volume Ratio of Octahedron = 3/Insphere Radius of Octahedron
R_A/V = 3/r_i

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 Insphere Radius?

Surface to Volume Ratio of Octahedron given Insphere Radius calculator uses Surface to Volume Ratio of Octahedron = 3/Insphere Radius of Octahedron to calculate the Surface to Volume Ratio of Octahedron, The Surface to Volume Ratio of Octahedron given Insphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the insphere radius 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 Insphere Radius using this online calculator? To use this online calculator for Surface to Volume Ratio of Octahedron given Insphere Radius, enter Insphere Radius of Octahedron (r_i) and hit the calculate button. Here is how the Surface to Volume Ratio of Octahedron given Insphere Radius calculation can be explained with given input values -> 0.75 = 3/4.

FAQ

What is Surface to Volume Ratio of Octahedron given Insphere Radius?

The Surface to Volume Ratio of Octahedron given Insphere Radius formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the insphere radius of the Octahedron and is represented as R_A/V = 3/r_i or Surface to Volume Ratio of Octahedron = 3/Insphere Radius of Octahedron. Insphere Radius of Octahedron is the radius of the sphere that is contained by the Octahedron in such a way that all the faces are just touching the sphere.

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

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

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