Surface to Volume Ratio of Octahedron given Space Diagonal Calculator

✖The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.ⓘ Space Diagonal of Octahedron [d_Space]

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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 Space Diagonal [R_A/V]

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Surface to Volume Ratio of Octahedron given Space Diagonal Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Octahedron = (6*sqrt(3))/Space Diagonal of Octahedron
R_A/V = (6*sqrt(3))/d_Space
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.
Space Diagonal of Octahedron - (Measured in Meter) - The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.

STEP 1: Convert Input(s) to Base Unit

Space Diagonal of Octahedron: 14 Meter --> 14 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = (6*sqrt(3))/d_Space --> (6*sqrt(3))/14

Evaluating ... ...

R_A/V = 0.74230748895809

STEP 3: Convert Result to Output's Unit

0.74230748895809 1 per Meter --> No Conversion Required

FINAL ANSWER

0.74230748895809 ≈ 0.742307 1 per Meter <-- Surface to Volume Ratio of Octahedron

(Calculation completed in 00.004 seconds)

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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 Space Diagonal Formula

LaTeX Go

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

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 Space Diagonal?

Surface to Volume Ratio of Octahedron given Space Diagonal calculator uses Surface to Volume Ratio of Octahedron = (6*sqrt(3))/Space Diagonal of Octahedron to calculate the Surface to Volume Ratio of Octahedron, The Surface to Volume Ratio of Octahedron given Space Diagonal formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the space diagonal 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 Space Diagonal using this online calculator? To use this online calculator for Surface to Volume Ratio of Octahedron given Space Diagonal, enter Space Diagonal of Octahedron (d_Space) and hit the calculate button. Here is how the Surface to Volume Ratio of Octahedron given Space Diagonal calculation can be explained with given input values -> 0.742307 = (6*sqrt(3))/14.

FAQ

What is Surface to Volume Ratio of Octahedron given Space Diagonal?

The Surface to Volume Ratio of Octahedron given Space Diagonal formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the space diagonal of the Octahedron and is represented as R_A/V = (6*sqrt(3))/d_Space or Surface to Volume Ratio of Octahedron = (6*sqrt(3))/Space Diagonal of Octahedron. The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.

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

The Surface to Volume Ratio of Octahedron given Space Diagonal formula is defined as the numerical ratio of the total surface area to the volume of the Octahedron and is calculated using the space diagonal of the Octahedron is calculated using Surface to Volume Ratio of Octahedron = (6*sqrt(3))/Space Diagonal of Octahedron. To calculate Surface to Volume Ratio of Octahedron given Space Diagonal, you need Space Diagonal of Octahedron (d_Space). With our tool, you need to enter the respective value for Space Diagonal 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 Space Diagonal of Octahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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

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