Total Surface Area of Octahedron given Volume Calculator

✖Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.ⓘ Total Surface Area of Octahedron given Volume [TSA]

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Total Surface Area of Octahedron given Volume

Formula

`"TSA" = 2*sqrt(3)*((3*"V")/sqrt(2))^(2/3)`

Example

`"345.7217m²"=2*sqrt(3)*((3*"470m³")/sqrt(2))^(2/3)`

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Total Surface Area of Octahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

Total Surface Area of Octahedron - (Measured in Square Meter) - Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface 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

TSA = 2*sqrt(3)*((3*V)/sqrt(2))^(2/3) --> 2*sqrt(3)*((3*470)/sqrt(2))^(2/3)

Evaluating ... ...

TSA = 345.721747528342

STEP 3: Convert Result to Output's Unit

345.721747528342 Square Meter --> No Conversion Required

FINAL ANSWER

345.721747528342 ≈ 345.7217 Square Meter <-- Total Surface Area of Octahedron

(Calculation completed in 00.020 seconds)

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Created by Dhruv Walia

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

Dhruv Walia has created this Calculator and 1100+ more calculators!

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Mumbai University (DJSCE), Mumbai

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< 7 Total Surface Area of Octahedron Calculators

Total Surface Area of Octahedron given Volume

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

Total Surface Area of Octahedron given Surface to Volume Ratio

Go Total Surface Area of Octahedron = (108*sqrt(3))/(Surface to Volume Ratio of Octahedron^2)

Total Surface Area of Octahedron given Circumsphere Radius

Go Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Midsphere Radius

Go Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2

Total Surface Area of Octahedron given Insphere Radius

Go Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2

Total Surface Area of Octahedron given Space Diagonal

Go Total Surface Area of Octahedron = sqrt(3)*Space Diagonal of Octahedron^2

Total Surface Area of Octahedron

Go Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2

Total Surface Area of Octahedron given Volume Formula

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

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 Total Surface Area of Octahedron given Volume?

Total Surface Area of Octahedron given Volume calculator uses Total Surface Area of Octahedron = 2*sqrt(3)*((3*Volume of Octahedron)/sqrt(2))^(2/3) to calculate the Total Surface Area of Octahedron, The Total Surface Area of Octahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron and calculated using the volume of the Octahedron. Total Surface Area of Octahedron is denoted by TSA symbol.

How to calculate Total Surface Area of Octahedron given Volume using this online calculator? To use this online calculator for Total Surface Area of Octahedron given Volume, enter Volume of Octahedron (V) and hit the calculate button. Here is how the Total Surface Area of Octahedron given Volume calculation can be explained with given input values -> 345.7217 = 2*sqrt(3)*((3*470)/sqrt(2))^(2/3).

FAQ

What is Total Surface Area of Octahedron given Volume?

The Total Surface Area of Octahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron and calculated using the volume of the Octahedron and is represented as TSA = 2*sqrt(3)*((3*V)/sqrt(2))^(2/3) or Total Surface Area of Octahedron = 2*sqrt(3)*((3*Volume of Octahedron)/sqrt(2))^(2/3). Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.

How to calculate Total Surface Area of Octahedron given Volume?

The Total Surface Area of Octahedron given Volume formula is defined as the total quantity of plane enclosed by the entire surface of the Octahedron and calculated using the volume of the Octahedron is calculated using Total Surface Area of Octahedron = 2*sqrt(3)*((3*Volume of Octahedron)/sqrt(2))^(2/3). To calculate Total Surface Area 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 Total Surface Area of Octahedron?

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

Total Surface Area of Octahedron = 2*sqrt(3)*Edge Length of Octahedron^2
Total Surface Area of Octahedron = 4*sqrt(3)*Circumsphere Radius of Octahedron^2
Total Surface Area of Octahedron = 8*sqrt(3)*Midsphere Radius of Octahedron^2
Total Surface Area of Octahedron = 12*sqrt(3)*Insphere Radius of Octahedron^2
Total Surface Area of Octahedron = sqrt(3)*Space Diagonal of Octahedron^2
Total Surface Area of Octahedron = (108*sqrt(3))/(Surface to Volume Ratio of Octahedron^2)

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