Space Diagonal of Octahedron given Total Surface Area Solution

STEP 0: Pre-Calculation Summary
Formula Used
Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3))
dSpace = sqrt(TSA/sqrt(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
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.
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.
STEP 1: Convert Input(s) to Base Unit
Total Surface Area of Octahedron: 350 Square Meter --> 350 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
dSpace = sqrt(TSA/sqrt(3)) --> sqrt(350/sqrt(3))
Evaluating ... ...
dSpace = 14.2152240297636
STEP 3: Convert Result to Output's Unit
14.2152240297636 Meter --> No Conversion Required
FINAL ANSWER
14.2152240297636 14.21522 Meter <-- Space Diagonal of Octahedron
(Calculation completed in 00.006 seconds)

Credits

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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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Mumbai University (DJSCE), Mumbai
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7 Space Diagonal of Octahedron Calculators

Space Diagonal of Octahedron given Volume
​ Go Space Diagonal of Octahedron = sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3)
Space Diagonal of Octahedron given Total Surface Area
​ Go Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3))
Space Diagonal of Octahedron given Surface to Volume Ratio
​ Go Space Diagonal of Octahedron = (6*sqrt(3))/Surface to Volume Ratio of Octahedron
Space Diagonal of Octahedron given Midsphere Radius
​ Go Space Diagonal of Octahedron = 2*sqrt(2)*Midsphere Radius of Octahedron
Space Diagonal of Octahedron given Insphere Radius
​ Go Space Diagonal of Octahedron = 2*sqrt(3)*Insphere Radius of Octahedron
Space Diagonal of Octahedron
​ Go Space Diagonal of Octahedron = sqrt(2)*Edge Length of Octahedron
Space Diagonal of Octahedron given Circumsphere Radius
​ Go Space Diagonal of Octahedron = 2*Circumsphere Radius of Octahedron

Space Diagonal of Octahedron given Total Surface Area Formula

Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3))
dSpace = sqrt(TSA/sqrt(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 Space Diagonal of Octahedron given Total Surface Area?

Space Diagonal of Octahedron given Total Surface Area calculator uses Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3)) to calculate the Space Diagonal of Octahedron, The Space Diagonal of Octahedron given Total Surface Area formula is defined as the line connecting two vertices that are not on the same face of the Octahedron and is calculated using the total surface area of the Octahedron. Space Diagonal of Octahedron is denoted by dSpace symbol.

How to calculate Space Diagonal of Octahedron given Total Surface Area using this online calculator? To use this online calculator for Space Diagonal of Octahedron given Total Surface Area, enter Total Surface Area of Octahedron (TSA) and hit the calculate button. Here is how the Space Diagonal of Octahedron given Total Surface Area calculation can be explained with given input values -> 14.21522 = sqrt(350/sqrt(3)).

FAQ

What is Space Diagonal of Octahedron given Total Surface Area?
The Space Diagonal of Octahedron given Total Surface Area formula is defined as the line connecting two vertices that are not on the same face of the Octahedron and is calculated using the total surface area of the Octahedron and is represented as dSpace = sqrt(TSA/sqrt(3)) or Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3)). Total Surface Area of Octahedron is the total quantity of plane enclosed by the entire surface of the Octahedron.
How to calculate Space Diagonal of Octahedron given Total Surface Area?
The Space Diagonal of Octahedron given Total Surface Area formula is defined as the line connecting two vertices that are not on the same face of the Octahedron and is calculated using the total surface area of the Octahedron is calculated using Space Diagonal of Octahedron = sqrt(Total Surface Area of Octahedron/sqrt(3)). To calculate Space Diagonal of Octahedron given Total Surface Area, you need Total Surface Area of Octahedron (TSA). With our tool, you need to enter the respective value for Total Surface Area 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 Space Diagonal of Octahedron?
In this formula, Space Diagonal of Octahedron uses Total Surface Area of Octahedron. We can use 6 other way(s) to calculate the same, which is/are as follows -
  • Space Diagonal of Octahedron = sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3)
  • Space Diagonal of Octahedron = sqrt(2)*Edge Length of Octahedron
  • Space Diagonal of Octahedron = 2*sqrt(2)*Midsphere Radius of Octahedron
  • Space Diagonal of Octahedron = 2*sqrt(3)*Insphere Radius of Octahedron
  • Space Diagonal of Octahedron = (6*sqrt(3))/Surface to Volume Ratio of Octahedron
  • Space Diagonal of Octahedron = 2*Circumsphere Radius of Octahedron
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