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Space Diagonal of Octahedron Formula

GoSpace Diagonal of Octahedron given Insphere Radius Formula

GoSpace Diagonal of Octahedron given Midsphere Radius Formula

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The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron. Check FAQs

d Space = \sqrt{2} \cdot l e

d_Space - Space Diagonal of Octahedron?l_e - Edge Length of Octahedron?

Space Diagonal of Octahedron Example

With values

With units

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Here is how the Space Diagonal of Octahedron equation looks like with Values.

Here is how the Space Diagonal of Octahedron equation looks like with Units.

Here is how the Space Diagonal of Octahedron equation looks like.

14.1421 = \sqrt{2} \cdot 10

14.1421m = \sqrt{2} \cdot 10m

14.1421 = \sqrt{2} \cdot 10

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Space Diagonal of Octahedron Solution

Follow our step by step solution on how to calculate Space Diagonal of Octahedron?

FIRST Step Consider the formula

d Space = \sqrt{2} \cdot l e

Next Step Substitute values of Variables

∴

d Space = \sqrt{2} \cdot 10m

Next Step Prepare to Evaluate

∴

d Space = \sqrt{2} \cdot 10

Next Step Evaluate

∴

d Space = 14.142135623731m

LAST Step Rounding Answer

∴

d Space = 14.1421m

Space Diagonal of Octahedron Formula Elements

Variables

Functions

Space Diagonal of Octahedron

The Space Diagonal of Octahedron is the line connecting two vertices that are not on the same face of Octahedron.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Octahedron

Edge Length of Octahedron

Edge Length of Octahedron is the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Octahedron

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.

Syntax: sqrt(Number)

Other Formulas to find Space Diagonal of Octahedron

Go Space Diagonal of Octahedron given Insphere Radius

d Space = 2 \cdot \sqrt{3} \cdot r i

Go Space Diagonal of Octahedron given Midsphere Radius

d Space = 2 \cdot \sqrt{2} \cdot r m

Go Space Diagonal of Octahedron given Volume

d Space = \sqrt{2} \cdot {(\frac{3 \cdot V}{\sqrt{2}})}^{\frac{1}{3}}

How to Evaluate Space Diagonal of Octahedron?

Space Diagonal of Octahedron evaluator uses Space Diagonal of Octahedron = sqrt(2)*Edge Length of Octahedron to evaluate the Space Diagonal of Octahedron, The Space Diagonal of Octahedron formula is defined as the line connecting two vertices that are not on the same face of the Octahedron. Space Diagonal of Octahedron is denoted by d_Space symbol.

How to evaluate Space Diagonal of Octahedron using this online evaluator? To use this online evaluator for Space Diagonal of Octahedron, enter Edge Length of Octahedron (l_e) and hit the calculate button.

FAQs on Space Diagonal of Octahedron

What is the formula to find Space Diagonal of Octahedron?

The formula of Space Diagonal of Octahedron is expressed as Space Diagonal of Octahedron = sqrt(2)*Edge Length of Octahedron. Here is an example- 14.14214 = sqrt(2)*10.

How to calculate Space Diagonal of Octahedron?

With Edge Length of Octahedron (l_e) we can find Space Diagonal of Octahedron using the formula - Space Diagonal of Octahedron = sqrt(2)*Edge Length of Octahedron. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Space Diagonal of Octahedron?

Here are the different ways to Calculate Space Diagonal of Octahedron-

Space Diagonal of Octahedron=2*sqrt(3)*Insphere Radius of Octahedron
Space Diagonal of Octahedron=2*sqrt(2)*Midsphere Radius of Octahedron
Space Diagonal of Octahedron=sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3)

Can the Space Diagonal of Octahedron be negative?

No, the Space Diagonal of Octahedron, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Octahedron?

Space Diagonal of Octahedron is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Octahedron can be measured.

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