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Edge Length of Octahedron given Space Diagonal Formula

GoEdge Length of Octahedron given Insphere Radius Formula

GoEdge Length of Octahedron given Midsphere Radius Formula

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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. Check FAQs

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

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

Edge Length of Octahedron given Space Diagonal Example

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

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

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

9.8995 = \frac{14}{\sqrt{2}}

9.8995m = \frac{14m}{\sqrt{2}}

9.8995 = \frac{14}{\sqrt{2}}

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Edge Length of Octahedron given Space Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{14m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

l e = \frac{14}{\sqrt{2}}

Next Step Evaluate

∴

l e = 9.89949493661167m

LAST Step Rounding Answer

∴

l e = 9.8995m

Edge Length of Octahedron given Space Diagonal Formula Elements

Variables

Functions

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

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

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 Edge Length of Octahedron

Go Edge Length of Octahedron given Insphere Radius

l e = \sqrt{6} \cdot r i

Go Edge Length of Octahedron given Midsphere Radius

l e = 2 \cdot r m

How to Evaluate Edge Length of Octahedron given Space Diagonal?

Edge Length of Octahedron given Space Diagonal evaluator uses Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2) to evaluate the Edge Length of Octahedron, The Edge Length of Octahedron given Space Diagonal formula is defined as the length of any of edges of the Octahedron or the distance between any pair of adjacent vertices of the Octahedron, and calculated using the space diagonal of the Octahedron. Edge Length of Octahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Octahedron given Space Diagonal

What is the formula to find Edge Length of Octahedron given Space Diagonal?

The formula of Edge Length of Octahedron given Space Diagonal is expressed as Edge Length of Octahedron = Space Diagonal of Octahedron/sqrt(2). Here is an example- 9.899495 = 14/sqrt(2).

How to calculate Edge Length of Octahedron given Space Diagonal?

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

What are the other ways to Calculate Edge Length of Octahedron?

Here are the different ways to Calculate Edge Length of Octahedron-

Edge Length of Octahedron=sqrt(6)*Insphere Radius of Octahedron
Edge Length of Octahedron=2*Midsphere Radius of Octahedron

Can the Edge Length of Octahedron given Space Diagonal be negative?

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

Which unit is used to measure Edge Length of Octahedron given Space Diagonal?

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

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