FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Space Diagonal of Octahedron given Volume Formula

GoSpace Diagonal of Octahedron Formula

GoSpace Diagonal of Octahedron given Insphere Radius Formula

Fx Copy

LaTeX Copy

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

d_Space - Space Diagonal of Octahedron?V - Volume of Octahedron?

Space Diagonal of Octahedron given Volume Example

With values

With units

Only example

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

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

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

14.1281 = \sqrt{2} \cdot {(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}

14.1281m = \sqrt{2} \cdot {(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}

14.1281 = \sqrt{2} \cdot {(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Space Diagonal of Octahedron given Volume

Space Diagonal of Octahedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

d Space = \sqrt{2} \cdot {(\frac{3 \cdot 470m³}{\sqrt{2}})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{2} \cdot {(\frac{3 \cdot 470}{\sqrt{2}})}^{\frac{1}{3}}

Next Step Evaluate

∴

d Space = 14.1280764437412m

LAST Step Rounding Answer

∴

d Space = 14.1281m

Space Diagonal of Octahedron given Volume 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

Volume of Octahedron

Volume of Octahedron is the total quantity of three dimensional space enclosed by the entire surface of the Octahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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

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

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

How to Evaluate Space Diagonal of Octahedron given Volume?

Space Diagonal of Octahedron given Volume evaluator uses Space Diagonal of Octahedron = sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3) to evaluate the Space Diagonal of Octahedron, The Space Diagonal of Octahedron given Volume formula is defined as the line connecting two vertices that are not on the same face of the Octahedron and is calculated using the volume of the Octahedron. Space Diagonal of Octahedron is denoted by d_Space symbol.

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

FAQs on Space Diagonal of Octahedron given Volume

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

The formula of Space Diagonal of Octahedron given Volume is expressed as Space Diagonal of Octahedron = sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3). Here is an example- 14.12808 = sqrt(2)*((3*470)/sqrt(2))^(1/3).

How to calculate Space Diagonal of Octahedron given Volume?

With Volume of Octahedron (V) we can find Space Diagonal of Octahedron given Volume using the formula - Space Diagonal of Octahedron = sqrt(2)*((3*Volume of Octahedron)/sqrt(2))^(1/3). 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=sqrt(2)*Edge Length of Octahedron
Space Diagonal of Octahedron=2*sqrt(3)*Insphere Radius of Octahedron
Space Diagonal of Octahedron=2*sqrt(2)*Midsphere Radius of Octahedron

Can the Space Diagonal of Octahedron given Volume be negative?

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

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

Space Diagonal of Octahedron given Volume 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 given Volume can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit