FormulaDen.com

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

Volume of Octahedron given Surface to Volume Ratio Formula

GoVolume of Octahedron Formula

GoVolume of Octahedron given Insphere Radius Formula

Fx Copy

LaTeX Copy

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

V = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{R A/V})}^{3}

V - Volume of Octahedron?R_A/V - Surface to Volume Ratio of Octahedron?

Volume of Octahedron given Surface to Volume Ratio Example

With values

With units

Only example

Here is how the Volume of Octahedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Octahedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Octahedron given Surface to Volume Ratio equation looks like.

545.3688 = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{0.7})}^{3}

545.3688m³ = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{0.7m⁻¹})}^{3}

545.3688 = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{0.7})}^{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 Volume of Octahedron given Surface to Volume Ratio

Volume of Octahedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Octahedron given Surface to Volume Ratio?

FIRST Step Consider the formula

V = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{R A/V})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{0.7m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2}}{3} \cdot {(\frac{3 \cdot \sqrt{6}}{0.7})}^{3}

Next Step Evaluate

∴

V = 545.368767397781m³

LAST Step Rounding Answer

∴

V = 545.3688m³

Volume of Octahedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

Surface to Volume Ratio of Octahedron

The Surface to Volume Ratio of Octahedron is the numerical ratio of the total surface area to the volume of the Octahedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Volume of Octahedron

Go Volume of Octahedron

V = \frac{\sqrt{2}}{3} \cdot {l e}^{3}

Go Volume of Octahedron given Insphere Radius

V = 4 \cdot \sqrt{3} \cdot {r i}^{3}

Go Volume of Octahedron given Circumsphere Radius

V = \frac{4 \cdot {r c}^{3}}{3}

Go Volume of Octahedron given Midsphere Radius

V = \frac{\sqrt{2}}{3} \cdot {(2 \cdot r m)}^{3}

How to Evaluate Volume of Octahedron given Surface to Volume Ratio?

Volume of Octahedron given Surface to Volume Ratio evaluator uses Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3 to evaluate the Volume of Octahedron, The Volume of Octahedron given Surface to Volume Ratio formula is defined as the total quantity of three dimensional space enclosed by the surface of the Octahedron and calculated using the surface to volume ratio of the Octahedron. Volume of Octahedron is denoted by V symbol.

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

FAQs on Volume of Octahedron given Surface to Volume Ratio

What is the formula to find Volume of Octahedron given Surface to Volume Ratio?

The formula of Volume of Octahedron given Surface to Volume Ratio is expressed as Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3. Here is an example- 545.3688 = sqrt(2)/3*((3*sqrt(6))/0.7)^3.

How to calculate Volume of Octahedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Octahedron (R_A/V) we can find Volume of Octahedron given Surface to Volume Ratio using the formula - Volume of Octahedron = sqrt(2)/3*((3*sqrt(6))/Surface to Volume Ratio of Octahedron)^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Octahedron?

Here are the different ways to Calculate Volume of Octahedron-

Volume of Octahedron=sqrt(2)/3*Edge Length of Octahedron^3
Volume of Octahedron=4*sqrt(3)*Insphere Radius of Octahedron^3
Volume of Octahedron=(4*Circumsphere Radius of Octahedron^3)/3

Can the Volume of Octahedron given Surface to Volume Ratio be negative?

No, the Volume of Octahedron given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Octahedron given Surface to Volume Ratio?

Volume of Octahedron given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Octahedron given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit