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Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume Formula

GoSurface to Volume Ratio of Gyroelongated Square Dipyramid Formula

GoSurface to Volume Ratio of Gyroelongated Square Dipyramid given Height Formula

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SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid. Check FAQs

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot V}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

AV - SA:V of Gyroelongated Square Dipyramid?V - Volume of Gyroelongated Square Dipyramid?

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume Example

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

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

Here is how the Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume equation looks like.

0.4883 = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot 1400}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

0.4883m⁻¹ = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot 1400m³}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

0.4883 = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot 1400}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

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Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume?

FIRST Step Consider the formula

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot V}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

Next Step Substitute values of Variables

∴

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot 1400m³}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot {(\frac{3 \cdot 1400}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}}

Next Step Evaluate

∴

AV = 0.488289216274052m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4883m⁻¹

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume Formula Elements

Variables

Functions

SA:V of Gyroelongated Square Dipyramid

SA:V of Gyroelongated Square Dipyramid is the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Gyroelongated Square Dipyramid

Volume of Gyroelongated Square Dipyramid

Volume of Gyroelongated Square Dipyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Gyroelongated Square Dipyramid

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 SA:V of Gyroelongated Square Dipyramid

Go Surface to Volume Ratio of Gyroelongated Square Dipyramid

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot l e}

Go Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \frac{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

Go Surface to Volume Ratio of Gyroelongated Square Dipyramid given Total Surface Area

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \sqrt{\frac{SA Total}{4 \cdot \sqrt{3}}}}

How to Evaluate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume?

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume evaluator uses SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)) to evaluate the SA:V of Gyroelongated Square Dipyramid, The Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Dipyramid to the volume of the Gyroelongated Square Dipyramid and is calculated using the volume of the Gyroelongated Square Dipyramid. SA:V of Gyroelongated Square Dipyramid is denoted by AV symbol.

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

FAQs on Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume

What is the formula to find Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume?

The formula of Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume is expressed as SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)). Here is an example- 0.488289 = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*((3*1400)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)).

How to calculate Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume?

With Volume of Gyroelongated Square Dipyramid (V) we can find Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume using the formula - SA:V of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate SA:V of Gyroelongated Square Dipyramid?

Here are the different ways to Calculate SA:V of Gyroelongated Square Dipyramid-

SA:V of Gyroelongated Square Dipyramid=(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Edge Length of Gyroelongated Square Dipyramid)
SA:V of Gyroelongated Square Dipyramid=(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))
SA:V of Gyroelongated Square Dipyramid=(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))

Can the Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume be negative?

No, the Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume?

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume can be measured.

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