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Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume Formula

GoSurface to Volume Ratio of Gyroelongated Square Pyramid Formula

GoSurface to Volume Ratio of Gyroelongated Square Pyramid given Height Formula

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

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

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

Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume Example

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

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

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

0.5185 = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}}

0.5185m⁻¹ = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot {(\frac{3 \cdot 1200m³}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}}

0.5185 = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}}

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Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot {(\frac{3 \cdot 1200m³}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}}

Next Step Prepare to Evaluate

∴

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}}

Next Step Evaluate

∴

AV = 0.518450128976785m⁻¹

LAST Step Rounding Answer

∴

AV = 0.5185m⁻¹

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

Variables

Functions

SA:V of Gyroelongated Square Pyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V of Gyroelongated Square Pyramid

Volume of Gyroelongated Square Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Gyroelongated Square Pyramid

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 Pyramid

Go Surface to Volume Ratio of Gyroelongated Square Pyramid

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot l e}

Go Surface to Volume Ratio of Gyroelongated Square Pyramid given Height

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

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

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot \sqrt{\frac{SA Total}{1 + (3 \cdot \sqrt{3})}}}

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

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

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

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

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

The formula of Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume is expressed as SA:V of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3)). Here is an example- 0.51845 = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*((3*1200)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3)).

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

With Volume of Gyroelongated Square Pyramid (V) we can find Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume using the formula - SA:V of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/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 Pyramid?

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

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

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

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

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

Surface to Volume Ratio of Gyroelongated Square Pyramid 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 Pyramid given Volume can be measured.

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