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Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height Formula

GoSurface to Volume Ratio of Gyroelongated Square Dipyramid Formula

GoSurface to Volume Ratio of Gyroelongated Square Dipyramid given Total Surface Area 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{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

AV - SA:V of Gyroelongated Square Dipyramid?h - Height of Gyroelongated Square Dipyramid?

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height Example

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

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

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

0.4972 = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

0.4972m⁻¹ = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \frac{22m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

0.4972 = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

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Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height Solution

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

FIRST Step Consider the formula

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}}}

Next Step Substitute values of Variables

∴

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \frac{22m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

Next Step Prepare to Evaluate

∴

AV = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot \frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}}

Next Step Evaluate

∴

AV = 0.497180920227566m⁻¹

LAST Step Rounding Answer

∴

AV = 0.4972m⁻¹

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height 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

Height of Gyroelongated Square Dipyramid

Height of Gyroelongated Square Dipyramid is the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 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}}}}

Go Surface to Volume Ratio of Gyroelongated Square Dipyramid given Volume

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}}}

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

Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height evaluator uses 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))) to evaluate the SA:V of Gyroelongated Square Dipyramid, The Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height 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 height 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 Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height, enter Height of Gyroelongated Square Dipyramid (h) and hit the calculate button.

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

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

The formula of Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height is expressed as 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))). Here is an example- 0.497181 = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*22/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))).

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

With Height of Gyroelongated Square Dipyramid (h) we can find Surface to Volume Ratio of Gyroelongated Square Dipyramid given Height using the formula - 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))). 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))))*sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))
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))

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

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

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

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

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