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Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio Formula

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

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

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

Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio Example

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

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

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

1303.9154 = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5})}^{3}

1303.9154m³ = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5m⁻¹})}^{3}

1303.9154 = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5})}^{3}

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Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5})}^{3}

Next Step Evaluate

∴

V = 1303.91542224291m³

LAST Step Rounding Answer

∴

V = 1303.9154m³

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

Variables

Functions

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

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

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 Gyroelongated Square Dipyramid

Go Volume of Gyroelongated Square Dipyramid

V = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {l e}^{3}

Go Volume of Gyroelongated Square Dipyramid given Height

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

Go Volume of Gyroelongated Square Dipyramid given Total Surface Area

V = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\sqrt{\frac{SA Total}{4 \cdot \sqrt{3}}})}^{3}

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

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

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

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

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

The formula of Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio is expressed as Volume of Gyroelongated Square Dipyramid = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid))^3. Here is an example- 1303.915 = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*((12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*0.5))^3.

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

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

What are the other ways to Calculate Volume of Gyroelongated Square Dipyramid?

Here are the different ways to Calculate Volume of Gyroelongated Square Dipyramid-

Volume of Gyroelongated Square Dipyramid=(sqrt(2)+sqrt(4+(3*sqrt(2))))/3*Edge Length of Gyroelongated Square Dipyramid^3
Volume of Gyroelongated Square Dipyramid=(sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))^3
Volume of Gyroelongated Square Dipyramid=(sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3))))^3

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

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

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

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

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