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Volume of Gyroelongated Square Dipyramid given Height Formula

GoVolume of Gyroelongated Square Dipyramid Formula

GoVolume of Gyroelongated Square Dipyramid given Total Surface Area 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{h}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}})}^{3}

V - Volume of Gyroelongated Square Dipyramid?h - Height of Gyroelongated Square Dipyramid?

Volume of Gyroelongated Square Dipyramid given Height Example

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

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

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

1326.2215 = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}})}^{3}

1326.2215m³ = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{22m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}})}^{3}

1326.2215 = \frac{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}}{3} \cdot {(\frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}})}^{3}

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Volume of Gyroelongated Square Dipyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 1326.22152850696m³

LAST Step Rounding Answer

∴

V = 1326.2215m³

Volume of Gyroelongated Square Dipyramid given Height Formula Elements

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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

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 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 Total Surface Area

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

Go Volume of Gyroelongated Square Dipyramid given Surface to Volume Ratio

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}

How to Evaluate Volume of Gyroelongated Square Dipyramid given Height?

Volume of Gyroelongated Square Dipyramid given Height evaluator uses 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 to evaluate the Volume of Gyroelongated Square Dipyramid, The Volume of Gyroelongated Square Dipyramid given Height 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 height of the Gyroelongated Square Dipyramid. Volume of Gyroelongated Square Dipyramid is denoted by V symbol.

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

FAQs on Volume of Gyroelongated Square Dipyramid given Height

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

The formula of Volume of Gyroelongated Square Dipyramid given Height is expressed as 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. Here is an example- 1326.222 = (sqrt(2)+sqrt(4+(3*sqrt(2))))/3*(22/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)))^3.

How to calculate Volume of Gyroelongated Square Dipyramid given Height?

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

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

No, the Volume of Gyroelongated Square Dipyramid given Height, measured in Volume cannot be negative.

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

Volume of Gyroelongated Square Dipyramid given Height 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 Height can be measured.

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