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Height of Gyroelongated Square Dipyramid given Volume Formula

GoHeight of Gyroelongated Square Dipyramid Formula

GoHeight of Gyroelongated Square Dipyramid given Total Surface Area Formula

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

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

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

Height of Gyroelongated Square Dipyramid given Volume Example

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

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

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

22.4006 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot {(\frac{3 \cdot 1400}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}

22.4006m = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot {(\frac{3 \cdot 1400m³}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}

22.4006 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot {(\frac{3 \cdot 1400}{\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}})}^{\frac{1}{3}}

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Height of Gyroelongated Square Dipyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 22.400618077274m

LAST Step Rounding Answer

∴

h = 22.4006m

Height of Gyroelongated Square Dipyramid given Volume Formula Elements

Variables

Functions

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

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 Height of Gyroelongated Square Dipyramid

Go Height of Gyroelongated Square Dipyramid

h = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot l e

Go Height of Gyroelongated Square Dipyramid given Total Surface Area

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

Go Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio

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

How to Evaluate Height of Gyroelongated Square Dipyramid given Volume?

Height of Gyroelongated Square Dipyramid given Volume evaluator uses 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)))))^(1/3) to evaluate the Height of Gyroelongated Square Dipyramid, The Height of Gyroelongated Square Dipyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Square Dipyramid and is calculated using the volume of the Gyroelongated Square Dipyramid. Height of Gyroelongated Square Dipyramid is denoted by h symbol.

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

FAQs on Height of Gyroelongated Square Dipyramid given Volume

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

The formula of Height of Gyroelongated Square Dipyramid given Volume is expressed as 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)))))^(1/3). Here is an example- 22.40062 = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*((3*1400)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3).

How to calculate Height of Gyroelongated Square Dipyramid given Volume?

With Volume of Gyroelongated Square Dipyramid (V) we can find Height of Gyroelongated Square Dipyramid given Volume using the formula - 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)))))^(1/3). This formula also uses Square Root (sqrt) function(s).

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

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

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

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

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

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

Height of Gyroelongated Square Dipyramid given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Gyroelongated Square Dipyramid given Volume can be measured.

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