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Height of Gyroelongated Square Pyramid given Volume Formula

GoHeight of Gyroelongated Square Pyramid Formula

GoHeight of Gyroelongated Square Pyramid given Total Surface Area Formula

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

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

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

Height of Gyroelongated Square Pyramid given Volume Example

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

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

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

15.5115 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}

15.5115m = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}) \cdot {(\frac{3 \cdot 1200m³}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}

15.5115 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}) \cdot {(\frac{3 \cdot 1200}{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}})}^{\frac{1}{3}}

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Height of Gyroelongated Square Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

h = 15.5115402184086m

LAST Step Rounding Answer

∴

h = 15.5115m

Height of Gyroelongated Square Pyramid given Volume Formula Elements

Variables

Functions

Height of Gyroelongated Square Pyramid

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

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Height of Gyroelongated Square Pyramid

Go Height of Gyroelongated Square Pyramid

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

Go Height of Gyroelongated Square Pyramid given Total Surface Area

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

Go Height of Gyroelongated Square Pyramid given Surface to Volume Ratio

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

How to Evaluate Height of Gyroelongated Square Pyramid given Volume?

Height of Gyroelongated Square Pyramid given Volume evaluator uses Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3) to evaluate the Height of Gyroelongated Square Pyramid, The Height of Gyroelongated Square Pyramid given Volume formula is defined as the vertical distance from the highest point to the lowest point of the Gyroelongated Square Pyramid and is calculated using the volume of the Gyroelongated Square Pyramid. Height of Gyroelongated Square Pyramid is denoted by h symbol.

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

FAQs on Height of Gyroelongated Square Pyramid given Volume

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

The formula of Height of Gyroelongated Square Pyramid given Volume is expressed as Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3). Here is an example- 15.51154 = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*((3*1200)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3).

How to calculate Height of Gyroelongated Square Pyramid given Volume?

With Volume of Gyroelongated Square Pyramid (V) we can find Height of Gyroelongated Square Pyramid given Volume using the formula - Height of Gyroelongated Square Pyramid = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3). This formula also uses Square Root Function function(s).

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

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

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

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

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

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

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

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