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Height of Gyroelongated Square Pyramid given Surface to Volume Ratio 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{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot AV}

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

Height of Gyroelongated Square Pyramid given Surface to Volume Ratio Example

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

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

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

16.0839 = (\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 0.5}

16.0839m = (\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 0.5m⁻¹}

16.0839 = (\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 0.5}

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Height of Gyroelongated Square Pyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.5m⁻¹}

Next Step Prepare to Evaluate

∴

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 0.5}

Next Step Evaluate

∴

h = 16.0839200537251m

LAST Step Rounding Answer

∴

h = 16.0839m

Height of Gyroelongated Square Pyramid given Surface to Volume Ratio 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

SA:V of Gyroelongated Square Pyramid

SA:V of Gyroelongated Square Pyramid is the numerical ratio of the total surface area of the Gyroelongated Square Pyramid to the volume of the Gyroelongated Square Pyramid.

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Volume

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}}

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

Height of Gyroelongated Square Pyramid given Surface to Volume Ratio evaluator uses 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) to evaluate the Height of Gyroelongated Square Pyramid, The Height of Gyroelongated Square Pyramid given Surface to Volume Ratio 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 surface to volume ratio of the Gyroelongated Square Pyramid. Height of Gyroelongated Square Pyramid is denoted by h symbol.

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

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

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

The formula of Height of Gyroelongated Square Pyramid given Surface to Volume Ratio is expressed as 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). Here is an example- 16.08392 = (sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))*(1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*0.5).

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

With SA:V of Gyroelongated Square Pyramid (AV) we can find Height of Gyroelongated Square Pyramid given Surface to Volume Ratio using the formula - 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). This formula also uses Square Root (sqrt) 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))*((3*Volume of Gyroelongated Square Pyramid)/(sqrt(4+(3*sqrt(2)))+1/sqrt(2)))^(1/3)

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

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

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

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

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