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Surface to Volume Ratio of Gyroelongated Square Pyramid given Height Formula

GoSurface to Volume Ratio of Gyroelongated Square Pyramid Formula

GoSurface to Volume Ratio of Gyroelongated Square Pyramid given Total Surface Area Formula

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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. Check FAQs

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

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

Surface to Volume Ratio of Gyroelongated Square Pyramid given Height Example

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

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

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

0.5361 = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot \frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}}

0.5361m⁻¹ = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot \frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}}

0.5361 = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot \frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}}

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Surface to Volume Ratio of Gyroelongated Square Pyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot \frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}}

Next Step Prepare to Evaluate

∴

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot \frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}}

Next Step Evaluate

∴

AV = 0.536130668457503m⁻¹

LAST Step Rounding Answer

∴

AV = 0.5361m⁻¹

Surface to Volume Ratio of Gyroelongated Square Pyramid given Height Formula Elements

Variables

Functions

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

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

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 SA:V of Gyroelongated Square Pyramid

Go Surface to Volume Ratio of Gyroelongated Square Pyramid

AV = \frac{1 + (3 \cdot \sqrt{3})}{(\frac{\sqrt{4 + (3 \cdot \sqrt{2})} + \frac{1}{\sqrt{2}}}{3}) \cdot l e}

Go Surface to Volume Ratio of Gyroelongated Square Pyramid given Total Surface Area

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

Go Surface to Volume Ratio of Gyroelongated Square Pyramid given Volume

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

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

Surface to Volume Ratio of Gyroelongated Square Pyramid given Height evaluator uses SA:V of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))) to evaluate the SA:V of Gyroelongated Square Pyramid, The Surface to Volume Ratio of Gyroelongated Square Pyramid given Height formula is defined as the numerical ratio of the total surface area of the Gyroelongated Square Pyramid to the volume of the Gyroelongated Square Pyramid and is calculated using the height of the Gyroelongated Square Pyramid. SA:V of Gyroelongated Square Pyramid is denoted by AV symbol.

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

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

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

The formula of Surface to Volume Ratio of Gyroelongated Square Pyramid given Height is expressed as SA:V of Gyroelongated Square Pyramid = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))). Here is an example- 0.536131 = (1+(3*sqrt(3)))/(((sqrt(4+(3*sqrt(2)))+1/sqrt(2))/3)*15/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2))).

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

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

What are the other ways to Calculate SA:V of Gyroelongated Square Pyramid?

Here are the different ways to Calculate SA:V of Gyroelongated Square Pyramid-

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

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

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

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

Surface to Volume Ratio of Gyroelongated Square Pyramid given Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Gyroelongated Square Pyramid given Height can be measured.

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