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Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio 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{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot AV}

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

Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio Example

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

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

21.876 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5}

21.876m = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5m⁻¹}

21.876 = (\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}) \cdot \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot 0.5}

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Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

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 0.5m⁻¹}

Next Step Prepare to Evaluate

∴

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 0.5}

Next Step Evaluate

∴

h = 21.8759604900129m

LAST Step Rounding Answer

∴

h = 21.876m

Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio 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

SA:V of Gyroelongated Square Dipyramid

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

Symbol: AV

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find SA:V 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 Volume

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}}

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

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

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

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

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

The formula of Height of Gyroelongated Square Dipyramid given Surface to Volume Ratio is expressed as 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). Here is an example- 21.87596 = (sqrt(1-1/(2+sqrt(2)))+sqrt(2))*(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*0.5).

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

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

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

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

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

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

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