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Edge Length of Gyroelongated Square Dipyramid given Height Formula

GoEdge Length of Gyroelongated Square Dipyramid given Total Surface Area Formula

GoEdge Length of Gyroelongated Square Dipyramid given Volume Formula

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Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid. Check FAQs

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

l_e - Edge Length of Gyroelongated Square Dipyramid?h - Height of Gyroelongated Square Dipyramid?

Edge Length of Gyroelongated Square Dipyramid given Height Example

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

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

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

9.7556 = \frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}

9.7556m = \frac{22m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}

9.7556 = \frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}

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Edge Length of Gyroelongated Square Dipyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{22m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}

Next Step Prepare to Evaluate

∴

l e = \frac{22}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \sqrt{2}}

Next Step Evaluate

∴

l e = 9.75562177377794m

LAST Step Rounding Answer

∴

l e = 9.7556m

Edge Length of Gyroelongated Square Dipyramid given Height Formula Elements

Variables

Functions

Edge Length of Gyroelongated Square Dipyramid

Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Gyroelongated Square Dipyramid

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

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 Edge Length of Gyroelongated Square Dipyramid

Go Edge Length of Gyroelongated Square Dipyramid given Total Surface Area

l e = \sqrt{\frac{SA Total}{4 \cdot \sqrt{3}}}

Go Edge Length of Gyroelongated Square Dipyramid given Volume

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

Go Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio

l e = \frac{12 \cdot \sqrt{3}}{(\sqrt{2} + \sqrt{4 + (3 \cdot \sqrt{2})}) \cdot AV}

How to Evaluate Edge Length of Gyroelongated Square Dipyramid given Height?

Edge Length of Gyroelongated Square Dipyramid given Height evaluator uses Edge Length of Gyroelongated Square Dipyramid = Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)) to evaluate the Edge Length of Gyroelongated Square Dipyramid, The Edge Length of Gyroelongated Square Dipyramid given Height formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the height of the Gyroelongated Square Dipyramid. Edge Length of Gyroelongated Square Dipyramid is denoted by l_e symbol.

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

FAQs on Edge Length of Gyroelongated Square Dipyramid given Height

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

The formula of Edge Length of Gyroelongated Square Dipyramid given Height is expressed as Edge Length of Gyroelongated Square Dipyramid = Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)). Here is an example- 9.755622 = 22/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)).

How to calculate Edge Length of Gyroelongated Square Dipyramid given Height?

With Height of Gyroelongated Square Dipyramid (h) we can find Edge Length of Gyroelongated Square Dipyramid given Height using the formula - Edge Length of Gyroelongated Square Dipyramid = Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2)). This formula also uses Square Root (sqrt) function(s).

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

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

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

Can the Edge Length of Gyroelongated Square Dipyramid given Height be negative?

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

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

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

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