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Edge Length of Gyroelongated Square Pyramid given Height Formula

GoEdge Length of Gyroelongated Square Pyramid given Total Surface Area Formula

GoEdge Length of Gyroelongated Square Pyramid given Volume Formula

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

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

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

Edge Length of Gyroelongated Square Pyramid given Height Example

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

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

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

9.6899 = \frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}

9.6899m = \frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}

9.6899 = \frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}

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Edge Length of Gyroelongated Square Pyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{15m}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}

Next Step Prepare to Evaluate

∴

l e = \frac{15}{\sqrt{1 - \frac{1}{2 + \sqrt{2}}} + \frac{1}{\sqrt{2}}}

Next Step Evaluate

∴

l e = 9.68990247209664m

LAST Step Rounding Answer

∴

l e = 9.6899m

Edge Length of Gyroelongated Square Pyramid given Height Formula Elements

Variables

Functions

Edge Length of Gyroelongated Square Pyramid

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

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length 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 Edge Length of Gyroelongated Square Pyramid

Go Edge Length of Gyroelongated Square Pyramid given Total Surface Area

l e = \sqrt{\frac{SA Total}{1 + (3 \cdot \sqrt{3})}}

Go Edge Length of Gyroelongated Square Pyramid given Volume

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

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

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

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

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

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

FAQs on Edge Length of Gyroelongated Square Pyramid given Height

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

The formula of Edge Length of Gyroelongated Square Pyramid given Height is expressed as Edge Length of Gyroelongated Square Pyramid = Height of Gyroelongated Square Pyramid/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)). Here is an example- 9.689902 = 15/(sqrt(1-1/(2+sqrt(2)))+1/sqrt(2)).

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

With Height of Gyroelongated Square Pyramid (h) we can find Edge Length of Gyroelongated Square Pyramid given Height using the formula - Edge Length of Gyroelongated Square Pyramid = 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 Edge Length of Gyroelongated Square Pyramid?

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

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

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

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

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

Edge Length of Gyroelongated Square Pyramid 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 Pyramid given Height can be measured.

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