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

✖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.ⓘ SA:V of Gyroelongated Square Dipyramid [AV]

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✖Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.ⓘ Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio [l_e]

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Formula

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Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio

Formula

`"l"_{"e"} = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*"AV")`

Example

`"9.700618m"=(12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*"0.5m⁻¹")`

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

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid)
l_e = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*AV)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Edge Length of Gyroelongated Square Dipyramid - (Measured in Meter) - Edge Length of Gyroelongated Square Dipyramid is the length of any edge of the Gyroelongated Square Dipyramid.
SA:V of Gyroelongated Square Dipyramid - (Measured in 1 per Meter) - 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.

STEP 1: Convert Input(s) to Base Unit

SA:V of Gyroelongated Square Dipyramid: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*AV) --> (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*0.5)

Evaluating ... ...

l_e = 9.70061802175801

STEP 3: Convert Result to Output's Unit

9.70061802175801 Meter --> No Conversion Required

FINAL ANSWER

9.70061802175801 ≈ 9.700618 Meter <-- Edge Length of Gyroelongated Square Dipyramid

(Calculation completed in 00.004 seconds)

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Home » Math » Geometry » 3D Geometry » Johnson Solids » Gyroelongated Square Dipyramid » Edge Length of Gyroelongated Square Dipyramid » Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio

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St Joseph's College (SJC), Bengaluru

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Indian Institute of Information Technology (IIIT), Bhopal

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< 4 Edge Length of Gyroelongated Square Dipyramid Calculators

Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio

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

Edge Length of Gyroelongated Square Dipyramid given Volume

Go 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 given Height

Go Edge Length of Gyroelongated Square Dipyramid = Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))

Edge Length of Gyroelongated Square Dipyramid given Total Surface Area

Go Edge Length of Gyroelongated Square Dipyramid = sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))

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

Edge Length of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid)
l_e = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*AV)

What is a Gyroelongated Square Dipyramid?

The Gyroelongated Square Dipyramid is a regular johnson square pyramid with a matching antiprism attached to the base and another regular square pyramid to the other side, which is the Johnson solid generally denoted by J17. It consists of 16 equilateral triangular faces. Also, It has 24 edges and 10 vertices.

How to Calculate Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio calculator uses Edge Length of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid) to calculate the Edge Length of Gyroelongated Square Dipyramid, The Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Dipyramid. Edge Length of Gyroelongated Square Dipyramid is denoted by l_e symbol.

How to calculate Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio, enter SA:V of Gyroelongated Square Dipyramid (AV) and hit the calculate button. Here is how the Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 9.700618 = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*0.5).

FAQ

What is Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio?

The Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Dipyramid and is represented as l_e = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*AV) or Edge Length of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*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.

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

The Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the surface to volume ratio of the Gyroelongated Square Dipyramid is calculated using Edge Length of Gyroelongated Square Dipyramid = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid). To calculate Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio, you need SA:V of Gyroelongated Square Dipyramid (AV). With our tool, you need to enter the respective value for SA:V of Gyroelongated Square Dipyramid and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Edge Length of Gyroelongated Square Dipyramid?

In this formula, Edge Length of Gyroelongated Square Dipyramid uses SA:V of Gyroelongated Square Dipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -

Edge Length of Gyroelongated Square Dipyramid = Height of Gyroelongated Square Dipyramid/(sqrt(1-1/(2+sqrt(2)))+sqrt(2))
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)

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