Edge Length of Gyroelongated Square Dipyramid given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
Edge Length of Gyroelongated Square Dipyramid = ((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)
le = ((3*V)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)
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.
Volume of Gyroelongated Square Dipyramid - (Measured in Cubic Meter) - Volume of Gyroelongated Square Dipyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid.
STEP 1: Convert Input(s) to Base Unit
Volume of Gyroelongated Square Dipyramid: 1400 Cubic Meter --> 1400 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
le = ((3*V)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3) --> ((3*1400)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)
Evaluating ... ...
le = 9.93327079366989
STEP 3: Convert Result to Output's Unit
9.93327079366989 Meter --> No Conversion Required
FINAL ANSWER
9.93327079366989 9.933271 Meter <-- Edge Length of Gyroelongated Square Dipyramid
(Calculation completed in 00.004 seconds)

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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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Edge Length of Gyroelongated Square Dipyramid Calculators

Edge Length of Gyroelongated Square Dipyramid given Surface to Volume Ratio
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ 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
​ LaTeX ​ Go Edge Length of Gyroelongated Square Dipyramid = sqrt(TSA of Gyroelongated Square Dipyramid/(4*sqrt(3)))

Edge Length of Gyroelongated Square Dipyramid given Volume Formula

​LaTeX ​Go
Edge Length of Gyroelongated Square Dipyramid = ((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)
le = ((3*V)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3)

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 Volume?

Edge Length of Gyroelongated Square Dipyramid given Volume calculator uses Edge Length of Gyroelongated Square Dipyramid = ((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3) to calculate the Edge Length of Gyroelongated Square Dipyramid, The Edge Length of Gyroelongated Square Dipyramid given Volume formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the volume of the Gyroelongated Square Dipyramid. Edge Length of Gyroelongated Square Dipyramid is denoted by le symbol.

How to calculate Edge Length of Gyroelongated Square Dipyramid given Volume using this online calculator? To use this online calculator for Edge Length of Gyroelongated Square Dipyramid given Volume, enter Volume of Gyroelongated Square Dipyramid (V) and hit the calculate button. Here is how the Edge Length of Gyroelongated Square Dipyramid given Volume calculation can be explained with given input values -> 9.933271 = ((3*1400)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3).

FAQ

What is Edge Length of Gyroelongated Square Dipyramid given Volume?
The Edge Length of Gyroelongated Square Dipyramid given Volume formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the volume of the Gyroelongated Square Dipyramid and is represented as le = ((3*V)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3) or Edge Length of Gyroelongated Square Dipyramid = ((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3). Volume of Gyroelongated Square Dipyramid is the total quantity of three-dimensional space enclosed by the surface of the Gyroelongated Square Dipyramid.
How to calculate Edge Length of Gyroelongated Square Dipyramid given Volume?
The Edge Length of Gyroelongated Square Dipyramid given Volume formula is defined as the length of any edge of the Gyroelongated Square Dipyramid and is calculated using the volume of the Gyroelongated Square Dipyramid is calculated using Edge Length of Gyroelongated Square Dipyramid = ((3*Volume of Gyroelongated Square Dipyramid)/(sqrt(2)+sqrt(4+(3*sqrt(2)))))^(1/3). To calculate Edge Length of Gyroelongated Square Dipyramid given Volume, you need Volume of Gyroelongated Square Dipyramid (V). With our tool, you need to enter the respective value for Volume 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 Volume 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 = (12*sqrt(3))/((sqrt(2)+sqrt(4+(3*sqrt(2))))*SA:V of Gyroelongated Square Dipyramid)
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