Edge Length of Gyroelongated Square Pyramid given Total Surface Area Calculator

✖TSA of Gyroelongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Pyramid.ⓘ TSA of Gyroelongated Square Pyramid [SA_Total]

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✖Edge Length of Gyroelongated Square Pyramid is the length of any edge of the Gyroelongated Square Pyramid.ⓘ Edge Length of Gyroelongated Square Pyramid given Total Surface Area [l_e]

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Edge Length of Gyroelongated Square Pyramid given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Gyroelongated Square Pyramid = sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3))))
l_e = sqrt(SA_Total/(1+(3*sqrt(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 Pyramid - (Measured in Meter) - Edge Length of Gyroelongated Square Pyramid is the length of any edge of the Gyroelongated Square Pyramid.
TSA of Gyroelongated Square Pyramid - (Measured in Square Meter) - TSA of Gyroelongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Pyramid.

STEP 1: Convert Input(s) to Base Unit

TSA of Gyroelongated Square Pyramid: 620 Square Meter --> 620 Square Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = sqrt(SA_Total/(1+(3*sqrt(3)))) --> sqrt(620/(1+(3*sqrt(3))))

Evaluating ... ...

l_e = 10.0031043298455

STEP 3: Convert Result to Output's Unit

10.0031043298455 Meter --> No Conversion Required

FINAL ANSWER

10.0031043298455 ≈ 10.0031 Meter <-- Edge Length of Gyroelongated Square Pyramid

(Calculation completed in 00.004 seconds)

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< Edge Length of Gyroelongated Square Pyramid Calculators

Edge Length of Gyroelongated Square Pyramid given Surface to Volume Ratio

LaTeX Go 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)

Edge Length of Gyroelongated Square Pyramid given Volume

LaTeX Go 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 given Height

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

Edge Length of Gyroelongated Square Pyramid given Total Surface Area

LaTeX Go Edge Length of Gyroelongated Square Pyramid = sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3))))

Edge Length of Gyroelongated Square Pyramid given Total Surface Area Formula

LaTeX Go

Edge Length of Gyroelongated Square Pyramid = sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3))))
l_e = sqrt(SA_Total/(1+(3*sqrt(3))))

What is a Gyroelongated Square Pyramid?

The Gyroelongated Square Pyramid is a regular johnson square pyramid with a matching antiprism attached to the base, which is the Johnson solid generally denoted by J10. It consists of 13 faces which include 12 equilateral triangles as side surfaces, and a square as the base surface. Also, It has 20 edges and 9 vertices.

How to Calculate Edge Length of Gyroelongated Square Pyramid given Total Surface Area?

Edge Length of Gyroelongated Square Pyramid given Total Surface Area calculator uses Edge Length of Gyroelongated Square Pyramid = sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3)))) to calculate the Edge Length of Gyroelongated Square Pyramid, The Edge Length of Gyroelongated Square Pyramid given Total Surface Area formula is defined as the length of any edge of the Gyroelongated Square Pyramid and is calculated using the total surface area of the Gyroelongated Square Pyramid. Edge Length of Gyroelongated Square Pyramid is denoted by l_e symbol.

How to calculate Edge Length of Gyroelongated Square Pyramid given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Gyroelongated Square Pyramid given Total Surface Area, enter TSA of Gyroelongated Square Pyramid (SA_Total) and hit the calculate button. Here is how the Edge Length of Gyroelongated Square Pyramid given Total Surface Area calculation can be explained with given input values -> 10.0031 = sqrt(620/(1+(3*sqrt(3)))).

FAQ

What is Edge Length of Gyroelongated Square Pyramid given Total Surface Area?

The Edge Length of Gyroelongated Square Pyramid given Total Surface Area formula is defined as the length of any edge of the Gyroelongated Square Pyramid and is calculated using the total surface area of the Gyroelongated Square Pyramid and is represented as l_e = sqrt(SA_Total/(1+(3*sqrt(3)))) or Edge Length of Gyroelongated Square Pyramid = sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3)))). TSA of Gyroelongated Square Pyramid is the total amount of two-dimensional space occupied by all the faces of the Gyroelongated Square Pyramid.

How to calculate Edge Length of Gyroelongated Square Pyramid given Total Surface Area?

The Edge Length of Gyroelongated Square Pyramid given Total Surface Area formula is defined as the length of any edge of the Gyroelongated Square Pyramid and is calculated using the total surface area of the Gyroelongated Square Pyramid is calculated using Edge Length of Gyroelongated Square Pyramid = sqrt(TSA of Gyroelongated Square Pyramid/(1+(3*sqrt(3)))). To calculate Edge Length of Gyroelongated Square Pyramid given Total Surface Area, you need TSA of Gyroelongated Square Pyramid (SA_Total). With our tool, you need to enter the respective value for TSA of Gyroelongated Square Pyramid 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 Pyramid?

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

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

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