Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio Calculator

✖SA:V of Elongated Square Bipyramid is the numerical ratio of the total surface area of the Elongated Square Bipyramid to the volume of the Elongated Square Bipyramid.ⓘ SA:V of Elongated Square Bipyramid [AV]

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

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Formula

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Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio

Formula

`"l"_{"e"} = (4+2*sqrt(3))/((1+sqrt(2)/3)*"AV")`

Example

`"10.14555m"=(4+2*sqrt(3))/((1+sqrt(2)/3)*"0.5m⁻¹")`

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Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Elongated Square Bipyramid = (4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid)
l_e = (4+2*sqrt(3))/((1+sqrt(2)/3)*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 Elongated Square Bipyramid - (Measured in Meter) - Edge Length of Elongated Square Bipyramid is the length of any edge of the Elongated Square Bipyramid.
SA:V of Elongated Square Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Square Bipyramid is the numerical ratio of the total surface area of the Elongated Square Bipyramid to the volume of the Elongated Square Bipyramid.

STEP 1: Convert Input(s) to Base Unit

SA:V of Elongated Square Bipyramid: 0.5 1 per Meter --> 0.5 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (4+2*sqrt(3))/((1+sqrt(2)/3)*AV) --> (4+2*sqrt(3))/((1+sqrt(2)/3)*0.5)

Evaluating ... ...

l_e = 10.1455466660182

STEP 3: Convert Result to Output's Unit

10.1455466660182 Meter --> No Conversion Required

FINAL ANSWER

10.1455466660182 ≈ 10.14555 Meter <-- Edge Length of Elongated Square Bipyramid

(Calculation completed in 00.004 seconds)

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St Joseph's College (SJC), Bengaluru

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Walchand College of Engineering (WCE), Sangli

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< 4 Edge Length of Elongated Square Bipyramid Calculators

Edge Length of Elongated Square Bipyramid given Total Surface Area

Go Edge Length of Elongated Square Bipyramid = sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3)))

Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio

Go Edge Length of Elongated Square Bipyramid = (4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid)

Edge Length of Elongated Square Bipyramid given Volume

Go Edge Length of Elongated Square Bipyramid = (Volume of Elongated Square Bipyramid/(1+sqrt(2)/3))^(1/3)

Edge Length of Elongated Square Bipyramid given Height

Go Edge Length of Elongated Square Bipyramid = Height of Elongated Square Bipyramid/(sqrt(2)+1)

Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio Formula

Edge Length of Elongated Square Bipyramid = (4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid)
l_e = (4+2*sqrt(3))/((1+sqrt(2)/3)*AV)

What is an Elongated Square Bipyramid?

The Elongated Square Bipyramid is a regular elongated square pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J15. It consists of 12 faces which include 8 equilateral triangles as pyramid faces, and 4 squares as side surfaces. Also, It has 20 edges and 10 vertices.

How to Calculate Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio?

Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio calculator uses Edge Length of Elongated Square Bipyramid = (4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid) to calculate the Edge Length of Elongated Square Bipyramid, The Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid. Edge Length of Elongated Square Bipyramid is denoted by l_e symbol.

How to calculate Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio, enter SA:V of Elongated Square Bipyramid (AV) and hit the calculate button. Here is how the Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio calculation can be explained with given input values -> 10.14555 = (4+2*sqrt(3))/((1+sqrt(2)/3)*0.5).

FAQ

What is Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio?

The Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid and is represented as l_e = (4+2*sqrt(3))/((1+sqrt(2)/3)*AV) or Edge Length of Elongated Square Bipyramid = (4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid). SA:V of Elongated Square Bipyramid is the numerical ratio of the total surface area of the Elongated Square Bipyramid to the volume of the Elongated Square Bipyramid.

How to calculate Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio?

The Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio formula is defined as the length of any edge of the Elongated Square Bipyramid and is calculated using the surface to volume ratio of the Elongated Square Bipyramid is calculated using Edge Length of Elongated Square Bipyramid = (4+2*sqrt(3))/((1+sqrt(2)/3)*SA:V of Elongated Square Bipyramid). To calculate Edge Length of Elongated Square Bipyramid given Surface to Volume Ratio, you need SA:V of Elongated Square Bipyramid (AV). With our tool, you need to enter the respective value for SA:V of Elongated Square Bipyramid 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 Elongated Square Bipyramid?

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

Edge Length of Elongated Square Bipyramid = Height of Elongated Square Bipyramid/(sqrt(2)+1)
Edge Length of Elongated Square Bipyramid = sqrt(Total Surface Area of Elongated Square Bipyramid/(4+2*sqrt(3)))
Edge Length of Elongated Square Bipyramid = (Volume of Elongated Square Bipyramid/(1+sqrt(2)/3))^(1/3)

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