Surface to Volume Ratio of Elongated Triangular Bipyramid Solution

STEP 0: Pre-Calculation Summary
Formula Used
SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid)
AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*le)
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
SA:V of Elongated Triangular Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Triangular Bipyramid is the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid.
Edge Length of Elongated Triangular Bipyramid - (Measured in Meter) - Edge Length of Elongated Triangular Bipyramid is the length of any edge of the Elongated Triangular Bipyramid.
STEP 1: Convert Input(s) to Base Unit
Edge Length of Elongated Triangular Bipyramid: 10 Meter --> 10 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*le) --> (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*10)
Evaluating ... ...
AV = 0.837139368349376
STEP 3: Convert Result to Output's Unit
0.837139368349376 1 per Meter --> No Conversion Required
FINAL ANSWER
0.837139368349376 0.837139 1 per Meter <-- SA:V of Elongated Triangular Bipyramid
(Calculation completed in 00.007 seconds)

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Indian Institute of Information Technology (IIIT), Bhopal
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Surface to Volume Ratio of Elongated Triangular Bipyramid Calculators

Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume
​ LaTeX ​ Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3))
Surface to Volume Ratio of Elongated Triangular Bipyramid given Total Surface Area
​ LaTeX ​ Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))
Surface to Volume Ratio of Elongated Triangular Bipyramid given Height
​ LaTeX ​ Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1)))
Surface to Volume Ratio of Elongated Triangular Bipyramid
​ LaTeX ​ Go SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid)

Surface to Volume Ratio of Elongated Triangular Bipyramid Formula

​LaTeX ​Go
SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid)
AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*le)

What is an Elongated Triangular Bipyramid?

The Elongated Triangular Bipyramid is a regular elongated triangular pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J14. It consists of 9 faces which include 6 equilateral triangles as pyramid faces, and 3 squares as side surfaces. Also, It has 15 edges and 8 vertices.

How to Calculate Surface to Volume Ratio of Elongated Triangular Bipyramid?

Surface to Volume Ratio of Elongated Triangular Bipyramid calculator uses SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid) to calculate the SA:V of Elongated Triangular Bipyramid, The Surface to Volume Ratio of Elongated Triangular Bipyramid formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid. SA:V of Elongated Triangular Bipyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Elongated Triangular Bipyramid using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Triangular Bipyramid, enter Edge Length of Elongated Triangular Bipyramid (le) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Triangular Bipyramid calculation can be explained with given input values -> 0.837139 = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*10).

FAQ

What is Surface to Volume Ratio of Elongated Triangular Bipyramid?
The Surface to Volume Ratio of Elongated Triangular Bipyramid formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid and is represented as AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*le) or SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid). Edge Length of Elongated Triangular Bipyramid is the length of any edge of the Elongated Triangular Bipyramid.
How to calculate Surface to Volume Ratio of Elongated Triangular Bipyramid?
The Surface to Volume Ratio of Elongated Triangular Bipyramid formula is defined as the numerical ratio of the total surface area of the Elongated Triangular Bipyramid to the volume of the Elongated Triangular Bipyramid is calculated using SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*Edge Length of Elongated Triangular Bipyramid). To calculate Surface to Volume Ratio of Elongated Triangular Bipyramid, you need Edge Length of Elongated Triangular Bipyramid (le). With our tool, you need to enter the respective value for Edge Length of Elongated Triangular 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 SA:V of Elongated Triangular Bipyramid?
In this formula, SA:V of Elongated Triangular Bipyramid uses Edge Length of Elongated Triangular Bipyramid. We can use 3 other way(s) to calculate the same, which is/are as follows -
  • SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*(Height of Elongated Triangular Bipyramid/((2*sqrt(6))/3+1)))
  • SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*sqrt(TSA of Elongated Triangular Bipyramid/(3/2*(2+sqrt(3)))))
  • SA:V of Elongated Triangular Bipyramid = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3))
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