Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume Calculator

✖Volume of Elongated Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid.ⓘ Volume of Elongated Triangular Bipyramid [V]

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✖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.ⓘ Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume [AV]

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Formula

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Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume

Formula

`"AV" = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*"V")/((2*sqrt(2))+(3*sqrt(3))))^(1/3))`

Example

`"0.824477m⁻¹"=(3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*"700m³")/((2*sqrt(2))+(3*sqrt(3))))^(1/3))`

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Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume 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*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3))
AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*V)/((2*sqrt(2))+(3*sqrt(3))))^(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

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.
Volume of Elongated Triangular Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Triangular Bipyramid: 700 Cubic Meter --> 700 Cubic 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*((12*V)/((2*sqrt(2))+(3*sqrt(3))))^(1/3)) --> (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*700)/((2*sqrt(2))+(3*sqrt(3))))^(1/3))

Evaluating ... ...

AV = 0.824477420270067

STEP 3: Convert Result to Output's Unit

0.824477420270067 1 per Meter --> No Conversion Required

FINAL ANSWER

0.824477420270067 ≈ 0.824477 1 per Meter <-- SA:V of Elongated Triangular Bipyramid

(Calculation completed in 00.004 seconds)

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< 4 Surface to Volume Ratio of Elongated Triangular Bipyramid Calculators

Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume

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

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

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

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 given Volume Formula

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 given Volume?

Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume calculator uses 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)) to calculate the SA:V of Elongated Triangular Bipyramid, The Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume 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 calculated using 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 given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume, enter Volume of Elongated Triangular Bipyramid (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume calculation can be explained with given input values -> 0.824477 = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*700)/((2*sqrt(2))+(3*sqrt(3))))^(1/3)).

FAQ

What is Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume?

The Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume 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 calculated using the volume of the Elongated Triangular Bipyramid and is represented as AV = (3/2*(2+sqrt(3)))/(((2*sqrt(2))+(3*sqrt(3)))/12*((12*V)/((2*sqrt(2))+(3*sqrt(3))))^(1/3)) or 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)). Volume of Elongated Triangular Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Triangular Bipyramid.

How to calculate Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume?

The Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume 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 calculated using 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*((12*Volume of Elongated Triangular Bipyramid)/((2*sqrt(2))+(3*sqrt(3))))^(1/3)). To calculate Surface to Volume Ratio of Elongated Triangular Bipyramid given Volume, you need Volume of Elongated Triangular Bipyramid (V). With our tool, you need to enter the respective value for Volume 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 Volume 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*Edge Length of Elongated Triangular Bipyramid)
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)))))

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