Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume Calculator

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

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✖SA:V of Elongated Pentagonal Bipyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid.ⓘ Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume [AV]

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Formula

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Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume

Formula

`"AV" = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*("V"/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))`

Example

`"0.40292m⁻¹"=((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*("2300m³"/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))`

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Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))
AV = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(V/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(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 Pentagonal Bipyramid - (Measured in 1 per Meter) - SA:V of Elongated Pentagonal Bipyramid is the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid.
Volume of Elongated Pentagonal Bipyramid - (Measured in Cubic Meter) - Volume of Elongated Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Volume of Elongated Pentagonal Bipyramid: 2300 Cubic Meter --> 2300 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

AV = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(V/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)) --> ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(2300/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))

Evaluating ... ...

AV = 0.402919793972135

STEP 3: Convert Result to Output's Unit

0.402919793972135 1 per Meter --> No Conversion Required

FINAL ANSWER

0.402919793972135 ≈ 0.40292 1 per Meter <-- SA:V of Elongated Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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< 4 Surface to Volume Ratio of Elongated Pentagonal Bipyramid Calculators

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume

Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3))

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Height

Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1))

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Total Surface Area

Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5)))

Surface to Volume Ratio of Elongated Pentagonal Bipyramid

Go SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Edge Length of Elongated Pentagonal Bipyramid)

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume Formula

What is an Elongated Pentagonal Bipyramid?

The Elongated Pentagonal Bipyramid is a regular elongated pentagonal pyramid with another regular pyramid attached on the other side, which is the Johnson solid generally denoted by J16. It consists of 15 faces which include 10 equilateral triangles as pyramid faces, and 5 squares as side surfaces. Also, It has 25 edges and 12 vertices.

How to Calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume?

Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume calculator uses SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)) to calculate the SA:V of Elongated Pentagonal Bipyramid, The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the volume of the Elongated Pentagonal Bipyramid. SA:V of Elongated Pentagonal Bipyramid is denoted by AV symbol.

How to calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume using this online calculator? To use this online calculator for Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume, enter Volume of Elongated Pentagonal Bipyramid (V) and hit the calculate button. Here is how the Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume calculation can be explained with given input values -> 0.40292 = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(2300/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)).

FAQ

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

The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the volume of the Elongated Pentagonal Bipyramid and is represented as AV = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(V/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)) or SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)). Volume of Elongated Pentagonal Bipyramid is the total quantity of three-dimensional space enclosed by the surface of the Elongated Pentagonal Bipyramid.

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

The Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume formula is defined as the numerical ratio of the total surface area of the Elongated Pentagonal Bipyramid to the volume of the Elongated Pentagonal Bipyramid and is calculated using the volume of the Elongated Pentagonal Bipyramid is calculated using SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*(Volume of Elongated Pentagonal Bipyramid/((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4))^(1/3)). To calculate Surface to Volume Ratio of Elongated Pentagonal Bipyramid given Volume, you need Volume of Elongated Pentagonal Bipyramid (V). With our tool, you need to enter the respective value for Volume of Elongated Pentagonal 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 Pentagonal Bipyramid?

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

SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Edge Length of Elongated Pentagonal Bipyramid)
SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*Height of Elongated Pentagonal Bipyramid/((2*sqrt((5-sqrt(5))/10))+1))
SA:V of Elongated Pentagonal Bipyramid = ((5*sqrt(3))/2+5)/(((5+sqrt(5))/12+sqrt(25+10*sqrt(5))/4)*sqrt(TSA of Elongated Pentagonal Bipyramid/(((5*sqrt(3))/2)+5)))

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