Surface to Volume Ratio of Pentagonal Bipyramid given Height Calculator

✖Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.ⓘ Height of Pentagonal Bipyramid [h]

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✖Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.ⓘ Surface to Volume Ratio of Pentagonal Bipyramid given Height [R_A/V]

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Formula

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Surface to Volume Ratio of Pentagonal Bipyramid given Height

Formula

`"R"_{"A/V"} = ((5*sqrt(3))/2)/((5+sqrt(5))/12*"h"/(2*sqrt((5-sqrt(5))/10)))`

Example

`"0.686405m⁻¹"=((5*sqrt(3))/2)/((5+sqrt(5))/12*"11m"/(2*sqrt((5-sqrt(5))/10)))`

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Surface to Volume Ratio of Pentagonal Bipyramid given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))
R_A/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*h/(2*sqrt((5-sqrt(5))/10)))
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

Surface to Volume Ratio of Pentagonal Bipyramid - (Measured in 1 per Meter) - Surface to Volume Ratio of Pentagonal Bipyramid is the numerical ratio of the total surface area of a Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid.
Height of Pentagonal Bipyramid - (Measured in Meter) - Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.

STEP 1: Convert Input(s) to Base Unit

Height of Pentagonal Bipyramid: 11 Meter --> 11 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

R_A/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*h/(2*sqrt((5-sqrt(5))/10))) --> ((5*sqrt(3))/2)/((5+sqrt(5))/12*11/(2*sqrt((5-sqrt(5))/10)))

Evaluating ... ...

R_A/V = 0.686404675835356

STEP 3: Convert Result to Output's Unit

0.686404675835356 1 per Meter --> No Conversion Required

FINAL ANSWER

0.686404675835356 ≈ 0.686405 1 per Meter <-- Surface to Volume Ratio of Pentagonal Bipyramid

(Calculation completed in 00.004 seconds)

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< 4 Surface to Volume Ratio of Pentagonal Bipyramid Calculators

Surface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area

Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))

Surface to Volume Ratio of Pentagonal Bipyramid given Height

Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))

Surface to Volume Ratio of Pentagonal Bipyramid given Volume

Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3))

Surface to Volume Ratio of Pentagonal Bipyramid

Go Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid)

Surface to Volume Ratio of Pentagonal Bipyramid given Height Formula

What is a Pentagonal Bipyramid?

A Pentagonal Bipyramid is made of two pentagonal Johnson pyramids which are stuck together at their bases, which is the Johnson solid generally denoted by J13. It consists of 10 faces which are all equilateral triangles. Also, It has 15 edges and 7 vertices.

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

Surface to Volume Ratio of Pentagonal Bipyramid given Height calculator uses Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10))) to calculate the Surface to Volume Ratio of Pentagonal Bipyramid, The Surface to Volume Ratio of Pentagonal Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid. Surface to Volume Ratio of Pentagonal Bipyramid is denoted by R_A/V symbol.

How to calculate Surface to Volume Ratio of Pentagonal Bipyramid given Height using this online calculator? To use this online calculator for Surface to Volume Ratio of Pentagonal Bipyramid given Height, enter Height of Pentagonal Bipyramid (h) and hit the calculate button. Here is how the Surface to Volume Ratio of Pentagonal Bipyramid given Height calculation can be explained with given input values -> 0.686405 = ((5*sqrt(3))/2)/((5+sqrt(5))/12*11/(2*sqrt((5-sqrt(5))/10))).

FAQ

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

The Surface to Volume Ratio of Pentagonal Bipyramid given Height formula is defined as the numerical ratio of the total surface area of the Pentagonal Bipyramid to the volume of the Pentagonal Bipyramid and is calculated using the height of the Pentagonal Bipyramid and is represented as R_A/V = ((5*sqrt(3))/2)/((5+sqrt(5))/12*h/(2*sqrt((5-sqrt(5))/10))) or Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10))). Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.

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

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

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

Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*Edge Length of Pentagonal Bipyramid)
Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))))
Surface to Volume Ratio of Pentagonal Bipyramid = ((5*sqrt(3))/2)/((5+sqrt(5))/12*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3))

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