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Surface to Volume Ratio of Pentagonal Bipyramid given Height Formula

GoSurface to Volume Ratio of Pentagonal Bipyramid Formula

GoSurface to Volume Ratio of Pentagonal Bipyramid given Total Surface Area Formula

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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. Check FAQs

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

R_A/V - Surface to Volume Ratio of Pentagonal Bipyramid?h - Height of Pentagonal Bipyramid?

Surface to Volume Ratio of Pentagonal Bipyramid given Height Example

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Here is how the Surface to Volume Ratio of Pentagonal Bipyramid given Height equation looks like with Values.

Here is how the Surface to Volume Ratio of Pentagonal Bipyramid given Height equation looks like with Units.

Here is how the Surface to Volume Ratio of Pentagonal Bipyramid given Height equation looks like.

0.6864 = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

0.6864m⁻¹ = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{11m}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

0.6864 = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

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Surface to Volume Ratio of Pentagonal Bipyramid given Height Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Pentagonal Bipyramid given Height?

FIRST Step Consider the formula

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

Next Step Substitute values of Variables

∴

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{11m}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}}}

Next Step Evaluate

∴

R A/V = 0.686404675835356m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6864m⁻¹

Surface to Volume Ratio of Pentagonal Bipyramid given Height Formula Elements

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Surface to Volume Ratio of Pentagonal Bipyramid

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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Pentagonal Bipyramid

Height of Pentagonal Bipyramid

Height of Pentagonal Bipyramid is the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Bipyramid

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.

Syntax: sqrt(Number)

Other Formulas to find Surface to Volume Ratio of Pentagonal Bipyramid

Go Surface to Volume Ratio of Pentagonal Bipyramid

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot l e}

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

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot \sqrt{\frac{2 \cdot TSA}{5 \cdot \sqrt{3}}}}

Go Surface to Volume Ratio of Pentagonal Bipyramid given Volume

R A/V = \frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot {(\frac{12 \cdot V}{5 + \sqrt{5}})}^{\frac{1}{3}}}

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

Surface to Volume Ratio of Pentagonal Bipyramid given Height evaluator 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 evaluate 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 evaluate Surface to Volume Ratio of Pentagonal Bipyramid given Height using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Pentagonal Bipyramid given Height, enter Height of Pentagonal Bipyramid (h) and hit the calculate button.

FAQs on Surface to Volume Ratio of Pentagonal Bipyramid given Height

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

The formula of Surface to Volume Ratio of Pentagonal Bipyramid given Height is expressed as 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))). Here is an example- 0.686405 = ((5*sqrt(3))/2)/((5+sqrt(5))/12*11/(2*sqrt((5-sqrt(5))/10))).

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

With Height of Pentagonal Bipyramid (h) we can find Surface to Volume Ratio of Pentagonal Bipyramid given Height using the formula - 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))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Surface to Volume Ratio of Pentagonal Bipyramid?

Here are the different ways to Calculate Surface to Volume Ratio of Pentagonal Bipyramid-

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))

Can the Surface to Volume Ratio of Pentagonal Bipyramid given Height be negative?

No, the Surface to Volume Ratio of Pentagonal Bipyramid given Height, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Pentagonal Bipyramid given Height?

Surface to Volume Ratio of Pentagonal Bipyramid given Height is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Pentagonal Bipyramid given Height can be measured.

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