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

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Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid. Check FAQs

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

TSA - Total Surface Area of Pentagonal Bipyramid?R_A/V - Surface to Volume Ratio of Pentagonal Bipyramid?

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

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

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

455.6832 = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7})}^{2}

455.6832m² = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7m⁻¹})}^{2}

455.6832 = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7})}^{2}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7m⁻¹})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{\frac{5 \cdot \sqrt{3}}{2}}{\frac{5 + \sqrt{5}}{12} \cdot 0.7})}^{2}

Next Step Evaluate

∴

TSA = 455.683227876005m²

LAST Step Rounding Answer

∴

TSA = 455.6832m²

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

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Total Surface Area of Pentagonal Bipyramid

Total Surface Area of Pentagonal Bipyramid is the total amount of two dimensional space occupied by all the faces of the Pentagonal Bipyramid.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Bipyramid

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

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 Total Surface Area of Pentagonal Bipyramid

Go Total Surface Area of Pentagonal Bipyramid

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {l e}^{2}

Go Total Surface Area of Pentagonal Bipyramid given Height

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

Go Total Surface Area of Pentagonal Bipyramid given Volume

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{12 \cdot V}{5 + \sqrt{5}})}^{\frac{2}{3}}

How to Evaluate Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio?

Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio evaluator uses Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^2 to evaluate the Total Surface Area of Pentagonal Bipyramid, The Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio formula is defined as the total amount of two-dimensional space occupied by all the faces of the Pentagonal Bipyramid and is calculated using the surface to volume ratio of the Pentagonal Bipyramid. Total Surface Area of Pentagonal Bipyramid is denoted by TSA symbol.

How to evaluate Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio, enter Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio

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

The formula of Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio is expressed as Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^2. Here is an example- 455.6832 = (5*sqrt(3))/2*(((5*sqrt(3))/2)/((5+sqrt(5))/12*0.7))^2.

How to calculate Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio?

With Surface to Volume Ratio of Pentagonal Bipyramid (R_A/V) we can find Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio using the formula - Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid))^2. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Total Surface Area of Pentagonal Bipyramid?

Here are the different ways to Calculate Total Surface Area of Pentagonal Bipyramid-

Total Surface Area of Pentagonal Bipyramid=(5*sqrt(3))/2*Edge Length of Pentagonal Bipyramid^2
Total Surface Area of Pentagonal Bipyramid=(5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2
Total Surface Area of Pentagonal Bipyramid=(5*sqrt(3))/2*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(2/3)

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

No, the Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio, measured in Area cannot be negative.

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

Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Total Surface Area of Pentagonal Bipyramid given Surface to Volume Ratio can be measured.

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