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Height of Pentagonal Bipyramid given Total Surface Area Formula

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GoHeight of Pentagonal Bipyramid given Volume Formula

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

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

h - Height of Pentagonal Bipyramid?TSA - Total Surface Area of Pentagonal Bipyramid?

Height of Pentagonal Bipyramid given Total Surface Area Example

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Here is how the Height of Pentagonal Bipyramid given Total Surface Area equation looks like with Values.

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

Here is how the Height of Pentagonal Bipyramid given Total Surface Area equation looks like.

10.478 = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot 430}{5 \cdot \sqrt{3}}}

10.478m = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot 430m²}{5 \cdot \sqrt{3}}}

10.478 = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot 430}{5 \cdot \sqrt{3}}}

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Height of Pentagonal Bipyramid given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot 430m²}{5 \cdot \sqrt{3}}}

Next Step Prepare to Evaluate

∴

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot \sqrt{\frac{2 \cdot 430}{5 \cdot \sqrt{3}}}

Next Step Evaluate

∴

h = 10.4779804603849m

LAST Step Rounding Answer

∴

h = 10.478m

Height of Pentagonal Bipyramid given Total Surface Area Formula Elements

Variables

Functions

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

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

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 Height of Pentagonal Bipyramid

Go Height of Pentagonal Bipyramid

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot l e

Go Height of Pentagonal Bipyramid given Volume

h = 2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}} \cdot {(\frac{12 \cdot V}{5 + \sqrt{5}})}^{\frac{1}{3}}

Go Height of Pentagonal Bipyramid given Surface to Volume Ratio

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

How to Evaluate Height of Pentagonal Bipyramid given Total Surface Area?

Height of Pentagonal Bipyramid given Total Surface Area evaluator uses Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))) to evaluate the Height of Pentagonal Bipyramid, The Height of Pentagonal Bipyramid given Total Surface Area formula is defined as the vertical distance from the highest point to the lowest point of the Pentagonal Bipyramid and is calculated using the total surface area of the Pentagonal Bipyramid. Height of Pentagonal Bipyramid is denoted by h symbol.

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

FAQs on Height of Pentagonal Bipyramid given Total Surface Area

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

The formula of Height of Pentagonal Bipyramid given Total Surface Area is expressed as Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))). Here is an example- 10.47798 = 2*sqrt((5-sqrt(5))/10)*sqrt((2*430)/(5*sqrt(3))).

How to calculate Height of Pentagonal Bipyramid given Total Surface Area?

With Total Surface Area of Pentagonal Bipyramid (TSA) we can find Height of Pentagonal Bipyramid given Total Surface Area using the formula - Height of Pentagonal Bipyramid = 2*sqrt((5-sqrt(5))/10)*sqrt((2*Total Surface Area of Pentagonal Bipyramid)/(5*sqrt(3))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Height of Pentagonal Bipyramid?

Here are the different ways to Calculate Height of Pentagonal Bipyramid-

Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*Edge Length of Pentagonal Bipyramid
Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(1/3)
Height of Pentagonal Bipyramid=2*sqrt((5-sqrt(5))/10)*((5*sqrt(3))/2)/((5+sqrt(5))/12*Surface to Volume Ratio of Pentagonal Bipyramid)

Can the Height of Pentagonal Bipyramid given Total Surface Area be negative?

No, the Height of Pentagonal Bipyramid given Total Surface Area, measured in Length cannot be negative.

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

Height of Pentagonal Bipyramid given Total Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Pentagonal Bipyramid given Total Surface Area can be measured.

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