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Total Surface Area of Pentagonal Bipyramid given Height Formula

GoTotal Surface Area of Pentagonal Bipyramid Formula

GoTotal Surface Area of Pentagonal Bipyramid given Volume 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{h}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

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

Total Surface Area of Pentagonal Bipyramid given Height Example

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

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

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

473.913 = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

473.913m² = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{11m}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

473.913 = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

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Total Surface Area of Pentagonal Bipyramid given Height Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{11m}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{5 \cdot \sqrt{3}}{2} \cdot {(\frac{11}{2 \cdot \sqrt{\frac{5 - \sqrt{5}}{10}}})}^{2}

Next Step Evaluate

∴

TSA = 473.913038584459m²

LAST Step Rounding Answer

∴

TSA = 473.913m²

Total Surface Area of Pentagonal Bipyramid given Height 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

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 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 Volume

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

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

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}

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

Total Surface Area of Pentagonal Bipyramid given Height evaluator uses Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2 to evaluate the Total Surface Area of Pentagonal Bipyramid, The Total Surface Area of Pentagonal Bipyramid given Height 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 height 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 Height using this online evaluator? To use this online evaluator for Total Surface Area of Pentagonal Bipyramid given Height, enter Height of Pentagonal Bipyramid (h) and hit the calculate button.

FAQs on Total Surface Area of Pentagonal Bipyramid given Height

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

The formula of Total Surface Area of Pentagonal Bipyramid given Height is expressed as Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^2. Here is an example- 473.913 = (5*sqrt(3))/2*(11/(2*sqrt((5-sqrt(5))/10)))^2.

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

With Height of Pentagonal Bipyramid (h) we can find Total Surface Area of Pentagonal Bipyramid given Height using the formula - Total Surface Area of Pentagonal Bipyramid = (5*sqrt(3))/2*(Height of Pentagonal Bipyramid/(2*sqrt((5-sqrt(5))/10)))^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*((12*Volume of Pentagonal Bipyramid)/(5+sqrt(5)))^(2/3)
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

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

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

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

Total Surface Area of Pentagonal Bipyramid given Height 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 Height can be measured.

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