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Total Surface Area of Pentagonal Trapezohedron given Height Formula

GoTotal Surface Area of Pentagonal Trapezohedron Formula

GoTotal Surface Area of Pentagonal Trapezohedron given Short Edge Formula

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Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron. Check FAQs

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

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

Total Surface Area of Pentagonal Trapezohedron given Height Example

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

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

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

903.6514 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

903.6514m² = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

903.6514 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

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Total Surface Area of Pentagonal Trapezohedron given Height Solution

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

FIRST Step Consider the formula

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{h}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

Next Step Substitute values of Variables

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{30m}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{30}{(\sqrt{5 + 2 \cdot \sqrt{5}})})}^{2})

Next Step Evaluate

∴

TSA = 903.651371488023m²

LAST Step Rounding Answer

∴

TSA = 903.6514m²

Total Surface Area of Pentagonal Trapezohedron given Height Formula Elements

Variables

Functions

Total Surface Area of Pentagonal Trapezohedron

Total Surface Area of Pentagonal Trapezohedron is the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Pentagonal Trapezohedron

Height of Pentagonal Trapezohedron

Height of Pentagonal Trapezohedron is the distance between two peak vertices where long edges of the Pentagonal Trapezohedron join.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Trapezohedron

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 Trapezohedron

Go Total Surface Area of Pentagonal Trapezohedron

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({l e(Antiprism)}^{2})

Go Total Surface Area of Pentagonal Trapezohedron given Short Edge

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{l e(Short)}{(\frac{\sqrt{5} - 1}{2})})}^{2})

Go Total Surface Area of Pentagonal Trapezohedron given Long Edge

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})}^{2})

Go Total Surface Area of Pentagonal Trapezohedron given Volume

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({({(\frac{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

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

Total Surface Area of Pentagonal Trapezohedron given Height evaluator uses Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^2) to evaluate the Total Surface Area of Pentagonal Trapezohedron, The Total Surface Area of Pentagonal Trapezohedron given Height formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron, calculated using its height. Total Surface Area of Pentagonal Trapezohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentagonal Trapezohedron given Height

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

The formula of Total Surface Area of Pentagonal Trapezohedron given Height is expressed as Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^2). Here is an example- 903.6514 = (sqrt((25/2)*(5+sqrt(5))))*((30/((sqrt(5+2*sqrt(5)))))^2).

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

With Height of Pentagonal Trapezohedron (h) we can find Total Surface Area of Pentagonal Trapezohedron given Height using the formula - Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^2). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Pentagonal Trapezohedron=(sqrt((25/2)*(5+sqrt(5))))*(Antiprism Edge Length of Pentagonal Trapezohedron^2)
Total Surface Area of Pentagonal Trapezohedron=(sqrt((25/2)*(5+sqrt(5))))*((Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))^2)
Total Surface Area of Pentagonal Trapezohedron=(sqrt((25/2)*(5+sqrt(5))))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^2)

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

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

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

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

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