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Total Surface Area of Pentagonal Trapezohedron given Long Edge 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{l e(Long)}{(\frac{\sqrt{5} + 1}{2})})}^{2})

TSA - Total Surface Area of Pentagonal Trapezohedron?l_e(Long) - Long Edge of Pentagonal Trapezohedron?

Total Surface Area of Pentagonal Trapezohedron given Long Edge Example

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

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

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

929.9744 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{16}{(\frac{\sqrt{5} + 1}{2})})}^{2})

929.9744m² = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{16m}{(\frac{\sqrt{5} + 1}{2})})}^{2})

929.9744 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{16}{(\frac{\sqrt{5} + 1}{2})})}^{2})

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Total Surface Area of Pentagonal Trapezohedron given Long Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{16m}{(\frac{\sqrt{5} + 1}{2})})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{16}{(\frac{\sqrt{5} + 1}{2})})}^{2})

Next Step Evaluate

∴

TSA = 929.974435846862m²

LAST Step Rounding Answer

∴

TSA = 929.9744m²

Total Surface Area of Pentagonal Trapezohedron given Long Edge 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

Long Edge of Pentagonal Trapezohedron

Long Edge of Pentagonal Trapezohedron is the length of the any of the longer edges of the Pentagonal Trapezohedron.

Symbol: l_e(Long)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Long Edge 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 Height

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

Total Surface Area of Pentagonal Trapezohedron given Long Edge evaluator uses Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^2) to evaluate the Total Surface Area of Pentagonal Trapezohedron, The Total Surface Area of Pentagonal Trapezohedron given Long Edge formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron, calculated using its long edge. Total Surface Area of Pentagonal Trapezohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentagonal Trapezohedron given Long Edge

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

The formula of Total Surface Area of Pentagonal Trapezohedron given Long Edge is expressed as Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^2). Here is an example- 929.9744 = (sqrt((25/2)*(5+sqrt(5))))*((16/(((sqrt(5)+1)/2)))^2).

How to calculate Total Surface Area of Pentagonal Trapezohedron given Long Edge?

With Long Edge of Pentagonal Trapezohedron (l_e(Long)) we can find Total Surface Area of Pentagonal Trapezohedron given Long Edge using the formula - Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Long Edge of Pentagonal Trapezohedron/(((sqrt(5)+1)/2)))^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))))*((Height of Pentagonal Trapezohedron/((sqrt(5+2*sqrt(5)))))^2)

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

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

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

Total Surface Area of Pentagonal Trapezohedron given Long Edge 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 Long Edge can be measured.

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