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Total Surface Area of Pentagonal Trapezohedron given Short Edge Formula

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GoTotal Surface Area of Pentagonal Trapezohedron given Long 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(Short)}{(\frac{\sqrt{5} - 1}{2})})}^{2})

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

Total Surface Area of Pentagonal Trapezohedron given Short Edge Example

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

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

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

896.3634 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{6}{(\frac{\sqrt{5} - 1}{2})})}^{2})

896.3634m² = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{6m}{(\frac{\sqrt{5} - 1}{2})})}^{2})

896.3634 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{6}{(\frac{\sqrt{5} - 1}{2})})}^{2})

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Total Surface Area of Pentagonal Trapezohedron given Short Edge Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{6m}{(\frac{\sqrt{5} - 1}{2})})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({(\frac{6}{(\frac{\sqrt{5} - 1}{2})})}^{2})

Next Step Evaluate

∴

TSA = 896.363382557801m²

LAST Step Rounding Answer

∴

TSA = 896.3634m²

Total Surface Area of Pentagonal Trapezohedron given Short Edge Formula Elements

Variables

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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

Short Edge of Pentagonal Trapezohedron

Short Edge of Pentagonal Trapezohedron is the length of any of the shorter edges of the Pentagonal Trapezohedron.

Symbol: l_e(Short)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Short 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 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 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 Short Edge?

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

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

FAQs on Total Surface Area of Pentagonal Trapezohedron given Short Edge

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

The formula of Total Surface Area of Pentagonal Trapezohedron given Short Edge is expressed as Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((Short Edge of Pentagonal Trapezohedron/(((sqrt(5)-1)/2)))^2). Here is an example- 896.3634 = (sqrt((25/2)*(5+sqrt(5))))*((6/(((sqrt(5)-1)/2)))^2).

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

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

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

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

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

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