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Total Surface Area of Pentagonal Trapezohedron given Volume 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{12 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

TSA - Total Surface Area of Pentagonal Trapezohedron?V - Volume of Pentagonal Trapezohedron?

Total Surface Area of Pentagonal Trapezohedron given Volume Example

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

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

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

956.3689 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

956.3689m² = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

956.3689 = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

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Total Surface Area of Pentagonal Trapezohedron given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({({(\frac{12 \cdot 2200m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

Next Step Prepare to Evaluate

∴

TSA = (\sqrt{(\frac{25}{2}) \cdot (5 + \sqrt{5})}) \cdot ({({(\frac{12 \cdot 2200}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}})}^{2})

Next Step Evaluate

∴

TSA = 956.368851996082m²

LAST Step Rounding Answer

∴

TSA = 956.3689m²

Total Surface Area of Pentagonal Trapezohedron given Volume Formula Elements

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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

Volume of Pentagonal Trapezohedron

Volume of Pentagonal Trapezohedron is the amount of three dimensional space occupied by Pentagonal Trapezohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Height

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

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

Total Surface Area of Pentagonal Trapezohedron given Volume evaluator uses Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3))^2) to evaluate the Total Surface Area of Pentagonal Trapezohedron, The Total Surface Area of Pentagonal Trapezohedron given Volume formula is defined as the total quantity of two dimensional space enclosed on the entire surface of the Pentagonal Trapezohedron, calculated using its volume. Total Surface Area of Pentagonal Trapezohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Pentagonal Trapezohedron given Volume

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

The formula of Total Surface Area of Pentagonal Trapezohedron given Volume is expressed as Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3))^2). Here is an example- 956.3689 = (sqrt((25/2)*(5+sqrt(5))))*((((12*2200)/(5*(3+sqrt(5))))^(1/3))^2).

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

With Volume of Pentagonal Trapezohedron (V) we can find Total Surface Area of Pentagonal Trapezohedron given Volume using the formula - Total Surface Area of Pentagonal Trapezohedron = (sqrt((25/2)*(5+sqrt(5))))*((((12*Volume of Pentagonal Trapezohedron)/(5*(3+sqrt(5))))^(1/3))^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 Volume be negative?

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

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

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

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