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Area of Pentagon of Truncated Rhombohedron given Volume Formula

GoArea of Pentagon of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoArea of Pentagon of Truncated Rhombohedron Formula

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Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron. Check FAQs

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

A_Pentagon - Area of Pentagon of Truncated Rhombohedron?V - Volume of Truncated Rhombohedron?

Area of Pentagon of Truncated Rhombohedron given Volume Example

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Here is how the Area of Pentagon of Truncated Rhombohedron given Volume equation looks like with Values.

Here is how the Area of Pentagon of Truncated Rhombohedron given Volume equation looks like with Units.

Here is how the Area of Pentagon of Truncated Rhombohedron given Volume equation looks like.

526.6205 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

526.6205m² = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

526.6205 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

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Area of Pentagon of Truncated Rhombohedron given Volume Solution

Follow our step by step solution on how to calculate Area of Pentagon of Truncated Rhombohedron given Volume?

FIRST Step Consider the formula

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

Next Step Substitute values of Variables

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

Next Step Prepare to Evaluate

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

Next Step Evaluate

∴

A Pentagon = 526.620521477293m²

LAST Step Rounding Answer

∴

A Pentagon = 526.6205m²

Area of Pentagon of Truncated Rhombohedron given Volume Formula Elements

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Area of Pentagon of Truncated Rhombohedron

Area of Pentagon of Truncated Rhombohedron is the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron.

Symbol: A_Pentagon

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Area of Pentagon of Truncated Rhombohedron

Volume of Truncated Rhombohedron

Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Rhombohedron

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 Area of Pentagon of Truncated Rhombohedron

Go Area of Pentagon of Truncated Rhombohedron given Rhombohedral Edge Length

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({l e(Rhombohedron)}^{2})

Go Area of Pentagon of Truncated Rhombohedron

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{2 \cdot l e}{3 - \sqrt{5}})}^{2})

Go Area of Pentagon of Truncated Rhombohedron given Triangular Edge Length

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{2})

Go Area of Pentagon of Truncated Rhombohedron given Circumsphere Radius

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

How to Evaluate Area of Pentagon of Truncated Rhombohedron given Volume?

Area of Pentagon of Truncated Rhombohedron given Volume evaluator uses Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(2/3)) to evaluate the Area of Pentagon of Truncated Rhombohedron, Area of Pentagon of Truncated Rhombohedron given Volume formula is defined as the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron, calculated using its volume. Area of Pentagon of Truncated Rhombohedron is denoted by A_Pentagon symbol.

How to evaluate Area of Pentagon of Truncated Rhombohedron given Volume using this online evaluator? To use this online evaluator for Area of Pentagon of Truncated Rhombohedron given Volume, enter Volume of Truncated Rhombohedron (V) and hit the calculate button.

FAQs on Area of Pentagon of Truncated Rhombohedron given Volume

What is the formula to find Area of Pentagon of Truncated Rhombohedron given Volume?

The formula of Area of Pentagon of Truncated Rhombohedron given Volume is expressed as Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(2/3)). Here is an example- 526.6205 = ((sqrt(5+(2*sqrt(5))))/4)*(((3*14500)/(5*(sqrt(sqrt(5)-2))))^(2/3)).

How to calculate Area of Pentagon of Truncated Rhombohedron given Volume?

With Volume of Truncated Rhombohedron (V) we can find Area of Pentagon of Truncated Rhombohedron given Volume using the formula - Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(2/3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Area of Pentagon of Truncated Rhombohedron?

Here are the different ways to Calculate Area of Pentagon of Truncated Rhombohedron-

Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*(Rhombohedral Edge Length of Truncated Rhombohedron^2)
Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2)
Area of Pentagon of Truncated Rhombohedron=((sqrt(5+(2*sqrt(5))))/4)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2)

Can the Area of Pentagon of Truncated Rhombohedron given Volume be negative?

No, the Area of Pentagon of Truncated Rhombohedron given Volume, measured in Area cannot be negative.

Which unit is used to measure Area of Pentagon of Truncated Rhombohedron given Volume?

Area of Pentagon of Truncated Rhombohedron 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 Area of Pentagon of Truncated Rhombohedron given Volume can be measured.

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