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Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio 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 (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot R A/V})}^{2})

A_Pentagon - Area of Pentagon of Truncated Rhombohedron?R_A/V - Surface to Volume Ratio of Truncated Rhombohedron?

Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio Example

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

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

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

755.116 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot 0.2})}^{2})

755.116m² = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot 0.2m⁻¹})}^{2})

755.116 = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot 0.2})}^{2})

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Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot R A/V})}^{2})

Next Step Substitute values of Variables

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot 0.2m⁻¹})}^{2})

Next Step Prepare to Evaluate

∴

A Pentagon = (\frac{\sqrt{5 + (2 \cdot \sqrt{5})}}{4}) \cdot ({(\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2 \cdot (\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2}) \cdot 0.2})}^{2})

Next Step Evaluate

∴

A Pentagon = 755.115975699078m²

LAST Step Rounding Answer

∴

A Pentagon = 755.116m²

Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

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

Surface to Volume Ratio of Truncated Rhombohedron

Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio 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 Surface to Volume Ratio?

Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio evaluator uses Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*Surface to Volume Ratio of Truncated Rhombohedron))^2) to evaluate the Area of Pentagon of Truncated Rhombohedron, Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the total quantity of two dimensional space enclosed on any pentagonal face of the Truncated Rhombohedron, calculated using its surface to volume ratio. Area of Pentagon of Truncated Rhombohedron is denoted by A_Pentagon symbol.

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

FAQs on Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio

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

The formula of Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio is expressed as Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*Surface to Volume Ratio of Truncated Rhombohedron))^2). Here is an example- 755.116 = ((sqrt(5+(2*sqrt(5))))/4)*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*0.2))^2).

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

With Surface to Volume Ratio of Truncated Rhombohedron (R_A/V) we can find Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio using the formula - Area of Pentagon of Truncated Rhombohedron = ((sqrt(5+(2*sqrt(5))))/4)*((((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/(2*(5/3)*(sqrt(sqrt(5)-2))*Surface to Volume Ratio of Truncated Rhombohedron))^2). 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 Surface to Volume Ratio be negative?

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

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

Area of Pentagon of Truncated Rhombohedron given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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