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Total Surface Area of Truncated Rhombohedron given Area of Pentagon Formula

GoTotal Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoTotal Surface Area of Truncated Rhombohedron Formula

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Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron. Check FAQs

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

TSA - Total Surface Area of Truncated Rhombohedron?A_Pentagon - Area of Pentagon of Truncated Rhombohedron?

Total Surface Area of Truncated Rhombohedron given Area of Pentagon Example

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

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

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

3494.8942 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot (4 \cdot \frac{530}{\sqrt{5 + (2 \cdot \sqrt{5})}})

3494.8942m² = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot (4 \cdot \frac{530m²}{\sqrt{5 + (2 \cdot \sqrt{5})}})

3494.8942 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot (4 \cdot \frac{530}{\sqrt{5 + (2 \cdot \sqrt{5})}})

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Total Surface Area of Truncated Rhombohedron given Area of Pentagon Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot (4 \cdot \frac{530m²}{\sqrt{5 + (2 \cdot \sqrt{5})}})

Next Step Prepare to Evaluate

∴

TSA = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot (4 \cdot \frac{530}{\sqrt{5 + (2 \cdot \sqrt{5})}})

Next Step Evaluate

∴

TSA = 3494.89416453935m²

LAST Step Rounding Answer

∴

TSA = 3494.8942m²

Total Surface Area of Truncated Rhombohedron given Area of Pentagon Formula Elements

Variables

Functions

Total Surface Area of Truncated Rhombohedron

Total Surface Area of Truncated Rhombohedron is the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Rhombohedron

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

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 Truncated Rhombohedron

Go Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length

TSA = \frac{({l e(Rhombohedron)}^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

Go Total Surface Area of Truncated Rhombohedron

TSA = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{2 \cdot l e}{3 - \sqrt{5}})}^{2})

Go Total Surface Area of Truncated Rhombohedron given Triangular Edge Length

TSA = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}})}^{2})

Go Total Surface Area of Truncated Rhombohedron given Circumsphere Radius

TSA = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})}^{2})

How to Evaluate Total Surface Area of Truncated Rhombohedron given Area of Pentagon?

Total Surface Area of Truncated Rhombohedron given Area of Pentagon evaluator uses Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(4*Area of Pentagon of Truncated Rhombohedron/(sqrt(5+(2*sqrt(5))))) to evaluate the Total Surface Area of Truncated Rhombohedron, Total Surface Area of Truncated Rhombohedron given Area of Pentagon formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its area of pentagon. Total Surface Area of Truncated Rhombohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Truncated Rhombohedron given Area of Pentagon

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

The formula of Total Surface Area of Truncated Rhombohedron given Area of Pentagon is expressed as Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(4*Area of Pentagon of Truncated Rhombohedron/(sqrt(5+(2*sqrt(5))))). Here is an example- 3494.894 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(4*530/(sqrt(5+(2*sqrt(5))))).

How to calculate Total Surface Area of Truncated Rhombohedron given Area of Pentagon?

With Area of Pentagon of Truncated Rhombohedron (A_Pentagon) we can find Total Surface Area of Truncated Rhombohedron given Area of Pentagon using the formula - Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(4*Area of Pentagon of Truncated Rhombohedron/(sqrt(5+(2*sqrt(5))))). This formula also uses Square Root (sqrt) function(s).

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

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

Total Surface Area of Truncated Rhombohedron=((Rhombohedral Edge Length of Truncated Rhombohedron^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2
Total Surface Area of Truncated Rhombohedron=(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^2)
Total Surface Area of Truncated Rhombohedron=(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^2)

Can the Total Surface Area of Truncated Rhombohedron given Area of Pentagon be negative?

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

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

Total Surface Area of Truncated Rhombohedron given Area of Pentagon 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 Truncated Rhombohedron given Area of Pentagon can be measured.

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