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Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoTotal Surface Area of Truncated Rhombohedron Formula

GoTotal Surface Area of Truncated Rhombohedron given Triangular Edge Length 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{({l e(Rhombohedron)}^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

TSA - Total Surface Area of Truncated Rhombohedron?l_{e(Rhombohedron)} - Rhombohedral Edge Length of Truncated Rhombohedron?

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length Example

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

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

Here is how the Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length equation looks like.

3171.0431 = \frac{(25^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

3171.0431m² = \frac{({25m}^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

3171.0431 = \frac{(25^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

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Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

TSA = \frac{({25m}^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

Next Step Prepare to Evaluate

∴

TSA = \frac{(25^{2}) \cdot ((3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15}))}{2}

Next Step Evaluate

∴

TSA = 3171.04311154853m²

LAST Step Rounding Answer

∴

TSA = 3171.0431m²

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length 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

Rhombohedral Edge Length of Truncated Rhombohedron

Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed.

Symbol: l_{e(Rhombohedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rhombohedral Edge Length 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

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})

Go Total Surface Area of Truncated Rhombohedron given Area of Pentagon

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})}})

How to Evaluate Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length?

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length evaluator uses 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 to evaluate the Total Surface Area of Truncated Rhombohedron, Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron, calculated using its rhombohedral edge length. Total Surface Area of Truncated Rhombohedron is denoted by TSA symbol.

How to evaluate Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length using this online evaluator? To use this online evaluator for Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length, enter Rhombohedral Edge Length of Truncated Rhombohedron (l_{e(Rhombohedron)}) and hit the calculate button.

FAQs on Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length

What is the formula to find Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length?

The formula of Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length is expressed as 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. Here is an example- 3171.043 = ((25^2)*((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))/2.

How to calculate Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length?

With Rhombohedral Edge Length of Truncated Rhombohedron (l_{e(Rhombohedron)}) we can find Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length using the formula - 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. 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=(((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)
Total Surface Area of Truncated Rhombohedron=(((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))^2)

Can the Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length be negative?

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

Which unit is used to measure Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length?

Total Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length 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 Rhombohedral Edge Length can be measured.

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