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Total Surface Area of Truncated Rhombohedron Formula

GoTotal Surface Area of Truncated Rhombohedron given Rhombohedral Edge Length 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{(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})

TSA - Total Surface Area of Truncated Rhombohedron?l_e - Edge Length of Truncated Rhombohedron?

Total Surface Area of Truncated Rhombohedron Example

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

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

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

3477.5445 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{2})

3477.5445m² = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{2 \cdot 10m}{3 - \sqrt{5}})}^{2})

3477.5445 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{2})

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Total Surface Area of Truncated Rhombohedron Solution

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

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 ({(\frac{2 \cdot l e}{3 - \sqrt{5}})}^{2})

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 ({(\frac{2 \cdot 10m}{3 - \sqrt{5}})}^{2})

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 ({(\frac{2 \cdot 10}{3 - \sqrt{5}})}^{2})

Next Step Evaluate

∴

TSA = 3477.54445214837m²

LAST Step Rounding Answer

∴

TSA = 3477.5445m²

Total Surface Area of Truncated Rhombohedron Formula Elements

Variables

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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

Edge Length of Truncated Rhombohedron

Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find 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 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 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?

Total Surface Area of Truncated Rhombohedron evaluator uses 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) to evaluate the Total Surface Area of Truncated Rhombohedron, Total Surface Area of Truncated Rhombohedron formula is defined as the total quantity of plane enclosed by the entire surface of the Truncated Rhombohedron. Total Surface Area of Truncated Rhombohedron is denoted by TSA symbol.

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

FAQs on Total Surface Area of Truncated Rhombohedron

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

The formula of Total Surface Area of Truncated Rhombohedron is expressed as 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). Here is an example- 3477.544 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((2*10)/(3-sqrt(5)))^2).

How to calculate Total Surface Area of Truncated Rhombohedron?

With Edge Length of Truncated Rhombohedron (l_e) we can find Total Surface Area of Truncated Rhombohedron using the formula - 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). 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)*((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 be negative?

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

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

Total Surface Area of Truncated Rhombohedron 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 can be measured.

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