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Total Surface Area of Truncated Rhombohedron given Volume 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 ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

TSA - Total Surface Area of Truncated Rhombohedron?V - Volume of Truncated Rhombohedron?

Total Surface Area of Truncated Rhombohedron given Volume Example

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

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

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

3472.6094 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

3472.6094m² = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

3472.6094 = (\frac{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}{2}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

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Total Surface Area of Truncated Rhombohedron given Volume Solution

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

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

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{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

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{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{2}{3}})

Next Step Evaluate

∴

TSA = 3472.60941025974m²

LAST Step Rounding Answer

∴

TSA = 3472.6094m²

Total Surface Area of Truncated Rhombohedron given Volume Formula Elements

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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

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 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 Volume?

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

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

FAQs on Total Surface Area of Truncated Rhombohedron given Volume

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

The formula of Total Surface Area of Truncated Rhombohedron given Volume is expressed as Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(2/3)). Here is an example- 3472.609 = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((3*14500)/(5*(sqrt(sqrt(5)-2))))^(2/3)).

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

With Volume of Truncated Rhombohedron (V) we can find Total Surface Area of Truncated Rhombohedron given Volume using the formula - Total Surface Area of Truncated Rhombohedron = (((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15)))/2)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(2/3)). This formula also uses Square Root Function 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 Volume be negative?

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

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

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

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