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Volume of Truncated Rhombohedron given Total Surface Area Formula

GoVolume of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoVolume of Truncated Rhombohedron Formula

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Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron. Check FAQs

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

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

Volume of Truncated Rhombohedron given Total Surface Area Example

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

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

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

14671.8934 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})}^{\frac{3}{2}})

14671.8934m³ = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})}^{\frac{3}{2}})

14671.8934 = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})}^{\frac{3}{2}})

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Volume of Truncated Rhombohedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 3500m²}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})}^{\frac{3}{2}})

Next Step Prepare to Evaluate

∴

V = ((\frac{5}{3}) \cdot (\sqrt{\sqrt{5} - 2})) \cdot ({(\frac{2 \cdot 3500}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})})}^{\frac{3}{2}})

Next Step Evaluate

∴

V = 14671.8933713218m³

LAST Step Rounding Answer

∴

V = 14671.8934m³

Volume of Truncated Rhombohedron given Total Surface Area Formula Elements

Variables

Functions

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

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

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 Volume of Truncated Rhombohedron

Go Volume of Truncated Rhombohedron given Rhombohedral Edge Length

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

Go Volume of Truncated Rhombohedron

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

Go Volume of Truncated Rhombohedron given Triangular Edge Length

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

Go Volume of Truncated Rhombohedron given Circumsphere Radius

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

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

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

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

FAQs on Volume of Truncated Rhombohedron given Total Surface Area

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

The formula of Volume of Truncated Rhombohedron given Total Surface Area is expressed as Volume of Truncated Rhombohedron = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))^(3/2)). Here is an example- 14671.89 = ((5/3)*(sqrt(sqrt(5)-2)))*(((2*3500)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))^(3/2)).

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

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

What are the other ways to Calculate Volume of Truncated Rhombohedron?

Here are the different ways to Calculate Volume of Truncated Rhombohedron-

Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(Rhombohedral Edge Length of Truncated Rhombohedron^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*(((2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5)))^3)
Volume of Truncated Rhombohedron=((5/3)*(sqrt(sqrt(5)-2)))*((Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))^3)

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

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

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

Volume of Truncated Rhombohedron given Total Surface Area is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Truncated Rhombohedron given Total Surface Area can be measured.

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