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Volume of Rhombic Triacontahedron given Insphere Radius Formula

GoVolume of Rhombic Triacontahedron Formula

GoVolume of Rhombic Triacontahedron given Total Surface Area Formula

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Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron. Check FAQs

V = 4 \cdot {(\frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

V - Volume of Rhombic Triacontahedron?r_i - Insphere Radius of Rhombic Triacontahedron?

Volume of Rhombic Triacontahedron given Insphere Radius Example

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Here is how the Volume of Rhombic Triacontahedron given Insphere Radius equation looks like with Values.

Here is how the Volume of Rhombic Triacontahedron given Insphere Radius equation looks like with Units.

Here is how the Volume of Rhombic Triacontahedron given Insphere Radius equation looks like.

12955.4106 = 4 \cdot {(\frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

12955.4106m³ = 4 \cdot {(\frac{14m}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

12955.4106 = 4 \cdot {(\frac{14}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

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Volume of Rhombic Triacontahedron given Insphere Radius Solution

Follow our step by step solution on how to calculate Volume of Rhombic Triacontahedron given Insphere Radius?

FIRST Step Consider the formula

V = 4 \cdot {(\frac{r i}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

Next Step Substitute values of Variables

∴

V = 4 \cdot {(\frac{14m}{\sqrt{\frac{5 + (2 \cdot \sqrt{5})}{5}}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 12955.4106051885m³

LAST Step Rounding Answer

∴

V = 12955.4106m³

Volume of Rhombic Triacontahedron given Insphere Radius Formula Elements

Variables

Functions

Volume of Rhombic Triacontahedron

Volume of Rhombic Triacontahedron is the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron

Insphere Radius of Rhombic Triacontahedron is the radius of the sphere that is contained by the Rhombic Triacontahedron in such a way that all the faces are just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Rhombic Triacontahedron

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 Rhombic Triacontahedron

Go Volume of Rhombic Triacontahedron

V = 4 \cdot {l e}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

Go Volume of Rhombic Triacontahedron given Total Surface Area

V = 4 \cdot {(\frac{TSA}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

Go Volume of Rhombic Triacontahedron given Midsphere Radius

V = 4 \cdot {(\frac{5 \cdot r m}{5 + \sqrt{5}})}^{3} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

How to Evaluate Volume of Rhombic Triacontahedron given Insphere Radius?

Volume of Rhombic Triacontahedron given Insphere Radius evaluator uses Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5))) to evaluate the Volume of Rhombic Triacontahedron, Volume of Rhombic Triacontahedron given Insphere Radius formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron, calculated using insphere radius of Rhombic Triancontahedron. Volume of Rhombic Triacontahedron is denoted by V symbol.

How to evaluate Volume of Rhombic Triacontahedron given Insphere Radius using this online evaluator? To use this online evaluator for Volume of Rhombic Triacontahedron given Insphere Radius, enter Insphere Radius of Rhombic Triacontahedron (r_i) and hit the calculate button.

FAQs on Volume of Rhombic Triacontahedron given Insphere Radius

What is the formula to find Volume of Rhombic Triacontahedron given Insphere Radius?

The formula of Volume of Rhombic Triacontahedron given Insphere Radius is expressed as Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5))). Here is an example- 12955.41 = 4*(14/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5))).

How to calculate Volume of Rhombic Triacontahedron given Insphere Radius?

With Insphere Radius of Rhombic Triacontahedron (r_i) we can find Volume of Rhombic Triacontahedron given Insphere Radius using the formula - Volume of Rhombic Triacontahedron = 4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Rhombic Triacontahedron?

Here are the different ways to Calculate Volume of Rhombic Triacontahedron-

Volume of Rhombic Triacontahedron=4*Edge Length of Rhombic Triacontahedron^3*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron=4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron=4*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^3*sqrt(5+(2*sqrt(5)))

Can the Volume of Rhombic Triacontahedron given Insphere Radius be negative?

No, the Volume of Rhombic Triacontahedron given Insphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombic Triacontahedron given Insphere Radius?

Volume of Rhombic Triacontahedron given Insphere Radius 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 Rhombic Triacontahedron given Insphere Radius can be measured.

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