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Volume of Rhombic Triacontahedron given Total Surface Area Formula

GoVolume of Rhombic Triacontahedron Formula

GoVolume of Rhombic Triacontahedron given Midsphere Radius 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{TSA}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

V - Volume of Rhombic Triacontahedron?TSA - Total Surface Area of Rhombic Triacontahedron?

Volume of Rhombic Triacontahedron given Total Surface Area Example

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

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

Here is how the Volume of Rhombic Triacontahedron given Total Surface Area equation looks like.

12425.9679 = 4 \cdot {(\frac{2700}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

12425.9679m³ = 4 \cdot {(\frac{2700m²}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

12425.9679 = 4 \cdot {(\frac{2700}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

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Volume of Rhombic Triacontahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = 4 \cdot {(\frac{2700m²}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

Next Step Prepare to Evaluate

∴

V = 4 \cdot {(\frac{2700}{12 \cdot \sqrt{5}})}^{\frac{3}{2}} \cdot \sqrt{5 + (2 \cdot \sqrt{5})}

Next Step Evaluate

∴

V = 12425.967881009m³

LAST Step Rounding Answer

∴

V = 12425.9679m³

Volume of Rhombic Triacontahedron given Total Surface Area 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

Total Surface Area of Rhombic Triacontahedron

Total Surface Area of Rhombic Triacontahedron is the total quantity of plane enclosed on the entire surface of the Rhombic Triacontahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Midsphere Radius

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

Go Volume of Rhombic Triacontahedron given Insphere Radius

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

How to Evaluate Volume of Rhombic Triacontahedron given Total Surface Area?

Volume of Rhombic Triacontahedron given Total Surface Area evaluator uses Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))) to evaluate the Volume of Rhombic Triacontahedron, Volume of Rhombic Triacontahedron given Total Surface Area formula is defined as the quantity of three dimensional space enclosed by the entire surface of Rhombic Triacontahedron, calculated using total surface area of Rhombic Triacontahedron. Volume of Rhombic Triacontahedron is denoted by V symbol.

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

FAQs on Volume of Rhombic Triacontahedron given Total Surface Area

What is the formula to find Volume of Rhombic Triacontahedron given Total Surface Area?

The formula of Volume of Rhombic Triacontahedron given Total Surface Area is expressed as Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))). Here is an example- 12425.97 = 4*(2700/(12*sqrt(5)))^(3/2)*sqrt(5+(2*sqrt(5))).

How to calculate Volume of Rhombic Triacontahedron given Total Surface Area?

With Total Surface Area of Rhombic Triacontahedron (TSA) we can find Volume of Rhombic Triacontahedron given Total Surface Area using the formula - Volume of Rhombic Triacontahedron = 4*(Total Surface Area of Rhombic Triacontahedron/(12*sqrt(5)))^(3/2)*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*((5*Midsphere Radius of Rhombic Triacontahedron)/(5+sqrt(5)))^3*sqrt(5+(2*sqrt(5)))
Volume of Rhombic Triacontahedron=4*(Insphere Radius of Rhombic Triacontahedron/sqrt((5+(2*sqrt(5)))/5))^3*sqrt(5+(2*sqrt(5)))

Can the Volume of Rhombic Triacontahedron given Total Surface Area be negative?

No, the Volume of Rhombic Triacontahedron given Total Surface Area, measured in Volume cannot be negative.

Which unit is used to measure Volume of Rhombic Triacontahedron given Total Surface Area?

Volume of Rhombic Triacontahedron 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 Rhombic Triacontahedron given Total Surface Area can be measured.

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