FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Truncated Icosahedron given Total Surface Area Formula

GoVolume of Truncated Icosahedron Formula

Fx Copy

LaTeX Copy

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

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

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

Volume of Truncated Icosahedron given Total Surface Area Example

With values

With units

Only example

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

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

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

55736.9302 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7300}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

55736.9302m³ = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7300m²}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

55736.9302 = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7300}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Truncated Icosahedron given Total Surface Area

Volume of Truncated Icosahedron given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{TSA}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7300m²}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {(\sqrt{\frac{7300}{3 \cdot ((10 \cdot \sqrt{3}) + \sqrt{25 + (10 \cdot \sqrt{5})})}})}^{3}

Next Step Evaluate

∴

V = 55736.9302208168m³

LAST Step Rounding Answer

∴

V = 55736.9302m³

Volume of Truncated Icosahedron given Total Surface Area Formula Elements

Variables

Functions

Volume of Truncated Icosahedron

Volume of Truncated Icosahedron is the total quantity of three dimensional space enclosed by the surface of the Truncated Icosahedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Icosahedron

Total Surface Area of Truncated Icosahedron

Total Surface Area of Truncated Icosahedron is the total quantity of plane enclosed by the entire surface of the Truncated Icosahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Truncated Icosahedron

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 Icosahedron

Go Volume of Truncated Icosahedron

V = \frac{125 + (43 \cdot \sqrt{5})}{4} \cdot {l e}^{3}

Other formulas in Important Formulas of Truncated Icosahedron category

Go Edge Length of Truncated Icosahedron given Circumsphere Radius

l e = \frac{4 \cdot r c}{\sqrt{58 + (18 \cdot \sqrt{5})}}

Go Edge Length of Truncated Icosahedron given Midsphere Radius

l e = \frac{4 \cdot r m}{3 \cdot (1 + \sqrt{5})}

Go Edge Length of Truncated Icosahedron given Volume

l e = {(\frac{4 \cdot V}{125 + (43 \cdot \sqrt{5})})}^{\frac{1}{3}}

Go Icosahedral Edge Length of Truncated Icosahedron

l e(Icosahedron) = 3 \cdot l e

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

Volume of Truncated Icosahedron given Total Surface Area evaluator uses Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))))^3 to evaluate the Volume of Truncated Icosahedron, Volume of Truncated Icosahedron given Total Surface Area formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosahedron, and calculated using the total surface area of the Truncated Icosahedron. Volume of Truncated Icosahedron is denoted by V symbol.

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

FAQs on Volume of Truncated Icosahedron given Total Surface Area

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

The formula of Volume of Truncated Icosahedron given Total Surface Area is expressed as Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))))^3. Here is an example- 55736.93 = (125+(43*sqrt(5)))/4*(sqrt(7300/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))))^3.

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

With Total Surface Area of Truncated Icosahedron (TSA) we can find Volume of Truncated Icosahedron given Total Surface Area using the formula - Volume of Truncated Icosahedron = (125+(43*sqrt(5)))/4*(sqrt(Total Surface Area of Truncated Icosahedron/(3*((10*sqrt(3))+sqrt(25+(10*sqrt(5)))))))^3. This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Truncated Icosahedron=(125+(43*sqrt(5)))/4*Edge Length of Truncated Icosahedron^3

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

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

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

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit