FormulaDen.com

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

Volume of Truncated Icosidodecahedron given Midsphere Radius Formula

GoVolume of Truncated Icosidodecahedron Formula

GoVolume of Truncated Icosidodecahedron given Total Surface Area Formula

Fx Copy

LaTeX Copy

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

V = 5 \cdot {(\frac{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

V - Volume of Truncated Icosidodecahedron?r_m - Midsphere Radius of Truncated Icosidodecahedron?

Volume of Truncated Icosidodecahedron given Midsphere Radius Example

With values

With units

Only example

Here is how the Volume of Truncated Icosidodecahedron given Midsphere Radius equation looks like with Values.

Here is how the Volume of Truncated Icosidodecahedron given Midsphere Radius equation looks like with Units.

Here is how the Volume of Truncated Icosidodecahedron given Midsphere Radius equation looks like.

195593.3439 = 5 \cdot {(\frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

195593.3439m³ = 5 \cdot {(\frac{2 \cdot 37m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

195593.3439 = 5 \cdot {(\frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

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 Icosidodecahedron given Midsphere Radius

Volume of Truncated Icosidodecahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Volume of Truncated Icosidodecahedron given Midsphere Radius?

FIRST Step Consider the formula

V = 5 \cdot {(\frac{2 \cdot r m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Substitute values of Variables

∴

V = 5 \cdot {(\frac{2 \cdot 37m}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Prepare to Evaluate

∴

V = 5 \cdot {(\frac{2 \cdot 37}{\sqrt{30 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Next Step Evaluate

∴

V = 195593.343876297m³

LAST Step Rounding Answer

∴

V = 195593.3439m³

Volume of Truncated Icosidodecahedron given Midsphere Radius Formula Elements

Variables

Functions

Volume of Truncated Icosidodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron

Midsphere Radius of Truncated Icosidodecahedron is the radius of the sphere for which all the edges of the Truncated Icosidodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Truncated Icosidodecahedron

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 Icosidodecahedron

Go Volume of Truncated Icosidodecahedron

V = 5 \cdot {l e}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Total Surface Area

V = 5 \cdot ({\sqrt{\frac{TSA}{30 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}}}^{3}) \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Circumsphere Radius

V = 5 \cdot {(\frac{2 \cdot r c}{\sqrt{31 + (12 \cdot \sqrt{5})}})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

Go Volume of Truncated Icosidodecahedron given Surface to Volume Ratio

V = 5 \cdot {(\frac{6 \cdot (1 + \sqrt{3} + \sqrt{5 + (2 \cdot \sqrt{5})})}{R A/V \cdot (19 + (10 \cdot \sqrt{5}))})}^{3} \cdot (19 + (10 \cdot \sqrt{5}))

How to Evaluate Volume of Truncated Icosidodecahedron given Midsphere Radius?

Volume of Truncated Icosidodecahedron given Midsphere Radius evaluator uses Volume of Truncated Icosidodecahedron = 5*((2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))))^3*(19+(10*sqrt(5))) to evaluate the Volume of Truncated Icosidodecahedron, Volume of Truncated Icosidodecahedron given Midsphere Radius formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Icosidodecahedron, and calculated using the midsphere radius of the Truncated Icosidodecahedron. Volume of Truncated Icosidodecahedron is denoted by V symbol.

How to evaluate Volume of Truncated Icosidodecahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Volume of Truncated Icosidodecahedron given Midsphere Radius, enter Midsphere Radius of Truncated Icosidodecahedron (r_m) and hit the calculate button.

FAQs on Volume of Truncated Icosidodecahedron given Midsphere Radius

What is the formula to find Volume of Truncated Icosidodecahedron given Midsphere Radius?

The formula of Volume of Truncated Icosidodecahedron given Midsphere Radius is expressed as Volume of Truncated Icosidodecahedron = 5*((2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))))^3*(19+(10*sqrt(5))). Here is an example- 195593.3 = 5*((2*37)/(sqrt(30+(12*sqrt(5)))))^3*(19+(10*sqrt(5))).

How to calculate Volume of Truncated Icosidodecahedron given Midsphere Radius?

With Midsphere Radius of Truncated Icosidodecahedron (r_m) we can find Volume of Truncated Icosidodecahedron given Midsphere Radius using the formula - Volume of Truncated Icosidodecahedron = 5*((2*Midsphere Radius of Truncated Icosidodecahedron)/(sqrt(30+(12*sqrt(5)))))^3*(19+(10*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Truncated Icosidodecahedron=5*Edge Length of Truncated Icosidodecahedron^3*(19+(10*sqrt(5)))
Volume of Truncated Icosidodecahedron=5*(sqrt(Total Surface Area of Truncated Icosidodecahedron/(30*(1+sqrt(3)+sqrt(5+(2*sqrt(5))))))^3)*(19+(10*sqrt(5)))
Volume of Truncated Icosidodecahedron=5*((2*Circumsphere Radius of Truncated Icosidodecahedron)/(sqrt(31+(12*sqrt(5)))))^3*(19+(10*sqrt(5)))

Can the Volume of Truncated Icosidodecahedron given Midsphere Radius be negative?

No, the Volume of Truncated Icosidodecahedron given Midsphere Radius, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Icosidodecahedron given Midsphere Radius?

Volume of Truncated Icosidodecahedron given Midsphere 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 Truncated Icosidodecahedron given Midsphere Radius can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit