FormulaDen.com

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

Volume of Icosahedron given Perimeter Formula

GoVolume of Icosahedron given Total Surface Area Formula

GoVolume of Icosahedron Formula

Fx Copy

LaTeX Copy

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

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{P}{30})}^{3}

V - Volume of Icosahedron?P - Perimeter of Icosahedron?

Volume of Icosahedron given Perimeter Example

With values

With units

Only example

Here is how the Volume of Icosahedron given Perimeter equation looks like with Values.

Here is how the Volume of Icosahedron given Perimeter equation looks like with Units.

Here is how the Volume of Icosahedron given Perimeter equation looks like.

2181.695 = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{300}{30})}^{3}

2181.695m³ = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{300m}{30})}^{3}

2181.695 = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{300}{30})}^{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 Icosahedron given Perimeter

Volume of Icosahedron given Perimeter Solution

Follow our step by step solution on how to calculate Volume of Icosahedron given Perimeter?

FIRST Step Consider the formula

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{P}{30})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{300m}{30})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{300}{30})}^{3}

Next Step Evaluate

∴

V = 2181.69499062491m³

LAST Step Rounding Answer

∴

V = 2181.695m³

Volume of Icosahedron given Perimeter Formula Elements

Variables

Functions

Volume of Icosahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Icosahedron

Perimeter of Icosahedron

Perimeter of Icosahedron is the sum of the total distance around all the edges of the Icosahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of 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 Icosahedron

Go Volume of Icosahedron given Total Surface Area

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

Go Volume of Icosahedron

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {l e}^{3}

Go Volume of Icosahedron given Circumsphere Radius

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{4 \cdot r c}{\sqrt{10 + (2 \cdot \sqrt{5})}})}^{3}

Go Volume of Icosahedron given Insphere Radius

V = \frac{5}{12} \cdot (3 + \sqrt{5}) \cdot {(\frac{12 \cdot r i}{\sqrt{3} \cdot (3 + \sqrt{5})})}^{3}

How to Evaluate Volume of Icosahedron given Perimeter?

Volume of Icosahedron given Perimeter evaluator uses Volume of Icosahedron = 5/12*(3+sqrt(5))*(Perimeter of Icosahedron/30)^3 to evaluate the Volume of Icosahedron, The Volume of Icosahedron given Perimeter formula is defined as the total quantity of three dimensional space enclosed by the surface of the Icosahedron, and calculated using the perimeter of the Icosahedron. Volume of Icosahedron is denoted by V symbol.

How to evaluate Volume of Icosahedron given Perimeter using this online evaluator? To use this online evaluator for Volume of Icosahedron given Perimeter, enter Perimeter of Icosahedron (P) and hit the calculate button.

FAQs on Volume of Icosahedron given Perimeter

What is the formula to find Volume of Icosahedron given Perimeter?

The formula of Volume of Icosahedron given Perimeter is expressed as Volume of Icosahedron = 5/12*(3+sqrt(5))*(Perimeter of Icosahedron/30)^3. Here is an example- 2181.695 = 5/12*(3+sqrt(5))*(300/30)^3.

How to calculate Volume of Icosahedron given Perimeter?

With Perimeter of Icosahedron (P) we can find Volume of Icosahedron given Perimeter using the formula - Volume of Icosahedron = 5/12*(3+sqrt(5))*(Perimeter of Icosahedron/30)^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Icosahedron?

Here are the different ways to Calculate Volume of Icosahedron-

Volume of Icosahedron=(3+sqrt(5))/(12*sqrt(5))*(Total Surface Area of Icosahedron/sqrt(3))^(3/2)
Volume of Icosahedron=5/12*(3+sqrt(5))*Edge Length of Icosahedron^3
Volume of Icosahedron=5/12*(3+sqrt(5))*((4*Circumsphere Radius of Icosahedron)/(sqrt(10+(2*sqrt(5)))))^3

Can the Volume of Icosahedron given Perimeter be negative?

No, the Volume of Icosahedron given Perimeter, measured in Volume cannot be negative.

Which unit is used to measure Volume of Icosahedron given Perimeter?

Volume of Icosahedron given Perimeter 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 Icosahedron given Perimeter can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit