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Volume of Dodecahedron given Perimeter Formula

GoVolume of Dodecahedron Formula

GoVolume of Dodecahedron given Circumsphere Radius Formula

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

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{P}{30})}^{3}

V - Volume of Dodecahedron?P - Perimeter of Dodecahedron?

Volume of Dodecahedron given Perimeter Example

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

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

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

7663.119 = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{300}{30})}^{3}

7663.119m³ = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{300m}{30})}^{3}

7663.119 = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{300}{30})}^{3}

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Volume of Dodecahedron given Perimeter Solution

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

FIRST Step Consider the formula

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{P}{30})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{300m}{30})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{300}{30})}^{3}

Next Step Evaluate

∴

V = 7663.11896062463m³

LAST Step Rounding Answer

∴

V = 7663.119m³

Volume of Dodecahedron given Perimeter Formula Elements

Variables

Functions

Volume of Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Dodecahedron

Perimeter of Dodecahedron

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

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter of Dodecahedron

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 Dodecahedron

Go Volume of Dodecahedron

V = \frac{(15 + (7 \cdot \sqrt{5})) \cdot {l e}^{3}}{4}

Go Volume of Dodecahedron given Circumsphere Radius

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{4 \cdot r c}{\sqrt{3} \cdot (1 + \sqrt{5})})}^{3}

Go Volume of Dodecahedron given Lateral Surface Area

V = \frac{1}{4} \cdot (15 + (7 \cdot \sqrt{5})) \cdot {(\frac{2 \cdot LSA}{5 \cdot \sqrt{25 + (10 \cdot \sqrt{5})}})}^{\frac{3}{2}}

How to Evaluate Volume of Dodecahedron given Perimeter?

Volume of Dodecahedron given Perimeter evaluator uses Volume of Dodecahedron = 1/4*(15+(7*sqrt(5)))*(Perimeter of Dodecahedron/30)^3 to evaluate the Volume of Dodecahedron, The Volume of Dodecahedron given Perimeter formula is defined as the total quantity of three dimensional space enclosed by the surface of the Dodecahedron, and calculated using the perimeter of the Dodecahedron. Volume of Dodecahedron is denoted by V symbol.

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

FAQs on Volume of Dodecahedron given Perimeter

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

The formula of Volume of Dodecahedron given Perimeter is expressed as Volume of Dodecahedron = 1/4*(15+(7*sqrt(5)))*(Perimeter of Dodecahedron/30)^3. Here is an example- 7663.119 = 1/4*(15+(7*sqrt(5)))*(300/30)^3.

How to calculate Volume of Dodecahedron given Perimeter?

With Perimeter of Dodecahedron (P) we can find Volume of Dodecahedron given Perimeter using the formula - Volume of Dodecahedron = 1/4*(15+(7*sqrt(5)))*(Perimeter of Dodecahedron/30)^3. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Dodecahedron?

Here are the different ways to Calculate Volume of Dodecahedron-

Volume of Dodecahedron=((15+(7*sqrt(5)))*Edge Length of Dodecahedron^3)/4
Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*((4*Circumsphere Radius of Dodecahedron)/(sqrt(3)*(1+sqrt(5))))^3
Volume of Dodecahedron=1/4*(15+(7*sqrt(5)))*((2*Lateral Surface Area of Dodecahedron)/(5*sqrt(25+(10*sqrt(5)))))^(3/2)

Can the Volume of Dodecahedron given Perimeter be negative?

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

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

Volume of Dodecahedron 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 Dodecahedron given Perimeter can be measured.

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