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Volume of Pentagonal Prism Formula

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The Volume of Pentagonal Prism is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Prism. Check FAQs

V = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {l e(Base)}^{2} \cdot h

V - Volume of Pentagonal Prism?l_e(Base) - Base Edge Length of Pentagonal Prism?h - Height of Pentagonal Prism?

Volume of Pentagonal Prism Example

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Here is how the Volume of Pentagonal Prism equation looks like with Values.

Here is how the Volume of Pentagonal Prism equation looks like with Units.

Here is how the Volume of Pentagonal Prism equation looks like.

2580.7161 = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot 10^{2} \cdot 15

2580.7161m³ = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {10m}^{2} \cdot 15m

2580.7161 = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot 10^{2} \cdot 15

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Volume of Pentagonal Prism Solution

Follow our step by step solution on how to calculate Volume of Pentagonal Prism?

FIRST Step Consider the formula

V = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {l e(Base)}^{2} \cdot h

Next Step Substitute values of Variables

∴

V = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {10m}^{2} \cdot 15m

Next Step Prepare to Evaluate

∴

V = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot 10^{2} \cdot 15

Next Step Evaluate

∴

V = 2580.71610088345m³

LAST Step Rounding Answer

∴

V = 2580.7161m³

Volume of Pentagonal Prism Formula Elements

Variables

Functions

Volume of Pentagonal Prism

The Volume of Pentagonal Prism is the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Prism.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Prism

Base Edge Length of Pentagonal Prism

The Base Edge Length of Pentagonal Prism is the length of the straight line connecting any two adjacent vertices of the base of the Pentagonal Prism.

Symbol: l_e(Base)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Edge Length of Pentagonal Prism

Height of Pentagonal Prism

The Height of Pentagonal Prism is the length of the straight line connecting any base vertex to the corresponding top vertex of the Pentagonal Prism.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Prism

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 in Pentagonal Prism category

Go Base Area of Pentagonal Prism

A Base = \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{4} \cdot {l e(Base)}^{2}

Go Lateral Surface Area of Pentagonal Prism

LSA = 5 \cdot l e(Base) \cdot h

Go Total Surface Area of Pentagonal Prism

TSA = (5 \cdot l e(Base) \cdot h) + \frac{\sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))}}{2} \cdot {l e(Base)}^{2}

How to Evaluate Volume of Pentagonal Prism?

Volume of Pentagonal Prism evaluator uses Volume of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2*Height of Pentagonal Prism to evaluate the Volume of Pentagonal Prism, The Volume of Pentagonal Prism formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Prism. Volume of Pentagonal Prism is denoted by V symbol.

How to evaluate Volume of Pentagonal Prism using this online evaluator? To use this online evaluator for Volume of Pentagonal Prism, enter Base Edge Length of Pentagonal Prism (l_e(Base)) & Height of Pentagonal Prism (h) and hit the calculate button.

FAQs on Volume of Pentagonal Prism

What is the formula to find Volume of Pentagonal Prism?

The formula of Volume of Pentagonal Prism is expressed as Volume of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2*Height of Pentagonal Prism. Here is an example- 2580.716 = sqrt(5*(5+(2*sqrt(5))))/4*10^2*15.

How to calculate Volume of Pentagonal Prism?

With Base Edge Length of Pentagonal Prism (l_e(Base)) & Height of Pentagonal Prism (h) we can find Volume of Pentagonal Prism using the formula - Volume of Pentagonal Prism = sqrt(5*(5+(2*sqrt(5))))/4*Base Edge Length of Pentagonal Prism^2*Height of Pentagonal Prism. This formula also uses Square Root (sqrt) function(s).

Can the Volume of Pentagonal Prism be negative?

No, the Volume of Pentagonal Prism, measured in Volume cannot be negative.

Which unit is used to measure Volume of Pentagonal Prism?

Volume of Pentagonal Prism 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 Pentagonal Prism can be measured.

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Volume of Pentagonal Prism Formula

Volume of Pentagonal Prism Example

Volume of Pentagonal Prism Solution

Volume of Pentagonal Prism Formula Elements

Other formulas in Pentagonal Prism category

How to Evaluate Volume of Pentagonal Prism?

FAQs on Volume of Pentagonal Prism

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