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Volume of Pentagonal Pyramid Formula

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

V Pentagon = \frac{5}{12} \cdot \tan (54 \cdot \frac{π}{180}) \cdot h Pentagon \cdot {l e(Base)Pentagon}^{2}

V_Pentagon - Volume of Pentagonal Pyramid?h_Pentagon - Height of Pentagonal Pyramid?l_{e(Base)Pentagon} - Edge Length of Base of Pentagonal Pyramid?π - Archimedes' constant?

Volume of Pentagonal Pyramid Example

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

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

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

860.2387 = \frac{5}{12} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 15 \cdot 10^{2}

860.2387m³ = \frac{5}{12} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 15m \cdot {10m}^{2}

860.2387 = \frac{5}{12} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 15 \cdot 10^{2}

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Volume of Pentagonal Pyramid Solution

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

FIRST Step Consider the formula

V Pentagon = \frac{5}{12} \cdot \tan (54 \cdot \frac{π}{180}) \cdot h Pentagon \cdot {l e(Base)Pentagon}^{2}

Next Step Substitute values of Variables

∴

V Pentagon = \frac{5}{12} \cdot \tan (54 \cdot \frac{π}{180}) \cdot 15m \cdot {10m}^{2}

Next Step Substitute values of Constants

∴

V Pentagon = \frac{5}{12} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 15m \cdot {10m}^{2}

Next Step Prepare to Evaluate

∴

V Pentagon = \frac{5}{12} \cdot \tan (54 \cdot \frac{3.1416}{180}) \cdot 15 \cdot 10^{2}

Next Step Evaluate

∴

V Pentagon = 860.238700294483m³

LAST Step Rounding Answer

∴

V Pentagon = 860.2387m³

Volume of Pentagonal Pyramid Formula Elements

Variables

Constants

Functions

Volume of Pentagonal Pyramid

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

Symbol: V_Pentagon

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Pentagonal Pyramid

Height of Pentagonal Pyramid

Height of Pentagonal Pyramid is the length of the perpendicular from the apex to the base of the Pentagonal Pyramid.

Symbol: h_Pentagon

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Pentagonal Pyramid

Edge Length of Base of Pentagonal Pyramid

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

Symbol: l_{e(Base)Pentagon}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Base of Pentagonal Pyramid

Archimedes' constant

Archimedes' constant is a mathematical constant that represents the ratio of the circumference of a circle to its diameter.

Symbol: π

Value: 3.14159265358979323846264338327950288

tan

The tangent of an angle is a trigonometric ratio of the length of the side opposite an angle to the length of the side adjacent to an angle in a right triangle.

Syntax: tan(Angle)

Other formulas in Pentagonal Pyramid category

Go Total Surface Area of Pentagonal Pyramid

TSA Pentagon = (\frac{5}{2} \cdot l e(Base)Pentagon \cdot h slant(Pentagon)) + (\frac{5}{4} \cdot \tan (54 \cdot \frac{π}{180}) \cdot {l e(Base)Pentagon}^{2})

Go Lateral Surface Area of Pentagonal Pyramid

LSA Pentagon = \frac{5}{2} \cdot l e(Base)Pentagon \cdot h slant(Pentagon)

Go Base Area of Pentagonal Pyramid

A Base(Pentagon) = \frac{1}{4} \cdot \sqrt{5 \cdot (5 + (2 \cdot \sqrt{5}))} \cdot {l e(Base)Pentagon}^{2}

How to Evaluate Volume of Pentagonal Pyramid?

Volume of Pentagonal Pyramid evaluator uses Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2 to evaluate the Volume of Pentagonal Pyramid, Volume of Pentagonal Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Pentagonal Pyramid. Volume of Pentagonal Pyramid is denoted by V_Pentagon symbol.

How to evaluate Volume of Pentagonal Pyramid using this online evaluator? To use this online evaluator for Volume of Pentagonal Pyramid, enter Height of Pentagonal Pyramid (h_Pentagon) & Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}) and hit the calculate button.

FAQs on Volume of Pentagonal Pyramid

What is the formula to find Volume of Pentagonal Pyramid?

The formula of Volume of Pentagonal Pyramid is expressed as Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2. Here is an example- 860.2387 = 5/12*tan(54*pi/180)*15*10^2.

How to calculate Volume of Pentagonal Pyramid?

With Height of Pentagonal Pyramid (h_Pentagon) & Edge Length of Base of Pentagonal Pyramid (l_{e(Base)Pentagon}) we can find Volume of Pentagonal Pyramid using the formula - Volume of Pentagonal Pyramid = 5/12*tan(54*pi/180)*Height of Pentagonal Pyramid*Edge Length of Base of Pentagonal Pyramid^2. This formula also uses Archimedes' constant and Tangent (tan) function(s).

Can the Volume of Pentagonal Pyramid be negative?

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

Which unit is used to measure Volume of Pentagonal Pyramid?

Volume of Pentagonal Pyramid 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 Pyramid can be measured.

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Volume of Pentagonal Pyramid Formula

Volume of Pentagonal Pyramid Example

Volume of Pentagonal Pyramid Solution

Volume of Pentagonal Pyramid Formula Elements

Other formulas in Pentagonal Pyramid category

How to Evaluate Volume of Pentagonal Pyramid?

FAQs on Volume of Pentagonal Pyramid

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