FormulaDen.com

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

Volume of Star Pyramid Formula

GoVolume of Star Pyramid given Pentagonal Edge Length of Base Formula

GoVolume of Star Pyramid given Edge Length of Base Formula

Fx Copy

LaTeX Copy

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

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{l c}^{2}}{6} \cdot h

V - Volume of Star Pyramid?l_c - Chord Length of Star Pyramid?h - Height of Star Pyramid?

Volume of Star Pyramid Example

With values

With units

Only example

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

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

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

189.5365 = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{10^{2}}{6} \cdot 7

189.5365m³ = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{10m}^{2}}{6} \cdot 7m

189.5365 = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{10^{2}}{6} \cdot 7

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 Star Pyramid

Volume of Star Pyramid Solution

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

FIRST Step Consider the formula

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{l c}^{2}}{6} \cdot h

Next Step Substitute values of Variables

∴

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{10m}^{2}}{6} \cdot 7m

Next Step Prepare to Evaluate

∴

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{10^{2}}{6} \cdot 7

Next Step Evaluate

∴

V = 189.536489469195m³

LAST Step Rounding Answer

∴

V = 189.5365m³

Volume of Star Pyramid Formula Elements

Variables

Functions

Volume of Star Pyramid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Star Pyramid

Chord Length of Star Pyramid

Chord Length of Star Pyramid is the length of the straight line joining two adjacent spike points or outer vertices of the base of the Star Pyramid.

Symbol: l_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Chord Length of Star Pyramid

Height of Star Pyramid

Height of Star Pyramid is the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Star Pyramid

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 Star Pyramid

Go Volume of Star Pyramid given Pentagonal Edge Length of Base

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{(l e(Pentagon) \cdot {[phi]}^{2})}^{2}}{6} \cdot h

Go Volume of Star Pyramid given Edge Length of Base

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{(l e(Base) \cdot [phi])}^{2}}{6} \cdot h

Go Volume of Star Pyramid given Lateral Edge Length

V = \sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{l c}^{2}}{6} \cdot \sqrt{{l e(Lateral)}^{2} - (\frac{{l c}^{2}}{100} \cdot (50 + (10 \cdot \sqrt{5})))}

Other formulas in Volume and Surface to Volume Ratio of Star Pyramid category

Go Surface to Volume Ratio of Star Pyramid

R A/V = \frac{(\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{l c}^{2}}{2}) + (10 \cdot \sqrt{(\frac{l e(Base) + l e(Lateral) + l e(Ridge)}{2}) \cdot (\frac{l e(Lateral) + l e(Ridge) - l e(Base)}{2}) \cdot (\frac{l e(Base) - l e(Lateral) + l e(Ridge)}{2}) \cdot (\frac{l e(Base) + l e(Lateral) - l e(Ridge)}{2})})}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot \frac{{l c}^{2}}{6} \cdot h}

How to Evaluate Volume of Star Pyramid?

Volume of Star Pyramid evaluator uses Volume of Star Pyramid = sqrt(5*(5-(2*sqrt(5))))*Chord Length of Star Pyramid^2/6*Height of Star Pyramid to evaluate the Volume of Star Pyramid, Volume of Star Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Star Pyramid. Volume of Star Pyramid is denoted by V symbol.

How to evaluate Volume of Star Pyramid using this online evaluator? To use this online evaluator for Volume of Star Pyramid, enter Chord Length of Star Pyramid (l_c) & Height of Star Pyramid (h) and hit the calculate button.

FAQs on Volume of Star Pyramid

What is the formula to find Volume of Star Pyramid?

The formula of Volume of Star Pyramid is expressed as Volume of Star Pyramid = sqrt(5*(5-(2*sqrt(5))))*Chord Length of Star Pyramid^2/6*Height of Star Pyramid. Here is an example- 189.5365 = sqrt(5*(5-(2*sqrt(5))))*10^2/6*7.

How to calculate Volume of Star Pyramid?

With Chord Length of Star Pyramid (l_c) & Height of Star Pyramid (h) we can find Volume of Star Pyramid using the formula - Volume of Star Pyramid = sqrt(5*(5-(2*sqrt(5))))*Chord Length of Star Pyramid^2/6*Height of Star Pyramid. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Star Pyramid?

Here are the different ways to Calculate Volume of Star Pyramid-

Volume of Star Pyramid=sqrt(5*(5-(2*sqrt(5))))*((Pentagonal Edge Length of Base of Star Pyramid*[phi]^2)^2)/6*Height of Star Pyramid
Volume of Star Pyramid=sqrt(5*(5-(2*sqrt(5))))*((Edge Length of Base of Star Pyramid*[phi])^2)/6*Height of Star Pyramid
Volume of Star Pyramid=sqrt(5*(5-(2*sqrt(5))))*Chord Length of Star Pyramid^2/6*sqrt(Lateral Edge Length of Star Pyramid^2-(Chord Length of Star Pyramid^2/100*(50+(10*sqrt(5)))))

Can the Volume of Star Pyramid be negative?

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

Which unit is used to measure Volume of Star Pyramid?

Volume of Star 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 Star Pyramid can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Volume of Star Pyramid Formula

​GoVolume of Star Pyramid given Pentagonal Edge Length of Base Formula

​GoVolume of Star Pyramid given Edge Length of Base Formula

Volume of Star Pyramid Example

Volume of Star Pyramid Solution

Volume of Star Pyramid Formula Elements

Other Formulas to find Volume of Star Pyramid

Other formulas in Volume and Surface to Volume Ratio of Star Pyramid category

How to Evaluate Volume of Star Pyramid?

FAQs on Volume of Star Pyramid

Variable Name

GoVolume of Star Pyramid given Pentagonal Edge Length of Base Formula

GoVolume of Star Pyramid given Edge Length of Base Formula