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Height of Star Pyramid given Volume Formula

GoHeight of Star Pyramid given Lateral Edge Length Formula

GoHeight of Star Pyramid given Ridge Length Formula

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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. Check FAQs

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

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

Height of Star Pyramid given Volume Example

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

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

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

7.3864 = \frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 10^{2}}

7.3864m = \frac{6 \cdot 200m³}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot {10m}^{2}}

7.3864 = \frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 10^{2}}

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Height of Star Pyramid given Volume Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{6 \cdot 200m³}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot {10m}^{2}}

Next Step Prepare to Evaluate

∴

h = \frac{6 \cdot 200}{\sqrt{5 \cdot (5 - (2 \cdot \sqrt{5}))} \cdot 10^{2}}

Next Step Evaluate

∴

h = 7.38644048922061m

LAST Step Rounding Answer

∴

h = 7.3864m

Height of Star Pyramid given Volume Formula Elements

Variables

Functions

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

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

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 Height of Star Pyramid

Go Height of Star Pyramid given Lateral Edge Length

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

Go Height of Star Pyramid given Ridge Length

h = \sqrt{{(l e(Ridge))}^{2} - (\frac{{l e(Pentagon)}^{2}}{100} \cdot (50 + 10 \cdot \sqrt{5}))}

How to Evaluate Height of Star Pyramid given Volume?

Height of Star Pyramid given Volume evaluator uses Height of Star Pyramid = (6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Chord Length of Star Pyramid^2) to evaluate the Height of Star Pyramid, Height of Star Pyramid given Volume formula is defined as the length of the perpendicular from the apex of the Star Pyramid, where the five spikes meet to the base of the Star Pyramid and is calculated using the volume and chord length of the Star Pyramid. Height of Star Pyramid is denoted by h symbol.

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

FAQs on Height of Star Pyramid given Volume

What is the formula to find Height of Star Pyramid given Volume?

The formula of Height of Star Pyramid given Volume is expressed as Height of Star Pyramid = (6*Volume of Star Pyramid)/(sqrt(5*(5-(2*sqrt(5))))*Chord Length of Star Pyramid^2). Here is an example- 7.38644 = (6*200)/(sqrt(5*(5-(2*sqrt(5))))*10^2).

How to calculate Height of Star Pyramid given Volume?

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

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

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

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

Can the Height of Star Pyramid given Volume be negative?

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

Which unit is used to measure Height of Star Pyramid given Volume?

Height of Star Pyramid given Volume is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Star Pyramid given Volume can be measured.

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Height of Star Pyramid given Volume Formula

​GoHeight of Star Pyramid given Lateral Edge Length Formula

​GoHeight of Star Pyramid given Ridge Length Formula

Height of Star Pyramid given Volume Example

Height of Star Pyramid given Volume Solution

Height of Star Pyramid given Volume Formula Elements

Other Formulas to find Height of Star Pyramid

How to Evaluate Height of Star Pyramid given Volume?

FAQs on Height of Star Pyramid given Volume

Variable Name

GoHeight of Star Pyramid given Lateral Edge Length Formula

GoHeight of Star Pyramid given Ridge Length Formula