FormulaDen.com

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

Pyramidal Height of Great Stellated Dodecahedron given Volume Formula

GoPyramidal Height of Great Stellated Dodecahedron Formula

GoPyramidal Height of Great Stellated Dodecahedron given Ridge Length Formula

Fx Copy

LaTeX Copy

Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron. Check FAQs

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

h_Pyramid - Pyramidal Height of Great Stellated Dodecahedron?V - Volume of Great Stellated Dodecahedron?

Pyramidal Height of Great Stellated Dodecahedron given Volume Example

With values

With units

Only example

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Volume equation looks like with Values.

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Volume equation looks like with Units.

Here is how the Pyramidal Height of Great Stellated Dodecahedron given Volume equation looks like.

15.119 = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

15.119m = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

15.119 = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

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 Pyramidal Height of Great Stellated Dodecahedron given Volume

Pyramidal Height of Great Stellated Dodecahedron given Volume Solution

Follow our step by step solution on how to calculate Pyramidal Height of Great Stellated Dodecahedron given Volume?

FIRST Step Consider the formula

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot V}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Substitute values of Variables

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot 6550m³}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Prepare to Evaluate

∴

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot {(\frac{4 \cdot 6550}{5 \cdot (3 + \sqrt{5})})}^{\frac{1}{3}}

Next Step Evaluate

∴

h Pyramid = 15.1190089252382m

LAST Step Rounding Answer

∴

h Pyramid = 15.119m

Pyramidal Height of Great Stellated Dodecahedron given Volume Formula Elements

Variables

Functions

Pyramidal Height of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.

Symbol: h_Pyramid

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Pyramidal Height of Great Stellated Dodecahedron

Volume of Great Stellated Dodecahedron

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Great Stellated 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 Pyramidal Height of Great Stellated Dodecahedron

Go Pyramidal Height of Great Stellated Dodecahedron

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot l e

Go Pyramidal Height of Great Stellated Dodecahedron given Ridge Length

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{2 \cdot l Ridge}{1 + \sqrt{5}}

Go Pyramidal Height of Great Stellated Dodecahedron given Pentagram Chord

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \frac{l c(Pentagram)}{2 + \sqrt{5}}

Go Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

h Pyramid = \frac{\sqrt{3} \cdot (3 + \sqrt{5})}{6} \cdot \sqrt{\frac{TSA}{15 \cdot \sqrt{5 + (2 \cdot \sqrt{5})}}}

How to Evaluate Pyramidal Height of Great Stellated Dodecahedron given Volume?

Pyramidal Height of Great Stellated Dodecahedron given Volume evaluator uses Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3) to evaluate the Pyramidal Height of Great Stellated Dodecahedron, Pyramidal Height of Great Stellated Dodecahedron given Volume formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron, calculated using its volume. Pyramidal Height of Great Stellated Dodecahedron is denoted by h_Pyramid symbol.

How to evaluate Pyramidal Height of Great Stellated Dodecahedron given Volume using this online evaluator? To use this online evaluator for Pyramidal Height of Great Stellated Dodecahedron given Volume, enter Volume of Great Stellated Dodecahedron (V) and hit the calculate button.

FAQs on Pyramidal Height of Great Stellated Dodecahedron given Volume

What is the formula to find Pyramidal Height of Great Stellated Dodecahedron given Volume?

The formula of Pyramidal Height of Great Stellated Dodecahedron given Volume is expressed as Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). Here is an example- 15.11901 = (sqrt(3)*(3+sqrt(5)))/6*((4*6550)/(5*(3+sqrt(5))))^(1/3).

How to calculate Pyramidal Height of Great Stellated Dodecahedron given Volume?

With Volume of Great Stellated Dodecahedron (V) we can find Pyramidal Height of Great Stellated Dodecahedron given Volume using the formula - Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Pyramidal Height of Great Stellated Dodecahedron?

Here are the different ways to Calculate Pyramidal Height of Great Stellated Dodecahedron-

Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*Edge Length of Great Stellated Dodecahedron
Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*(2*Ridge Length of Great Stellated Dodecahedron)/(1+sqrt(5))
Pyramidal Height of Great Stellated Dodecahedron=(sqrt(3)*(3+sqrt(5)))/6*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Can the Pyramidal Height of Great Stellated Dodecahedron given Volume be negative?

No, the Pyramidal Height of Great Stellated Dodecahedron given Volume, measured in Length cannot be negative.

Which unit is used to measure Pyramidal Height of Great Stellated Dodecahedron given Volume?

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

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit