Pyramidal Height of Great Stellated Dodecahedron given Volume Calculator

✖Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.ⓘ Volume of Great Stellated Dodecahedron [V]

+10%

-10%

✖Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.ⓘ Pyramidal Height of Great Stellated Dodecahedron given Volume [h_Pyramid]

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Pyramidal Height of Great Stellated Dodecahedron given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3)
h_Pyramid = (sqrt(3)*(3+sqrt(5)))/6*((4*V)/(5*(3+sqrt(5))))^(1/3)
This formula uses 1 Functions, 2 Variables

Functions Used

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., sqrt(Number)

Variables Used

Pyramidal Height of Great Stellated Dodecahedron - (Measured in Meter) - Pyramidal Height of Great Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Great Stellated Dodecahedron.
Volume of Great Stellated Dodecahedron - (Measured in Cubic Meter) - Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Volume of Great Stellated Dodecahedron: 6550 Cubic Meter --> 6550 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Pyramid = (sqrt(3)*(3+sqrt(5)))/6*((4*V)/(5*(3+sqrt(5))))^(1/3) --> (sqrt(3)*(3+sqrt(5)))/6*((4*6550)/(5*(3+sqrt(5))))^(1/3)

Evaluating ... ...

h_Pyramid = 15.1190089252382

STEP 3: Convert Result to Output's Unit

15.1190089252382 Meter --> No Conversion Required

FINAL ANSWER

15.1190089252382 ≈ 15.11901 Meter <-- Pyramidal Height of Great Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Great Stellated Dodecahedron » Pyramidal Height of Great Stellated Dodecahedron » Pyramidal Height of Great Stellated Dodecahedron given Volume

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has created this Calculator and 2500+ more calculators!

Verified by Mridul Sharma

Indian Institute of Information Technology (IIIT), Bhopal

Mridul Sharma has verified this Calculator and 1700+ more calculators!

< Pyramidal Height of Great Stellated Dodecahedron Calculators

Pyramidal Height of Great Stellated Dodecahedron given Total Surface Area

LaTeX Go Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*sqrt(Total Surface Area of Great Stellated Dodecahedron/(15*sqrt(5+(2*sqrt(5)))))

Pyramidal Height of Great Stellated Dodecahedron given Ridge Length

LaTeX Go 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 given Pentagram Chord

LaTeX Go Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*Pentagram Chord of Great Stellated Dodecahedron/(2+sqrt(5))

Pyramidal Height of Great Stellated Dodecahedron

LaTeX Go Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*Edge Length of Great Stellated Dodecahedron

Pyramidal Height of Great Stellated Dodecahedron given Volume Formula

LaTeX Go

What is Great Stellated Dodecahedron?

The Great Stellated Dodecahedron is a Kepler-Poinsot polyhedron, with Schläfli symbol {⁵⁄₂,3}. It is one of four nonconvex regular polyhedra. It is composed of 12 intersecting pentagrammic faces, with three pentagrams meeting at each vertex.

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

Pyramidal Height of Great Stellated Dodecahedron given Volume calculator 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 calculate 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 calculate Pyramidal Height of Great Stellated Dodecahedron given Volume using this online calculator? To use this online calculator for Pyramidal Height of Great Stellated Dodecahedron given Volume, enter Volume of Great Stellated Dodecahedron (V) and hit the calculate button. Here is how the Pyramidal Height of Great Stellated Dodecahedron given Volume calculation can be explained with given input values -> 15.11901 = (sqrt(3)*(3+sqrt(5)))/6*((4*6550)/(5*(3+sqrt(5))))^(1/3).

FAQ

What is Pyramidal Height of Great Stellated Dodecahedron given Volume?

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 and is represented as h_Pyramid = (sqrt(3)*(3+sqrt(5)))/6*((4*V)/(5*(3+sqrt(5))))^(1/3) or Pyramidal Height of Great Stellated Dodecahedron = (sqrt(3)*(3+sqrt(5)))/6*((4*Volume of Great Stellated Dodecahedron)/(5*(3+sqrt(5))))^(1/3). Volume of Great Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Great Stellated Dodecahedron.

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

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 is calculated using 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 calculate Pyramidal Height of Great Stellated Dodecahedron given Volume, you need Volume of Great Stellated Dodecahedron (V). With our tool, you need to enter the respective value for Volume of Great Stellated Dodecahedron and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Pyramidal Height of Great Stellated Dodecahedron?

In this formula, Pyramidal Height of Great Stellated Dodecahedron uses Volume of Great Stellated Dodecahedron. We can use 3 other way(s) to calculate the same, which is/are as follows -

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))

Home

FREE PDFs

🔍 Search