Pyramidal Height of Small Stellated Dodecahedron Calculator

✖Edge Length of Small Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron.ⓘ Edge Length of Small Stellated Dodecahedron [l_e]

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Pyramidal Height of Small Stellated Dodecahedron Solution

STEP 0: Pre-Calculation Summary

Formula Used

Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron
h_Pyramid = ((sqrt(25+10*sqrt(5)))/5)*l_e
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 Small Stellated Dodecahedron - (Measured in Meter) - Pyramidal Height of Small Stellated Dodecahedron is the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron.
Edge Length of Small Stellated Dodecahedron - (Measured in Meter) - Edge Length of Small Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Small Stellated Dodecahedron: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

h_Pyramid = ((sqrt(25+10*sqrt(5)))/5)*l_e --> ((sqrt(25+10*sqrt(5)))/5)*10

Evaluating ... ...

h_Pyramid = 13.7638192047117

STEP 3: Convert Result to Output's Unit

13.7638192047117 Meter --> No Conversion Required

FINAL ANSWER

13.7638192047117 ≈ 13.76382 Meter <-- Pyramidal Height of Small Stellated Dodecahedron

(Calculation completed in 00.004 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Small Stellated Dodecahedron » Pyramidal Height of Small Stellated Dodecahedron » Pyramidal Height of Small Stellated Dodecahedron

Credits

Created by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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

Verified by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has verified this Calculator and 1800+ more calculators!

< Pyramidal Height of Small Stellated Dodecahedron Calculators

Pyramidal Height of Small Stellated Dodecahedron given Circumradius

LaTeX Go Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

Pyramidal Height of Small Stellated Dodecahedron given Ridge Length

LaTeX Go Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))

Pyramidal Height of Small Stellated Dodecahedron given Pentagram Chord

LaTeX Go Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))

Pyramidal Height of Small Stellated Dodecahedron

LaTeX Go Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron

Pyramidal Height of Small Stellated Dodecahedron Formula

LaTeX Go

Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron
h_Pyramid = ((sqrt(25+10*sqrt(5)))/5)*l_e

What is Small Stellated Dodecahedron?

The Small Stellated Dodecahedron is a Kepler-Poinsot polyhedron, named by Arthur Cayley, and with Schläfli symbol {5⁄2,5}. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagrammic faces, with five pentagrams meeting at each vertex.

How to Calculate Pyramidal Height of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron calculator uses Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron to calculate the Pyramidal Height of Small Stellated Dodecahedron, Pyramidal Height of Small Stellated Dodecahedron formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron. Pyramidal Height of Small Stellated Dodecahedron is denoted by h_Pyramid symbol.

How to calculate Pyramidal Height of Small Stellated Dodecahedron using this online calculator? To use this online calculator for Pyramidal Height of Small Stellated Dodecahedron, enter Edge Length of Small Stellated Dodecahedron (l_e) and hit the calculate button. Here is how the Pyramidal Height of Small Stellated Dodecahedron calculation can be explained with given input values -> 13.76382 = ((sqrt(25+10*sqrt(5)))/5)*10.

FAQ

What is Pyramidal Height of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron and is represented as h_Pyramid = ((sqrt(25+10*sqrt(5)))/5)*l_e or Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron. Edge Length of Small Stellated Dodecahedron is the distance between any pair of adjacent peak vertices of the Small Stellated Dodecahedron.

How to calculate Pyramidal Height of Small Stellated Dodecahedron?

Pyramidal Height of Small Stellated Dodecahedron formula is defined as the height of any of the inwards directed tetrahedral pyramids of the Small Stellated Dodecahedron is calculated using Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*Edge Length of Small Stellated Dodecahedron. To calculate Pyramidal Height of Small Stellated Dodecahedron, you need Edge Length of Small Stellated Dodecahedron (l_e). With our tool, you need to enter the respective value for Edge Length of Small 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 Small Stellated Dodecahedron?

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

Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))
Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*(Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))
Pyramidal Height of Small Stellated Dodecahedron = ((sqrt(25+10*sqrt(5)))/5)*((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))

Home

FREE PDFs

🔍 Search