Volume of Small Stellated Dodecahedron given Pentagram Chord Calculator

✖Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.ⓘ Pentagram Chord of Small Stellated Dodecahedron [l_c(Pentagram)]

+10%

-10%

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

⎘ Copy

👎

Formula

LaTeX

Reset

👍

Download 3D Geometry Formula PDF PDF Image

Volume of Small Stellated Dodecahedron given Pentagram Chord Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)
V = ((5/4)*(7+3*sqrt(5)))*((l_c(Pentagram)/(2+sqrt(5)))^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

Volume of Small Stellated Dodecahedron - (Measured in Cubic Meter) - Volume of Small Stellated Dodecahedron is the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron.
Pentagram Chord of Small Stellated Dodecahedron - (Measured in Meter) - Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.

STEP 1: Convert Input(s) to Base Unit

Pentagram Chord of Small Stellated Dodecahedron: 42 Meter --> 42 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = ((5/4)*(7+3*sqrt(5)))*((l_c(Pentagram)/(2+sqrt(5)))^3) --> ((5/4)*(7+3*sqrt(5)))*((42/(2+sqrt(5)))^3)

Evaluating ... ...

V = 16701.2769812776

STEP 3: Convert Result to Output's Unit

16701.2769812776 Cubic Meter --> No Conversion Required

FINAL ANSWER

16701.2769812776 ≈ 16701.28 Cubic Meter <-- Volume of Small Stellated Dodecahedron

(Calculation completed in 00.006 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Small Stellated Dodecahedron » Volume of Small Stellated Dodecahedron » Volume of Small Stellated Dodecahedron given Pentagram Chord

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!

< Volume of Small Stellated Dodecahedron Calculators

Volume of Small Stellated Dodecahedron given Circumradius

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3)

Volume of Small Stellated Dodecahedron given Ridge Length

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)

Volume of Small Stellated Dodecahedron given Pentagram Chord

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)

Volume of Small Stellated Dodecahedron

LaTeX Go Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)

Volume of Small Stellated Dodecahedron given Pentagram Chord Formula

LaTeX Go

Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3)
V = ((5/4)*(7+3*sqrt(5)))*((l_c(Pentagram)/(2+sqrt(5)))^3)

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 Volume of Small Stellated Dodecahedron given Pentagram Chord?

Volume of Small Stellated Dodecahedron given Pentagram Chord calculator uses Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3) to calculate the Volume of Small Stellated Dodecahedron, Volume of Small Stellated Dodecahedron given Pentagram Chord formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its pentagram chord. Volume of Small Stellated Dodecahedron is denoted by V symbol.

How to calculate Volume of Small Stellated Dodecahedron given Pentagram Chord using this online calculator? To use this online calculator for Volume of Small Stellated Dodecahedron given Pentagram Chord, enter Pentagram Chord of Small Stellated Dodecahedron (l_c(Pentagram)) and hit the calculate button. Here is how the Volume of Small Stellated Dodecahedron given Pentagram Chord calculation can be explained with given input values -> 16701.28 = ((5/4)*(7+3*sqrt(5)))*((42/(2+sqrt(5)))^3).

FAQ

What is Volume of Small Stellated Dodecahedron given Pentagram Chord?

Volume of Small Stellated Dodecahedron given Pentagram Chord formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its pentagram chord and is represented as V = ((5/4)*(7+3*sqrt(5)))*((l_c(Pentagram)/(2+sqrt(5)))^3) or Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3). Pentagram Chord of Small Stellated Dodecahedron is the distance between any pair of non adjacent peak vertices of the pentagram corresponding to the Small Stellated Dodecahedron.

How to calculate Volume of Small Stellated Dodecahedron given Pentagram Chord?

Volume of Small Stellated Dodecahedron given Pentagram Chord formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Small Stellated Dodecahedron, calculated using its pentagram chord is calculated using Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Pentagram Chord of Small Stellated Dodecahedron/(2+sqrt(5)))^3). To calculate Volume of Small Stellated Dodecahedron given Pentagram Chord, you need Pentagram Chord of Small Stellated Dodecahedron (l_c(Pentagram)). With our tool, you need to enter the respective value for Pentagram Chord 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 Volume of Small Stellated Dodecahedron?

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

Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*((Edge Length of Small Stellated Dodecahedron)^3)
Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((2*Ridge Length of Small Stellated Dodecahedron)/(1+sqrt(5)))^3)
Volume of Small Stellated Dodecahedron = ((5/4)*(7+3*sqrt(5)))*(((4*Circumradius of Small Stellated Dodecahedron)/(sqrt(50+22*sqrt(5))))^3)

Home

FREE PDFs

🔍 Search