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Edge length of Great Stellated Dodecahedron given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3)
Sa = ((4*V)/(5*(3+sqrt(5))))^(1/3)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
Sa = ((4*V)/(5*(3+sqrt(5))))^(1/3) --> ((4*63)/(5*(3+sqrt(5))))^(1/3)
Evaluating ... ...
Sa = 2.12720046908889
STEP 3: Convert Result to Output's Unit
2.12720046908889 Meter --> No Conversion Required
FINAL ANSWER
2.12720046908889 Meter <-- Side A
(Calculation completed in 00.015 seconds)

7 Edge length of Great Stellated Dodecahedron Calculators

Edge length of Great Stellated Dodecahedron given surface to volume ratio
side_a = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio) Go
Edge length of Great Stellated Dodecahedron given surface area
side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5))))) Go
Edge length of Great Stellated Dodecahedron given circumradius
side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5))) Go
Edge length of Great Stellated Dodecahedron given pyramid height
side_a = (6*Height)/(sqrt(3)*(3+sqrt(5))) Go
Edge length of Great Stellated Dodecahedron given volume
side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3) Go
Edge length of Great Stellated Dodecahedron given ridge length
side_a = (2*Ridge Length 1)/(1+sqrt(5)) Go
Edge length of Great Stellated Dodecahedron given pentagram chord
side_a = Chord Length/(2+sqrt(5)) Go

Edge length of Great Stellated Dodecahedron given volume Formula

side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3)
Sa = ((4*V)/(5*(3+sqrt(5))))^(1/3)

What is Great Stellated Dodecahedron?

In geometry, 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 Edge length of Great Stellated Dodecahedron given volume?

Edge length of Great Stellated Dodecahedron given volume calculator uses side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3) to calculate the Side A, Edge length of Great Stellated Dodecahedron given volume formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron. Side A and is denoted by Sa symbol.

How to calculate Edge length of Great Stellated Dodecahedron given volume using this online calculator? To use this online calculator for Edge length of Great Stellated Dodecahedron given volume, enter Volume (V) and hit the calculate button. Here is how the Edge length of Great Stellated Dodecahedron given volume calculation can be explained with given input values -> 2.1272 = ((4*63)/(5*(3+sqrt(5))))^(1/3).

FAQ

What is Edge length of Great Stellated Dodecahedron given volume?
Edge length of Great Stellated Dodecahedron given volume formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron and is represented as Sa = ((4*V)/(5*(3+sqrt(5))))^(1/3) or side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Edge length of Great Stellated Dodecahedron given volume?
Edge length of Great Stellated Dodecahedron given volume formula is defined as a straight line connecting two vertices of Great Stellated Dodecahedron is calculated using side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3). To calculate Edge length of Great Stellated Dodecahedron given volume, you need Volume (V). With our tool, you need to enter the respective value for Volume 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 Side A?
In this formula, Side A uses Volume. We can use 7 other way(s) to calculate the same, which is/are as follows -
  • side_a = (2*Ridge Length 1)/(1+sqrt(5))
  • side_a = Chord Length/(2+sqrt(5))
  • side_a = (4*Circumradius)/(sqrt(3)*(3+sqrt(5)))
  • side_a = (6*Height)/(sqrt(3)*(3+sqrt(5)))
  • side_a = sqrt(Surface Area/(15*(sqrt(5+2*sqrt(5)))))
  • side_a = ((4*Volume)/(5*(3+sqrt(5))))^(1/3)
  • side_a = (15*(sqrt(5+2*sqrt(5))))/((5/4)*(3+sqrt(5))*Surface to Volume Ratio)
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