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Edge length of Great Icosahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
length_edge = ((4*Volume)/(25+9*sqrt(5)))^(1/3)
a = ((4*V)/(25+9*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
a = ((4*V)/(25+9*sqrt(5)))^(1/3) --> ((4*63)/(25+9*sqrt(5)))^(1/3)
Evaluating ... ...
a = 1.77417186283513
STEP 3: Convert Result to Output's Unit
1.77417186283513 Meter --> No Conversion Required
FINAL ANSWER
1.77417186283513 Meter <-- Length of edge
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Slant height of a Right square pyramid when volume and side length are given
slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2) Go
Lateral edge length of a Right square pyramid when volume and side length is given
length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2) Go
Specific Weight
specific_weight = Weight of body on which frictional force is applied/Volume Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Side length of a Right square pyramid when volume and height are given
side = sqrt((3*Volume)/Height) Go
Bottom surface area of a triangular prism when volume and height are given
bottom_surface_area = Volume/Height Go
Body Force Work Rate
body_force_work_rate = Force/Volume Go
Top surface area of a triangular prism when volume and height are given
top_surface_area = Volume/Height Go
Specific Volume
specific_volume = Volume/Mass Go
Height of a right square pyramid when volume and side length are given
height = (3*Volume)/Side^2 Go
Density
density = Mass/Volume Go

11 Other formulas that calculate the same Output

Lateral edge length of a Right square pyramid when side length and slant height are given
length_edge = sqrt(Side^2/2+(Slant Height^2-Side^2/4)) Go
Lateral edge length of a Right square pyramid when volume and side length is given
length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2) Go
Edge length (a) of Great Dodecahedron given Surface area (A)
length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5))))) Go
Edge length (a) of Great Dodecahedron given Pyramid height (hp)
length_edge = (6*Height)/(sqrt(3)*(3-sqrt(5))) Go
Edge length (a) of Great Dodecahedron given Circumsphere radius (rc)
length_edge = (4*Radius)/(sqrt(10+2*sqrt(5))) Go
Lateral edge length of a Right Square pyramid
length_edge = sqrt(Height^2+Length^2/2) Go
Edge length (a) of Great Dodecahedron given Volume (V)
length_edge = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3) Go
Edge length (a) of Great Dodecahedron given Ridge length (s)
length_edge = (2*length 1)/(sqrt(5)-1) Go
Edge of Regular Octahedron
length_edge = (3^(1/4))*sqrt(Area/18) Go
Edge of Tetrahedron
length_edge = sqrt(Area)/3^(1/4) Go
Edge length tetrahedron of truncated tetrahedron
length_edge = 3*Side Go

Edge length of Great Icosahedron given Volume Formula

length_edge = ((4*Volume)/(25+9*sqrt(5)))^(1/3)
a = ((4*V)/(25+9*sqrt(5)))^(1/3)

What is Great Icosahedron?

In geometry, the great icosahedron is one of four Kepler–Poinsot polyhedra, with Schläfli symbol {3, ​⁵⁄₂} and Coxeter–Dynkin diagram of. It is composed of 20 intersecting triangular faces, having five triangles meeting at each vertex in a pentagrammic sequence.

How to Calculate Edge length of Great Icosahedron given Volume?

Edge length of Great Icosahedron given Volume calculator uses length_edge = ((4*Volume)/(25+9*sqrt(5)))^(1/3) to calculate the Length of edge, The Edge length of Great Icosahedron given Volume formula is defined as a straight line connecting two vertices of Great Icosahedron. Length of edge and is denoted by a symbol.

How to calculate Edge length of Great Icosahedron given Volume using this online calculator? To use this online calculator for Edge length of Great Icosahedron given Volume, enter Volume (V) and hit the calculate button. Here is how the Edge length of Great Icosahedron given Volume calculation can be explained with given input values -> 1.774172 = ((4*63)/(25+9*sqrt(5)))^(1/3).

FAQ

What is Edge length of Great Icosahedron given Volume?
The Edge length of Great Icosahedron given Volume formula is defined as a straight line connecting two vertices of Great Icosahedron and is represented as a = ((4*V)/(25+9*sqrt(5)))^(1/3) or length_edge = ((4*Volume)/(25+9*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 Icosahedron given Volume?
The Edge length of Great Icosahedron given Volume formula is defined as a straight line connecting two vertices of Great Icosahedron is calculated using length_edge = ((4*Volume)/(25+9*sqrt(5)))^(1/3). To calculate Edge length of Great Icosahedron 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 Length of edge?
In this formula, Length of edge uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length_edge = sqrt(Height^2+Length^2/2)
  • length_edge = sqrt(Side^2/2+(Slant Height^2-Side^2/4))
  • length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2)
  • length_edge = sqrt(Area)/3^(1/4)
  • length_edge = (3^(1/4))*sqrt(Area/18)
  • length_edge = 3*Side
  • length_edge = (2*length 1)/(sqrt(5)-1)
  • length_edge = (4*Radius)/(sqrt(10+2*sqrt(5)))
  • length_edge = (6*Height)/(sqrt(3)*(3-sqrt(5)))
  • length_edge = sqrt(Area/(15*(sqrt(5-2*sqrt(5)))))
  • length_edge = ((4*Volume)/(5*(sqrt(5)-1)))^(1/3)
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