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ridge length (s) of Great Icosahedron given Volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
length = ((1+sqrt(5))/2)*(((4*Volume)/(25+9*sqrt(5)))^(1/3))
l = ((1+sqrt(5))/2)*(((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
l = ((1+sqrt(5))/2)*(((4*V)/(25+9*sqrt(5)))^(1/3)) --> ((1+sqrt(5))/2)*(((4*63)/(25+9*sqrt(5)))^(1/3))
Evaluating ... ...
l = 2.87067037595095
STEP 3: Convert Result to Output's Unit
2.87067037595095 Meter --> No Conversion Required
FINAL ANSWER
2.87067037595095 Meter <-- Length
(Calculation completed in 00.044 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

Unbraced Member Length when Critical Bending Moment of Rectangular Beam is Given
length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant)) Go
Length over which Deformation Takes Place when Strain Energy in Shear is Given
length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2) Go
Length of rectangle when diagonal and angle between two diagonal are given
length = Diagonal*sin(sinϑ/2) Go
Length of a rectangle in terms of diagonal and angle between diagonal and breadth
length = Diagonal*sin(sinϑ) Go
Length of rectangle when diagonal and breadth are given
length = sqrt(Diagonal^2-Breadth^2) Go
Length of rectangle when perimeter and breadth are given
length = (Perimeter-2*Breadth)/2 Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Length of the major axis of an ellipse (b>a)
length = 2*Major axis Go
Length of major axis of an ellipse (a>b)
length = 2*Major axis Go
Length of minor axis of an ellipse (a>b)
length = 2*Minor axis Go
Length of minor axis of an ellipse (b>a)
length = 2*Minor axis Go

ridge length (s) of Great Icosahedron given Volume Formula

length = ((1+sqrt(5))/2)*(((4*Volume)/(25+9*sqrt(5)))^(1/3))
l = ((1+sqrt(5))/2)*(((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 ridge length (s) of Great Icosahedron given Volume?

ridge length (s) of Great Icosahedron given Volume calculator uses length = ((1+sqrt(5))/2)*(((4*Volume)/(25+9*sqrt(5)))^(1/3)) to calculate the Length, The ridge length (s) of Great Icosahedron given Volume formula is defined as measurement of a long, narrow crest of Great Icosahedron. Length and is denoted by l symbol.

How to calculate ridge length (s) of Great Icosahedron given Volume using this online calculator? To use this online calculator for ridge length (s) of Great Icosahedron given Volume, enter Volume (V) and hit the calculate button. Here is how the ridge length (s) of Great Icosahedron given Volume calculation can be explained with given input values -> 2.87067 = ((1+sqrt(5))/2)*(((4*63)/(25+9*sqrt(5)))^(1/3)).

FAQ

What is ridge length (s) of Great Icosahedron given Volume?
The ridge length (s) of Great Icosahedron given Volume formula is defined as measurement of a long, narrow crest of Great Icosahedron and is represented as l = ((1+sqrt(5))/2)*(((4*V)/(25+9*sqrt(5)))^(1/3)) or length = ((1+sqrt(5))/2)*(((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 ridge length (s) of Great Icosahedron given Volume?
The ridge length (s) of Great Icosahedron given Volume formula is defined as measurement of a long, narrow crest of Great Icosahedron is calculated using length = ((1+sqrt(5))/2)*(((4*Volume)/(25+9*sqrt(5)))^(1/3)). To calculate ridge length (s) 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?
In this formula, Length uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • length = sqrt(Diagonal^2-Breadth^2)
  • length = Area/Breadth
  • length = (Perimeter-2*Breadth)/2
  • length = Diagonal*sin(sinϑ)
  • length = Diagonal*sin(sinϑ/2)
  • length = 2*Major axis
  • length = 2*Major axis
  • length = 2*Minor axis
  • length = 2*Minor axis
  • length = (pi/Critical Bending Moment)*(sqrt(Modulus Of Elasticity*Moment of Inertia about Minor Axis*Shear Modulus of Elasticity*Torsional constant))
  • length = 2*Strain Energy*Shear Area*Shear Modulus of Elasticity/(Shear Force^2)
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