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Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/Area))
r = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/A))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/A)) --> ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/50))
Evaluating ... ...
r = 3.29299505888731
STEP 3: Convert Result to Output's Unit
3.29299505888731 Hundred --> No Conversion Required
FINAL ANSWER
3.29299505888731 Hundred <-- surface to volume ratio
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

11 Other formulas that calculate the same Output

surface-volume-ratio of triakis tetrahedron given area
surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area))) Go
Surface-to-volume ratio (A/V) given side of Rhombic Triacontahedron
surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5))))) Go
surface-volume-ratio of triakis tetrahedron given volume
surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3)) Go
surface-volume-ratio of triakis tetrahedron given height
surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given edge length
surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A) Go
Surface-to-volume ratio (A/V) of triakis tetrahedron given edge length of tetrahedron(a)
surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2)) Go
surface-volume-ratio of triakis tetrahedron given Edge length of pyramid(b)
surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius
surface_to_volume_ratio = (6/(sqrt(3)*Radius)) Go
surface-volume-ratio of triakis tetrahedron given Midsphere radius
surface_to_volume_ratio = sqrt(11)/Radius Go
Surface-to-volume ratio of Rhombic Dodecahedron given Insphere radius
surface_to_volume_ratio = (3/Radius) Go
surface-volume-ratio of triakis tetrahedron given Insphere radius
surface_to_volume_ratio = 3/Radius Go

Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) Formula

surface_to_volume_ratio = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/Area))
r = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/A))

What is Great Dodecahedron?

In geometry, the great dodecahedron is a Kepler–Poinsot polyhedron, with Schläfli symbol {5,5/2} and Coxeter–Dynkin diagram of. It is one of four nonconvex regular polyhedra. It is composed of 12 pentagonal faces, with five pentagons meeting at each vertex, intersecting each other making a pentagrammic path.

How to Calculate Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A)?

Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) calculator uses surface_to_volume_ratio = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/Area)) to calculate the surface to volume ratio, The Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) formula is defined as what part of total volume of Great Dodecahedron is its total surface area. surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) using this online calculator? To use this online calculator for Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A), enter Area (A) and hit the calculate button. Here is how the Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) calculation can be explained with given input values -> 3.292995 = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/50)).

FAQ

What is Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A)?
The Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) formula is defined as what part of total volume of Great Dodecahedron is its total surface area and is represented as r = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/A)) or surface_to_volume_ratio = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/Area)). The area is the amount of two-dimensional space taken up by an object.
How to calculate Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A)?
The Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A) formula is defined as what part of total volume of Great Dodecahedron is its total surface area is calculated using surface_to_volume_ratio = ((15*(sqrt(5-2*sqrt(5))))/((5/4)*(sqrt(5)-1)))*(sqrt((15*(sqrt(5-2*sqrt(5))))/Area)). To calculate Surface-to-volume ratio (A/V) of Great Dodecahedron given Surface area (A), you need Area (A). With our tool, you need to enter the respective value for Area 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 surface to volume ratio?
In this formula, surface to volume ratio uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_to_volume_ratio = (3*sqrt(5))/(Side*(sqrt(5+(2*sqrt(5)))))
  • surface_to_volume_ratio = (4*sqrt(11))/(Side A*sqrt(2))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(3/(5*Side B))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*((3*sqrt(6))/(5*Height))
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(sqrt((3*sqrt(11))/(5*Area)))
  • surface_to_volume_ratio = 3/Radius
  • surface_to_volume_ratio = sqrt(11)/Radius
  • surface_to_volume_ratio = 4*(sqrt(11/2))*(((3*sqrt(2))/(20*Volume))^(1/3))
  • surface_to_volume_ratio = (9*sqrt(2))/(2*sqrt(3)*Side A)
  • surface_to_volume_ratio = (3/Radius)
  • surface_to_volume_ratio = (6/(sqrt(3)*Radius))
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