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Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = (6/(sqrt(3)*Radius))
r = (6/(sqrt(3)*r))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Radius - Radius is a radial line from the focus to any point of a curve. (Measured in Centimeter)
STEP 1: Convert Input(s) to Base Unit
Radius: 18 Centimeter --> 0.18 Meter (Check conversion here)
STEP 2: Evaluate Formula
Substituting Input Values in Formula
r = (6/(sqrt(3)*r)) --> (6/(sqrt(3)*0.18))
Evaluating ... ...
r = 19.2450089729875
STEP 3: Convert Result to Output's Unit
19.2450089729875 Hundred --> No Conversion Required
FINAL ANSWER
19.2450089729875 Hundred <-- surface to volume ratio
(Calculation completed in 00.016 seconds)

5 Surface-to-volume ratio of Rhombic Dodecahedron Calculators

Surface-to-volume ratio of Rhombic Dodecahedron given area
surface_to_volume_ratio = ((9*sqrt(2))/(2*sqrt(3)))*sqrt((8*sqrt(2))/(Area)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given volume
surface_to_volume_ratio = ((9*sqrt(2))/(2*sqrt(3)))*(((16*sqrt(3))/(9*Volume))^(1/3)) 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 of Rhombic Dodecahedron given Midsphere radius
surface_to_volume_ratio = (6/(sqrt(3)*Radius)) Go
Surface-to-volume ratio of Rhombic Dodecahedron given Insphere radius
surface_to_volume_ratio = (3/Radius) Go

Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius Formula

surface_to_volume_ratio = (6/(sqrt(3)*Radius))
r = (6/(sqrt(3)*r))

What is practical usage of rhombic dodecahedron?

In spacecraft reaction wheel layout, a tetrahedral configuration of four wheels is commonly used. For wheels that perform equally (from a peak torque and max angular momentum standpoint) in both spin directions and across all four wheels, the maximum torque and maximum momentum envelopes for the 3-axis attitude control system (considering idealized actuators) are given by projecting the tesseract representing the limits of each wheel's torque or momentum into 3D space via the 3 × 4 matrix of wheel axes; the resulting 3D polyhedron is a rhombic dodecahedron.

How to Calculate Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius?

Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius calculator uses surface_to_volume_ratio = (6/(sqrt(3)*Radius)) to calculate the surface to volume ratio, The Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius formula is defined as what fraction or what part of total volume of rhombic dodecahedron is the surface area of rhombic dodecahedron. Where, radius = Midsphere radius. surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius using this online calculator? To use this online calculator for Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius, enter Radius (r) and hit the calculate button. Here is how the Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius calculation can be explained with given input values -> 19.24501 = (6/(sqrt(3)*0.18)).

FAQ

What is Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius?
The Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius formula is defined as what fraction or what part of total volume of rhombic dodecahedron is the surface area of rhombic dodecahedron. Where, radius = Midsphere radius and is represented as r = (6/(sqrt(3)*r)) or surface_to_volume_ratio = (6/(sqrt(3)*Radius)). Radius is a radial line from the focus to any point of a curve.
How to calculate Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius?
The Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius formula is defined as what fraction or what part of total volume of rhombic dodecahedron is the surface area of rhombic dodecahedron. Where, radius = Midsphere radius is calculated using surface_to_volume_ratio = (6/(sqrt(3)*Radius)). To calculate Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius, you need Radius (r). With our tool, you need to enter the respective value for Radius 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 Radius. We can use 5 other way(s) to calculate the same, which is/are as follows -
  • 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))
  • surface_to_volume_ratio = ((9*sqrt(2))/(2*sqrt(3)))*(((16*sqrt(3))/(9*Volume))^(1/3))
  • surface_to_volume_ratio = ((9*sqrt(2))/(2*sqrt(3)))*sqrt((8*sqrt(2))/(Area))
Where is the Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius calculator used?
Among many, Surface-to-volume ratio of Rhombic Dodecahedron given Midsphere radius calculator is widely used in real life applications like {FormulaUses}. Here are few more real life examples -
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