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Surface-to-volume ratio of anticube given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Area/(2*(1+sqrt(3))))))
r = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(A/(2*(1+sqrt(3))))))
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 = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(A/(2*(1+sqrt(3)))))) --> (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(50/(2*(1+sqrt(3))))))
Evaluating ... ...
r = 1.88747504856055
STEP 3: Convert Result to Output's Unit
1.88747504856055 Hundred --> No Conversion Required
FINAL ANSWER
1.88747504856055 Hundred <-- surface to volume ratio
(Calculation completed in 00.016 seconds)

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Pressure when force and area are given
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Stress
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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 of anticube given surface area Formula

surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Area/(2*(1+sqrt(3))))))
r = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(A/(2*(1+sqrt(3))))))

What is an Anticube?

In geometry, the square antiprism is the second in an infinite set of antiprisms formed by an even-numbered sequence of triangle sides closed by two polygon caps. It is also known as an anticube. If all its faces are regular, it is a semiregular polyhedron. When eight points are distributed on the surface of a sphere with the aim of maximising the distance between them in some sense, then the resulting shape corresponds to a square anti-prism rather than a cube. Different examples include maximising the distance to the nearest point, or using electrons to maximise the sum of all reciprocals of squares of distances.

How to Calculate Surface-to-volume ratio of anticube given surface area?

Surface-to-volume ratio of anticube given surface area calculator uses surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Area/(2*(1+sqrt(3)))))) to calculate the surface to volume ratio, The Surface-to-volume ratio of anticube given surface area formula is defined as the ratio of surface area to volume of anticube, where a = anticube edge. . surface to volume ratio and is denoted by r symbol.

How to calculate Surface-to-volume ratio of anticube given surface area using this online calculator? To use this online calculator for Surface-to-volume ratio of anticube given surface area, enter Area (A) and hit the calculate button. Here is how the Surface-to-volume ratio of anticube given surface area calculation can be explained with given input values -> 1.887475 = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(50/(2*(1+sqrt(3)))))).

FAQ

What is Surface-to-volume ratio of anticube given surface area?
The Surface-to-volume ratio of anticube given surface area formula is defined as the ratio of surface area to volume of anticube, where a = anticube edge. and is represented as r = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(A/(2*(1+sqrt(3)))))) or surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Area/(2*(1+sqrt(3)))))). The area is the amount of two-dimensional space taken up by an object.
How to calculate Surface-to-volume ratio of anticube given surface area?
The Surface-to-volume ratio of anticube given surface area formula is defined as the ratio of surface area to volume of anticube, where a = anticube edge. is calculated using surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Area/(2*(1+sqrt(3)))))). To calculate Surface-to-volume ratio of anticube given surface area, 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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