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Surface-to-volume ratio of anticube 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)))*Side)
r = (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*s)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Side - The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Side: 9 Meter --> 9 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)))*s) --> (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*9)
Evaluating ... ...
r = 0.634401685689436
STEP 3: Convert Result to Output's Unit
0.634401685689436 Hundred --> No Conversion Required
FINAL ANSWER
0.634401685689436 Hundred <-- surface to volume ratio
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Total Surface Area of a Pyramid
total_surface_area = Side*(Side+sqrt(Side^2+4*(Height)^2)) Go
Area of a Rhombus when side and diagonals are given
area = (1/2)*(Diagonal A)*(sqrt(4*Side^2-(Diagonal A)^2)) Go
Lateral Surface Area of a Pyramid
lateral_surface_area = Side*sqrt(Side^2+4*(Height)^2) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Area of a Octagon
area = 2*(1+sqrt(2))*(Side)^2 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Hexagon
area = (3/2)*sqrt(3)*Side^2 Go
Base Surface Area of a Pyramid
base_surface_area = Side^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go
Volume of a Cube
volume = Side^3 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 of anticube Formula

surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*Side)
r = (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*s)

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?

Surface-to-volume ratio of anticube calculator uses surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*Side) to calculate the surface to volume ratio, The Surface-to-volume ratio of anticube 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 using this online calculator? To use this online calculator for Surface-to-volume ratio of anticube, enter Side (s) and hit the calculate button. Here is how the Surface-to-volume ratio of anticube calculation can be explained with given input values -> 0.634402 = (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*9).

FAQ

What is Surface-to-volume ratio of anticube?
The Surface-to-volume ratio of anticube 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)))*s) or surface_to_volume_ratio = (2*(1+sqrt(3)))/((1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*Side). The side is an upright or sloping surface of a structure or object that is not the top or bottom and generally not the front or back.
How to calculate Surface-to-volume ratio of anticube?
The Surface-to-volume ratio of anticube 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)))*Side). To calculate Surface-to-volume ratio of anticube, you need Side (s). With our tool, you need to enter the respective value for Side 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 Side. 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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