Surface-to-volume ratio of anticube Calculator

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✖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.ⓘ Side [s]

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✖surface to volume ratio is fraction of surface to volume.ⓘ Surface-to-volume ratio of anticube [r]

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Credits

Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has created this Calculator and 1000+ more calculators!

Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 500+ more calculators!

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)

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< 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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