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Volume of anticube Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(Side^3)
V = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(s^3)
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
V = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(s^3) --> (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(9^3)
Evaluating ... ...
V = 697.652986758966
STEP 3: Convert Result to Output's Unit
697.652986758966 Cubic Meter --> No Conversion Required
FINAL ANSWER
697.652986758966 Cubic Meter <-- Volume
(Calculation completed in 00.015 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

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Volume of Regular Dodecahedron
volume = ((15+(7*sqrt(5)))*Side^3)/4 Go
Volume of Regular Icosahedron
volume = (5*(3+sqrt(5))*Side^3)/12 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Volume of a Cube
volume = Side^3 Go

Volume of anticube Formula

volume = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(Side^3)
V = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(s^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 Volume of anticube?

Volume of anticube calculator uses volume = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(Side^3) to calculate the Volume, The Volume of anticube formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of anticube. Volume and is denoted by V symbol.

How to calculate Volume of anticube using this online calculator? To use this online calculator for Volume of anticube, enter Side (s) and hit the calculate button. Here is how the Volume of anticube calculation can be explained with given input values -> 697.653 = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(9^3).

FAQ

What is Volume of anticube?
The Volume of anticube formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of anticube and is represented as V = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(s^3) or volume = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(Side^3). 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 Volume of anticube?
The Volume of anticube formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of anticube is calculated using volume = (1/3)*(sqrt(1+sqrt(2)))*(sqrt(2+sqrt(2)))*(Side^3). To calculate Volume 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 Volume?
In this formula, Volume uses Side. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • volume = pi*(Radius)^2*((4/3)*Radius+Side)
  • volume = (1/3)*pi*(Radius)^2*Height
  • volume = pi*(Radius)^2*Height
  • volume = Side^3
  • volume = (2/3)*pi*(Radius)^3
  • volume = (4/3)*pi*(Radius)^3
  • volume = (1/3)*Side^2*Height
  • volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
  • volume = Width*Height*Length
  • volume = ((15+(7*sqrt(5)))*Side^3)/4
  • volume = (5*(3+sqrt(5))*Side^3)/12
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