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Edge length of anticube given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)
s = ((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Volume - Volume is the amount of space that a substance or object occupies or that is enclosed within a container. (Measured in Cubic Meter)
STEP 1: Convert Input(s) to Base Unit
Volume: 63 Cubic Meter --> 63 Cubic Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = ((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3) --> ((3*63)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)
Evaluating ... ...
s = 4.0377820524471
STEP 3: Convert Result to Output's Unit
4.0377820524471 Meter --> No Conversion Required
FINAL ANSWER
4.0377820524471 Meter <-- Side
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Slant height of a Right square pyramid when volume and side length are given
slant_height = sqrt((Side^2/4)+((3*Volume)/Side^2)^2) Go
Lateral edge length of a Right square pyramid when volume and side length is given
length_edge = sqrt(Side^2/2+((3*Volume)/Side^2)^2) Go
Specific Weight
specific_weight = Weight of body on which frictional force is applied/Volume Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Side length of a Right square pyramid when volume and height are given
side = sqrt((3*Volume)/Height) Go
Bottom surface area of a triangular prism when volume and height are given
bottom_surface_area = Volume/Height Go
Body Force Work Rate
body_force_work_rate = Force/Volume Go
Top surface area of a triangular prism when volume and height are given
top_surface_area = Volume/Height Go
Specific Volume
specific_volume = Volume/Mass Go
Height of a right square pyramid when volume and side length are given
height = (3*Volume)/Side^2 Go
Density
density = Mass/Volume Go

11 Other formulas that calculate the same Output

Side of a regular polygon when area is given
side = sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides) Go
Side of a parallelogram when diagonal and the angle between diagonals are given
side = sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2 Go
Side of a parallelogram when diagonal and the angle between diagonals are given
side = sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2 Go
Side of a rhombus when diagonal and angle are given
side = Diagonal/sqrt(2+2*cos(Half angle between sides)) Go
Side of a rhombus when diagonal and half-angle are given
side = Diagonal/(2*cos(Angle Between Sides)) Go
Side of a Rhombus when diagonals are given
side = sqrt(Diagonal 1^2+Diagonal 2^2)/2 Go
Side length of a Right square pyramid when volume and height are given
side = sqrt((3*Volume)/Height) Go
Side of a regular polygon when perimeter is given
side = Perimeter of Regular Polygon/Number of sides Go
Side of a rhombus when area and inradius are given
side = Area/(2*Inradius) Go
Side of a rhombus when perimeter is given
side = Perimeter/4 Go
Side of Largest Cube that can be inscribed within a right circular cylinder of height h
side = Height Go

Edge length of anticube given volume Formula

side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)
s = ((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)

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 Edge length of anticube given volume?

Edge length of anticube given volume calculator uses side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3) to calculate the Side, The Edge length of anticube given volume formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge. Side and is denoted by s symbol.

How to calculate Edge length of anticube given volume using this online calculator? To use this online calculator for Edge length of anticube given volume, enter Volume (V) and hit the calculate button. Here is how the Edge length of anticube given volume calculation can be explained with given input values -> 4.037782 = ((3*63)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3).

FAQ

What is Edge length of anticube given volume?
The Edge length of anticube given volume formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge and is represented as s = ((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3) or side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Edge length of anticube given volume?
The Edge length of anticube given volume formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge is calculated using side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3). To calculate Edge length of anticube given volume, you need Volume (V). With our tool, you need to enter the respective value for Volume 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 Side?
In this formula, Side uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • side = Height
  • side = Area/(2*Inradius)
  • side = sqrt(Diagonal 1^2+Diagonal 2^2)/2
  • side = Perimeter/4
  • side = Diagonal/sqrt(2+2*cos(Half angle between sides))
  • side = Diagonal/(2*cos(Angle Between Sides))
  • side = sqrt((Diagonal 1)^2+(Diagonal 2)^2-(2*Diagonal 1*Diagonal 2*Angle Between Two Diagonals))/2
  • side = sqrt((Diagonal A)^2+(Diagonal B)^2+(2*Diagonal A*Diagonal B*Angle Between Two Diagonals))/2
  • side = Perimeter of Regular Polygon/Number of sides
  • side = sqrt(4*Area of regular polygon*tan((180*pi/180)/Number of sides))/sqrt(Number of sides)
  • side = sqrt((3*Volume)/Height)
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