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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 00.015 seconds)

4 Edge length of Anticube Calculators

Edge length of Anticube given surface to volume ratio
side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio) Go
Edge length of Anticube given volume
side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3) Go
Edge length of Anticube given surface area
side = sqrt(Surface Area/(2*(1+sqrt(3)))) Go
Edge length of Anticube given height
side = Height/(sqrt(1-(1/(2+sqrt(2))))) 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 4 other way(s) to calculate the same, which is/are as follows -
  • side = Height/(sqrt(1-(1/(2+sqrt(2)))))
  • side = sqrt(Surface Area/(2*(1+sqrt(3))))
  • side = ((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)
  • side = (2*(1+sqrt(3)))/((1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio)
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