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Edge length of Anticube given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = sqrt(Surface Area/(2*(1+sqrt(3))))
S = sqrt(SA/(2*(1+sqrt(3))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Surface Area - The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Surface Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
S = sqrt(SA/(2*(1+sqrt(3)))) --> sqrt(50/(2*(1+sqrt(3))))
Evaluating ... ...
S = 3.02500166853028
STEP 3: Convert Result to Output's Unit
3.02500166853028 Meter --> No Conversion Required
FINAL ANSWER
3.02500166853028 Meter <-- Side
(Calculation completed in 00.000 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 surface area Formula

side = sqrt(Surface Area/(2*(1+sqrt(3))))
S = sqrt(SA/(2*(1+sqrt(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 surface area?

Edge length of Anticube given surface area calculator uses side = sqrt(Surface Area/(2*(1+sqrt(3)))) to calculate the Side, The Edge length of Anticube given surface area 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 surface area using this online calculator? To use this online calculator for Edge length of Anticube given surface area, enter Surface Area (SA) and hit the calculate button. Here is how the Edge length of Anticube given surface area calculation can be explained with given input values -> 3.025002 = sqrt(50/(2*(1+sqrt(3)))).

FAQ

What is Edge length of Anticube given surface area?
The Edge length of Anticube given surface area formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge and is represented as S = sqrt(SA/(2*(1+sqrt(3)))) or side = sqrt(Surface Area/(2*(1+sqrt(3)))). The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.
How to calculate Edge length of Anticube given surface area?
The Edge length of Anticube given surface area formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge is calculated using side = sqrt(Surface Area/(2*(1+sqrt(3)))). To calculate Edge length of Anticube given surface area, you need Surface Area (SA). With our tool, you need to enter the respective value for Surface Area 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 Surface Area. 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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