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Edge length of anticube given height Solution

STEP 0: Pre-Calculation Summary
Formula Used
side = Height/(sqrt(1-(1/(2+sqrt(2)))))
s = h/(sqrt(1-(1/(2+sqrt(2)))))
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)
STEP 1: Convert Input(s) to Base Unit
Height: 12 Meter --> 12 Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
s = h/(sqrt(1-(1/(2+sqrt(2))))) --> 12/(sqrt(1-(1/(2+sqrt(2)))))
Evaluating ... ...
s = 14.2704853800327
STEP 3: Convert Result to Output's Unit
14.2704853800327 Meter --> No Conversion Required
FINAL ANSWER
14.2704853800327 Meter <-- Side
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Total Surface Area of a Cone
total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go
Lateral Surface Area of a Cone
lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go
Total Surface Area of a Cylinder
total_surface_area = 2*pi*Radius*(Height+Radius) Go
Lateral Surface Area of a Cylinder
lateral_surface_area = 2*pi*Radius*Height Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Area of a Trapezoid
area = ((Base A+Base B)/2)*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Area of a Triangle when base and height are given
area = 1/2*Base*Height Go
Area of a Parallelogram when base and height are given
area = Base*Height 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 height Formula

side = Height/(sqrt(1-(1/(2+sqrt(2)))))
s = h/(sqrt(1-(1/(2+sqrt(2)))))

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 height?

Edge length of anticube given height calculator uses side = Height/(sqrt(1-(1/(2+sqrt(2))))) to calculate the Side, The Edge length of anticube given height 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 height using this online calculator? To use this online calculator for Edge length of anticube given height, enter Height (h) and hit the calculate button. Here is how the Edge length of anticube given height calculation can be explained with given input values -> 14.27049 = 12/(sqrt(1-(1/(2+sqrt(2))))).

FAQ

What is Edge length of anticube given height?
The Edge length of anticube given height formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge and is represented as s = h/(sqrt(1-(1/(2+sqrt(2))))) or side = Height/(sqrt(1-(1/(2+sqrt(2))))). Height is the distance between the lowest and highest points of a person standing upright.
How to calculate Edge length of anticube given height?
The Edge length of anticube given height formula is defined as a straight line joining two adjacent vertices of anticube. Where, a = anticube edge is calculated using side = Height/(sqrt(1-(1/(2+sqrt(2))))). To calculate Edge length of anticube given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Height. 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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