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Height of anticube given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
height = (sqrt(1-(1/(2+sqrt(2)))))*(((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))
h = (sqrt(1-(1/(2+sqrt(2)))))*(((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
h = (sqrt(1-(1/(2+sqrt(2)))))*(((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)) --> (sqrt(1-(1/(2+sqrt(2)))))*(((3*63)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))
Evaluating ... ...
h = 3.39535645347855
STEP 3: Convert Result to Output's Unit
3.39535645347855 Meter --> No Conversion Required
FINAL ANSWER
3.39535645347855 Meter <-- Height
(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

Height of a triangular prism when lateral surface area is given
height = Lateral Surface Area/(Side A+Side B+Side C) Go
Height of an isosceles trapezoid
height = sqrt(Side C^2-0.25*(Side A-Side B)^2) Go
Altitude of an isosceles triangle
height = sqrt((Side A)^2+((Side B)^2/4)) Go
Height of a triangular prism when base and volume are given
height = (2*Volume)/(Base*Length) Go
Height of a trapezoid when area and sum of parallel sides are given
height = (2*Area)/Sum of parallel sides of a trapezoid Go
Altitude of the largest right pyramid with a square base that can be inscribed in a sphere of radius a
height = 4*Radius of Sphere/3 Go
Height of Cone inscribed in a sphere for maximum volume of cone in terms of radius of sphere
height = 4*Radius of Sphere/3 Go
Height of Cone circumscribing a sphere such that volume of cone is minimum
height = 4*Radius of Sphere Go
Height of parabolic section that can be cut from a cone for maximum area of parabolic section
height = 0.75*Slant Height Go
Height of a circular cylinder of maximum convex surface area in a given circular cone
height = Height of Cone/2 Go
Height of Largest right circular cylinder that can be inscribed within a cone
height = Height of Cone/3 Go

Height of anticube given volume Formula

height = (sqrt(1-(1/(2+sqrt(2)))))*(((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))
h = (sqrt(1-(1/(2+sqrt(2)))))*(((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 Height of anticube given volume?

Height of anticube given volume calculator uses height = (sqrt(1-(1/(2+sqrt(2)))))*(((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)) to calculate the Height, The Height of anticube given volume formula is defined as the measure of vertical distance from one top to bottom face of anticube, where h = height of anticube. Height and is denoted by h symbol.

How to calculate Height of anticube given volume using this online calculator? To use this online calculator for Height of anticube given volume, enter Volume (V) and hit the calculate button. Here is how the Height of anticube given volume calculation can be explained with given input values -> 3.395356 = (sqrt(1-(1/(2+sqrt(2)))))*(((3*63)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)).

FAQ

What is Height of anticube given volume?
The Height of anticube given volume formula is defined as the measure of vertical distance from one top to bottom face of anticube, where h = height of anticube and is represented as h = (sqrt(1-(1/(2+sqrt(2)))))*(((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)) or height = (sqrt(1-(1/(2+sqrt(2)))))*(((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 Height of anticube given volume?
The Height of anticube given volume formula is defined as the measure of vertical distance from one top to bottom face of anticube, where h = height of anticube is calculated using height = (sqrt(1-(1/(2+sqrt(2)))))*(((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3)). To calculate Height 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 Height?
In this formula, Height uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • height = 4*Radius of Sphere/3
  • height = 4*Radius of Sphere
  • height = Height of Cone/3
  • height = 4*Radius of Sphere/3
  • height = Height of Cone/2
  • height = 0.75*Slant Height
  • height = sqrt(Side C^2-0.25*(Side A-Side B)^2)
  • height = (2*Area)/Sum of parallel sides of a trapezoid
  • height = sqrt((Side A)^2+((Side B)^2/4))
  • height = (2*Volume)/(Base*Length)
  • height = Lateral Surface Area/(Side A+Side B+Side C)
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