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Surface area of anticube given volume Solution

STEP 0: Pre-Calculation Summary
Formula Used
surface_area = 2*(1+sqrt(3))*((((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2)
SA = 2*(1+sqrt(3))*((((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2)
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
SA = 2*(1+sqrt(3))*((((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2) --> 2*(1+sqrt(3))*((((3*63)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2)
Evaluating ... ...
SA = 89.084985547427
STEP 3: Convert Result to Output's Unit
89.084985547427 Square Meter --> No Conversion Required
FINAL ANSWER
89.084985547427 Square Meter <-- Surface Area
(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

Surface Area of Cuboid
surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth)) Go
Surface Area of a Rectangular Prism
surface_area = 2*(Length*Width+Length*Height+Width*Height) Go
Surface Area of triangular prism
surface_area = (Base*Height)+(2*Length*Side)+(Length*Base) Go
Surface Area of a Capsule
surface_area = 2*pi*Radius*(2*Radius+Side) Go
Surface Area of Prisms
surface_area = (2*Base Area)+(Height*Base Perimeter) Go
Surface Area of Dodecahedron
surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2) Go
Surface Area of Regular Octahedron
surface_area = 2*(sqrt(3))*(Side^2) Go
Surface Area of Icosahedron
surface_area = 5*(sqrt(3))*(Side^2) Go
Surface Area of Regular Tetrahedron
surface_area = (sqrt(3))*(Side^2) Go
Surface Area of a Sphere
surface_area = 4*pi*Radius^2 Go
Surface Area of a Cube
surface_area = 6*Side^2 Go

Surface area of anticube given volume Formula

surface_area = 2*(1+sqrt(3))*((((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2)
SA = 2*(1+sqrt(3))*((((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^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 Surface area of anticube given volume?

Surface area of anticube given volume calculator uses surface_area = 2*(1+sqrt(3))*((((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2) to calculate the Surface Area, The Surface area of anticube given volume formula is defined as measure of the total area that the surface of the object occupies of a anticube, where a =anticube edge. Surface Area and is denoted by SA symbol.

How to calculate Surface area of anticube given volume using this online calculator? To use this online calculator for Surface area of anticube given volume, enter Volume (V) and hit the calculate button. Here is how the Surface area of anticube given volume calculation can be explained with given input values -> 89.08499 = 2*(1+sqrt(3))*((((3*63)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2).

FAQ

What is Surface area of anticube given volume?
The Surface area of anticube given volume formula is defined as measure of the total area that the surface of the object occupies of a anticube, where a =anticube edge and is represented as SA = 2*(1+sqrt(3))*((((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2) or surface_area = 2*(1+sqrt(3))*((((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2). Volume is the amount of space that a substance or object occupies or that is enclosed within a container.
How to calculate Surface area of anticube given volume?
The Surface area of anticube given volume formula is defined as measure of the total area that the surface of the object occupies of a anticube, where a =anticube edge is calculated using surface_area = 2*(1+sqrt(3))*((((3*Volume)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(1/3))^2). To calculate Surface area 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 Surface Area?
In this formula, Surface Area uses Volume. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • surface_area = 2*pi*Radius*(2*Radius+Side)
  • surface_area = 6*Side^2
  • surface_area = 2*(Length*Width+Length*Height+Width*Height)
  • surface_area = 4*pi*Radius^2
  • surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2)
  • surface_area = 5*(sqrt(3))*(Side^2)
  • surface_area = 2*(sqrt(3))*(Side^2)
  • surface_area = (sqrt(3))*(Side^2)
  • surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth))
  • surface_area = (2*Base Area)+(Height*Base Perimeter)
  • surface_area = (Base*Height)+(2*Length*Side)+(Length*Base)
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