Credits

St Joseph's College (St Joseph's College), Bengaluru
Mona Gladys has created this Calculator and 1000+ more calculators!
Walchand College of Engineering (WCE), Sangli
Shweta Patil has verified this Calculator and 500+ more calculators!

Volume of anticube given surface area Solution

STEP 0: Pre-Calculation Summary
Formula Used
volume = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(Area/(2*(1+sqrt(3)))))^3)
V = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(A/(2*(1+sqrt(3)))))^3)
This formula uses 1 Functions, 1 Variables
Functions Used
sqrt - Squre root function, sqrt(Number)
Variables Used
Area - The area is the amount of two-dimensional space taken up by an object. (Measured in Square Meter)
STEP 1: Convert Input(s) to Base Unit
Area: 50 Square Meter --> 50 Square Meter No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
V = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(A/(2*(1+sqrt(3)))))^3) --> (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(50/(2*(1+sqrt(3)))))^3)
Evaluating ... ...
V = 26.4904164100774
STEP 3: Convert Result to Output's Unit
26.4904164100774 Cubic Meter --> No Conversion Required
FINAL ANSWER
26.4904164100774 Cubic Meter <-- Volume
(Calculation completed in 00.016 seconds)

11 Other formulas that you can solve using the same Inputs

Diagonal of a Rectangle when breadth and area are given
diagonal = sqrt(((Area)^2/(Breadth)^2)+(Breadth)^2) Go
Diagonal of a Rectangle when length and area are given
diagonal = sqrt(((Area)^2/(Length)^2)+(Length)^2) Go
Side of a Kite when other side and area are given
side_a = (Area*cosec(Angle Between Sides))/Side B Go
Perimeter of rectangle when area and rectangle length are given
perimeter = (2*Area+2*(Length)^2)/Length Go
Buoyant Force
buoyant_force = Pressure*Area Go
Perimeter of a square when area is given
perimeter = 4*sqrt(Area) Go
Diagonal of a Square when area is given
diagonal = sqrt(2*Area) Go
Length of rectangle when area and breadth are given
length = Area/Breadth Go
Breadth of rectangle when area and length are given
breadth = Area/Length Go
Pressure when force and area are given
pressure = Force/Area Go
Stress
stress = Force/Area Go

11 Other formulas that calculate the same Output

Volume of a Conical Frustum
volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go
Volume of a Capsule
volume = pi*(Radius)^2*((4/3)*Radius+Side) Go
Volume of a Circular Cone
volume = (1/3)*pi*(Radius)^2*Height Go
Volume of a Circular Cylinder
volume = pi*(Radius)^2*Height Go
Volume of a Rectangular Prism
volume = Width*Height*Length Go
Volume of Regular Dodecahedron
volume = ((15+(7*sqrt(5)))*Side^3)/4 Go
Volume of Regular Icosahedron
volume = (5*(3+sqrt(5))*Side^3)/12 Go
Volume of a Hemisphere
volume = (2/3)*pi*(Radius)^3 Go
Volume of a Sphere
volume = (4/3)*pi*(Radius)^3 Go
Volume of a Pyramid
volume = (1/3)*Side^2*Height Go
Volume of a Cube
volume = Side^3 Go

Volume of anticube given surface area Formula

volume = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(Area/(2*(1+sqrt(3)))))^3)
V = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(A/(2*(1+sqrt(3)))))^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 Volume of anticube given surface area?

Volume of anticube given surface area calculator uses volume = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(Area/(2*(1+sqrt(3)))))^3) to calculate the Volume, The Volume of anticube given surface area formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of anticube. Volume and is denoted by V symbol.

How to calculate Volume of anticube given surface area using this online calculator? To use this online calculator for Volume of anticube given surface area, enter Area (A) and hit the calculate button. Here is how the Volume of anticube given surface area calculation can be explained with given input values -> 26.49042 = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(50/(2*(1+sqrt(3)))))^3).

FAQ

What is Volume of anticube given surface area?
The Volume of anticube given surface area formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of anticube and is represented as V = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(A/(2*(1+sqrt(3)))))^3) or volume = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(Area/(2*(1+sqrt(3)))))^3). The area is the amount of two-dimensional space taken up by an object.
How to calculate Volume of anticube given surface area?
The Volume of anticube given surface area formula is defined as the quantity of three-dimensional space enclosed by a closed surface where a = edge length of anticube is calculated using volume = (1/3)*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((sqrt(Area/(2*(1+sqrt(3)))))^3). To calculate Volume of anticube given surface area, you need Area (A). With our tool, you need to enter the respective value for 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 Volume?
In this formula, Volume uses Area. We can use 11 other way(s) to calculate the same, which is/are as follows -
  • volume = pi*(Radius)^2*((4/3)*Radius+Side)
  • volume = (1/3)*pi*(Radius)^2*Height
  • volume = pi*(Radius)^2*Height
  • volume = Side^3
  • volume = (2/3)*pi*(Radius)^3
  • volume = (4/3)*pi*(Radius)^3
  • volume = (1/3)*Side^2*Height
  • volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2))
  • volume = Width*Height*Length
  • volume = ((15+(7*sqrt(5)))*Side^3)/4
  • volume = (5*(3+sqrt(5))*Side^3)/12
Share Image
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!