Volume of Anticube Calculator

✖Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.ⓘ Edge Length of Anticube [l_e]

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✖Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube.ⓘ Volume of Anticube [V]

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Volume of Anticube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube^3
V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*l_e^3
This formula uses 1 Functions, 2 Variables

Functions Used

sqrt - A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number., sqrt(Number)

Variables Used

Volume of Anticube - (Measured in Cubic Meter) - Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube.
Edge Length of Anticube - (Measured in Meter) - Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.

STEP 1: Convert Input(s) to Base Unit

Edge Length of Anticube: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*l_e^3 --> 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*10^3

Evaluating ... ...

V = 956.999981836717

STEP 3: Convert Result to Output's Unit

956.999981836717 Cubic Meter --> No Conversion Required

FINAL ANSWER

956.999981836717 ≈ 957 Cubic Meter <-- Volume of Anticube

(Calculation completed in 00.004 seconds)

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< Volume of Anticube Calculators

Volume of Anticube given Surface to Volume Ratio

LaTeX Go Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube))^3

Volume of Anticube given Total Surface Area

LaTeX Go Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3

Volume of Anticube given Height

LaTeX Go Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^3

Volume of Anticube

LaTeX Go Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube^3

Volume of Anticube Formula

LaTeX Go

Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube^3
V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*l_e^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?

Volume of Anticube calculator uses Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube^3 to calculate the Volume of Anticube, The Volume of Anticube formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube. Volume of Anticube is denoted by V symbol.

How to calculate Volume of Anticube using this online calculator? To use this online calculator for Volume of Anticube, enter Edge Length of Anticube (l_e) and hit the calculate button. Here is how the Volume of Anticube calculation can be explained with given input values -> 957 = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*10^3.

FAQ

What is Volume of Anticube?

The Volume of Anticube formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube and is represented as V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*l_e^3 or Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube^3. Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.

How to calculate Volume of Anticube?

The Volume of Anticube formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube is calculated using Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Edge Length of Anticube^3. To calculate Volume of Anticube, you need Edge Length of Anticube (l_e). With our tool, you need to enter the respective value for Edge Length of Anticube 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 of Anticube?

In this formula, Volume of Anticube uses Edge Length of Anticube. We can use 3 other way(s) to calculate the same, which is/are as follows -

Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^3
Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3
Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*((2*(1+sqrt(3)))/(1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*Surface to Volume Ratio of Anticube))^3

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