Volume of Anticube given Height Calculator

✖Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.ⓘ Height of Anticube [h]

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

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Volume of Anticube given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^3
V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(h/(sqrt(1-1/(2+sqrt(2)))))^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.
Height of Anticube - (Measured in Meter) - Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

STEP 1: Convert Input(s) to Base Unit

Height of Anticube: 8 Meter --> 8 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(h/(sqrt(1-1/(2+sqrt(2)))))^3 --> 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(8/(sqrt(1-1/(2+sqrt(2)))))^3

Evaluating ... ...

V = 824.05156262335

STEP 3: Convert Result to Output's Unit

824.05156262335 Cubic Meter --> No Conversion Required

FINAL ANSWER

824.05156262335 ≈ 824.0516 Cubic Meter <-- Volume of Anticube

(Calculation completed in 00.006 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 given Height Formula

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
V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(h/(sqrt(1-1/(2+sqrt(2)))))^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 Height?

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

How to calculate Volume of Anticube given Height using this online calculator? To use this online calculator for Volume of Anticube given Height, enter Height of Anticube (h) and hit the calculate button. Here is how the Volume of Anticube given Height calculation can be explained with given input values -> 824.0516 = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(8/(sqrt(1-1/(2+sqrt(2)))))^3.

FAQ

What is Volume of Anticube given Height?

The Volume of Anticube given Height formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube, calculated using height and is represented as V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(h/(sqrt(1-1/(2+sqrt(2)))))^3 or Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^3. Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

How to calculate Volume of Anticube given Height?

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