Volume of Anticube given Total Surface Area Calculator

✖Total Surface Area of Anticube is defined as the measure of the total amount of 2d space occupied by all the faces of the Anticube.ⓘ Total Surface Area of Anticube [TSA]

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

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Formula

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Volume of Anticube given Total Surface Area

Formula

`"V" = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt("TSA"/(2*(1+sqrt(3)))))^3`

Example

`"953.2977m³"=1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt("545m²"/(2*(1+sqrt(3)))))^3`

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Volume of Anticube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3
V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(TSA/(2*(1+sqrt(3)))))^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.
Total Surface Area of Anticube - (Measured in Square Meter) - Total Surface Area of Anticube is defined as the measure of the total amount of 2d space occupied by all the faces of the Anticube.

STEP 1: Convert Input(s) to Base Unit

Total Surface Area of Anticube: 545 Square Meter --> 545 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(TSA/(2*(1+sqrt(3)))))^3 --> 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(545/(2*(1+sqrt(3)))))^3

Evaluating ... ...

V = 953.297671122655

STEP 3: Convert Result to Output's Unit

953.297671122655 Cubic Meter --> No Conversion Required

FINAL ANSWER

953.297671122655 ≈ 953.2977 Cubic Meter <-- Volume of Anticube

(Calculation completed in 00.004 seconds)

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< 4 Volume of Anticube Calculators

Volume of Anticube given Surface to Volume Ratio

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

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

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

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

Volume of Anticube given Total Surface Area Formula

Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3
V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(TSA/(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 Total Surface Area?

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

How to calculate Volume of Anticube given Total Surface Area using this online calculator? To use this online calculator for Volume of Anticube given Total Surface Area, enter Total Surface Area of Anticube (TSA) and hit the calculate button. Here is how the Volume of Anticube given Total Surface Area calculation can be explained with given input values -> 953.2977 = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(545/(2*(1+sqrt(3)))))^3.

FAQ

What is Volume of Anticube given Total Surface Area?

The Volume of Anticube given Total Surface Area formula is defined as the quantity of three-dimensional space enclosed by the closed surface of an Anticube, calculated using the total surface area and is represented as V = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(TSA/(2*(1+sqrt(3)))))^3 or Volume of Anticube = 1/3*sqrt(1+sqrt(2))*sqrt(2+sqrt(2))*(sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))))^3. Total Surface Area of Anticube is defined as the measure of the total amount of 2d space occupied by all the faces of the Anticube.

How to calculate Volume of Anticube given Total Surface Area?

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