Total Surface Area of Anticube given Volume Calculator

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

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✖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 given Volume [TSA]

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Total Surface Area of Anticube given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
Volume of Anticube - (Measured in Cubic Meter) - Volume of Anticube is the amount of 3-dimensional space enclosed by the surface of Anticube.

STEP 1: Convert Input(s) to Base Unit

Volume of Anticube: 955 Cubic Meter --> 955 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = 2*(1+sqrt(3))*((3*V)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(2/3) --> 2*(1+sqrt(3))*((3*955)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(2/3)

Evaluating ... ...

TSA = 545.648621000196

STEP 3: Convert Result to Output's Unit

545.648621000196 Square Meter --> No Conversion Required

FINAL ANSWER

545.648621000196 ≈ 545.6486 Square Meter <-- Total Surface Area of Anticube

(Calculation completed in 00.020 seconds)

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< Total Surface Area of Anticube Calculators

Total Surface Area of Anticube given Surface to Volume Ratio

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

Total Surface Area of Anticube given Volume

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

Total Surface Area of Anticube given Height

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

Total Surface Area of Anticube

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

Total Surface Area of Anticube given Volume Formula

LaTeX Go

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

Total Surface Area of Anticube given Volume calculator uses Total Surface Area of Anticube = 2*(1+sqrt(3))*((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(2/3) to calculate the Total Surface Area of Anticube, The Total Surface Area of Anticube given Volume formula is defined as the measure of the total area that the surface of the object occupies of an Anticube, calculated using volume. Total Surface Area of Anticube is denoted by TSA symbol.

How to calculate Total Surface Area of Anticube given Volume using this online calculator? To use this online calculator for Total Surface Area of Anticube given Volume, enter Volume of Anticube (V) and hit the calculate button. Here is how the Total Surface Area of Anticube given Volume calculation can be explained with given input values -> 545.6486 = 2*(1+sqrt(3))*((3*955)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(2/3).

FAQ

What is Total Surface Area of Anticube given Volume?

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

How to calculate Total Surface Area of Anticube given Volume?

The Total Surface Area of Anticube given Volume formula is defined as the measure of the total area that the surface of the object occupies of an Anticube, calculated using volume is calculated using Total Surface Area of Anticube = 2*(1+sqrt(3))*((3*Volume of Anticube)/(sqrt(1+sqrt(2))*sqrt(2+sqrt(2))))^(2/3). To calculate Total Surface Area of Anticube given Volume, you need Volume of Anticube (V). With our tool, you need to enter the respective value for Volume 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 Total Surface Area of Anticube?

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

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

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