Total Surface Area of Anticube 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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Formula

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Total Surface Area of Anticube

Formula

`"TSA" = 2*(1+sqrt(3))*"l"_{"e"}^2`

Example

`"546.4102m²"=2*(1+sqrt(3))*("10m")^2`

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Total Surface Area of Anticube Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Anticube = 2*(1+sqrt(3))*Edge Length of Anticube^2
TSA = 2*(1+sqrt(3))*l_e^2
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.
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

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

Evaluating ... ...

TSA = 546.410161513775

STEP 3: Convert Result to Output's Unit

546.410161513775 Square Meter --> No Conversion Required

FINAL ANSWER

546.410161513775 ≈ 546.4102 Square Meter <-- Total Surface Area of Anticube

(Calculation completed in 00.004 seconds)

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Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

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Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

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< 4 Total Surface Area of Anticube Calculators

Total Surface Area of Anticube given Surface to Volume Ratio

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

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

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

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

Total Surface Area of Anticube Formula

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

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?

Total Surface Area of Anticube calculator uses Total Surface Area of Anticube = 2*(1+sqrt(3))*Edge Length of Anticube^2 to calculate the Total Surface Area of Anticube, The Total Surface Area of Anticube formula is defined as the measure of the total area that the surface of the object occupies of a Anticube. Total Surface Area of Anticube is denoted by TSA symbol.

How to calculate Total Surface Area of Anticube using this online calculator? To use this online calculator for Total Surface Area of Anticube, enter Edge Length of Anticube (l_e) and hit the calculate button. Here is how the Total Surface Area of Anticube calculation can be explained with given input values -> 546.4102 = 2*(1+sqrt(3))*10^2.

FAQ

What is Total Surface Area of Anticube?

The Total Surface Area of Anticube formula is defined as the measure of the total area that the surface of the object occupies of a Anticube and is represented as TSA = 2*(1+sqrt(3))*l_e^2 or Total Surface Area of Anticube = 2*(1+sqrt(3))*Edge Length of Anticube^2. Edge Length of Anticube is defined as the length of the straight line joining two adjacent vertices of the Anticube.

How to calculate Total Surface Area of Anticube?

The Total Surface Area of Anticube formula is defined as the measure of the total area that the surface of the object occupies of a Anticube is calculated using Total Surface Area of Anticube = 2*(1+sqrt(3))*Edge Length of Anticube^2. To calculate Total Surface Area 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 Total Surface Area of Anticube?

In this formula, Total Surface Area of Anticube uses Edge Length 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))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^2
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 = 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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