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

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Edge Length of Anticube given Total Surface Area Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

l_e = sqrt(TSA/(2*(1+sqrt(3)))) --> sqrt(545/(2*(1+sqrt(3))))

Evaluating ... ...

l_e = 9.98708779030502

STEP 3: Convert Result to Output's Unit

9.98708779030502 Meter --> No Conversion Required

FINAL ANSWER

9.98708779030502 ≈ 9.987088 Meter <-- Edge Length of Anticube

(Calculation completed in 00.008 seconds)

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< Edge Length of Anticube Calculators

Edge Length of Anticube given Surface to Volume Ratio

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

Edge Length of Anticube given Volume

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

Edge Length of Anticube given Total Surface Area

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

Edge Length of Anticube

LaTeX Go Edge Length of Anticube = Height of Anticube/(sqrt(1-1/(2+sqrt(2))))

Edge Length of Anticube given Total Surface Area Formula

LaTeX Go

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

Edge Length of Anticube given Total Surface Area calculator uses Edge Length of Anticube = sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))) to calculate the Edge Length of Anticube, The Edge Length of Anticube given Total Surface Area formula is defined as the straight line joining two adjacent vertices of the Anticube, calculated using total surface area. Edge Length of Anticube is denoted by l_e symbol.

How to calculate Edge Length of Anticube given Total Surface Area using this online calculator? To use this online calculator for Edge Length of Anticube given Total Surface Area, enter Total Surface Area of Anticube (TSA) and hit the calculate button. Here is how the Edge Length of Anticube given Total Surface Area calculation can be explained with given input values -> 9.987088 = sqrt(545/(2*(1+sqrt(3)))).

FAQ

What is Edge Length of Anticube given Total Surface Area?

The Edge Length of Anticube given Total Surface Area formula is defined as the straight line joining two adjacent vertices of the Anticube, calculated using total surface area and is represented as l_e = sqrt(TSA/(2*(1+sqrt(3)))) or Edge Length of Anticube = sqrt(Total Surface Area of Anticube/(2*(1+sqrt(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 Edge Length of Anticube given Total Surface Area?

The Edge Length of Anticube given Total Surface Area formula is defined as the straight line joining two adjacent vertices of the Anticube, calculated using total surface area is calculated using Edge Length of Anticube = sqrt(Total Surface Area of Anticube/(2*(1+sqrt(3)))). To calculate Edge Length 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 Edge Length of Anticube?

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

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

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