Total Surface Area 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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✖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 Height [TSA]

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Total Surface Area of Anticube given Height Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Anticube = 2*(1+sqrt(3))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^2
TSA = 2*(1+sqrt(3))*(h/(sqrt(1-1/(2+sqrt(2)))))^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.
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

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

Evaluating ... ...

TSA = 494.554023060003

STEP 3: Convert Result to Output's Unit

494.554023060003 Square Meter --> No Conversion Required

FINAL ANSWER

494.554023060003 ≈ 494.554 Square Meter <-- Total Surface Area of Anticube

(Calculation completed in 00.004 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 Height Formula

LaTeX Go

Total Surface Area of Anticube = 2*(1+sqrt(3))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^2
TSA = 2*(1+sqrt(3))*(h/(sqrt(1-1/(2+sqrt(2)))))^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 given Height?

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

How to calculate Total Surface Area of Anticube given Height using this online calculator? To use this online calculator for Total Surface Area of Anticube given Height, enter Height of Anticube (h) and hit the calculate button. Here is how the Total Surface Area of Anticube given Height calculation can be explained with given input values -> 494.554 = 2*(1+sqrt(3))*(8/(sqrt(1-1/(2+sqrt(2)))))^2.

FAQ

What is Total Surface Area of Anticube given Height?

The Total Surface Area of Anticube given Height formula is defined as the measure of the total area that the surface of the object occupies of an Anticube, calculated using height and is represented as TSA = 2*(1+sqrt(3))*(h/(sqrt(1-1/(2+sqrt(2)))))^2 or Total Surface Area of Anticube = 2*(1+sqrt(3))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^2. Height of Anticube is defined as the measure of the vertical distance between the top and bottom square-shaped faces.

How to calculate Total Surface Area of Anticube given Height?

The Total Surface Area of Anticube given Height formula is defined as the measure of the total area that the surface of the object occupies of an Anticube, calculated using height is calculated using Total Surface Area of Anticube = 2*(1+sqrt(3))*(Height of Anticube/(sqrt(1-1/(2+sqrt(2)))))^2. To calculate Total Surface Area 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 Total Surface Area of Anticube?

In this formula, Total Surface Area of Anticube uses Height 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))*((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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