Surface area of anticube given height Calculator

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✖Height is the distance between the lowest and highest points of a person standing upright.ⓘ Height [h]

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✖The surface area of a three-dimensional shape is the sum of all of the surface areas of each of the sides.ⓘ Surface area of anticube given height [SA]

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Mona Gladys

St Joseph's College (St Joseph's College), Bengaluru

Mona Gladys has created this Calculator and 1000+ more calculators!

Shweta Patil

Walchand College of Engineering (WCE), Sangli

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Surface area of anticube given height Solution

STEP 0: Pre-Calculation Summary

Formula Used

surface_area = 2*(1+sqrt(3))*((Height/(sqrt(1-(1/(2+sqrt(2))))))^2)
SA = 2*(1+sqrt(3))*((h/(sqrt(1-(1/(2+sqrt(2))))))^2)
This formula uses 1 Functions, 1 Variables

Functions Used

sqrt - Squre root function, sqrt(Number)

Variables Used

Height - Height is the distance between the lowest and highest points of a person standing upright. (Measured in Meter)

STEP 1: Convert Input(s) to Base Unit

Height: 12 Meter --> 12 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

SA = 2*(1+sqrt(3))*((h/(sqrt(1-(1/(2+sqrt(2))))))^2) --> 2*(1+sqrt(3))*((12/(sqrt(1-(1/(2+sqrt(2))))))^2)

Evaluating ... ...

SA = 1112.74655188501

STEP 3: Convert Result to Output's Unit

1112.74655188501 Square Meter --> No Conversion Required

FINAL ANSWER

1112.74655188501 Square Meter <-- Surface Area

(Calculation completed in 00.015 seconds)

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< 11 Other formulas that you can solve using the same Inputs

Volume of a Conical Frustum

volume = (1/3)*pi*Height*(Radius 1^2+Radius 2^2+(Radius 1*Radius 2)) Go

Total Surface Area of a Cone

total_surface_area = pi*Radius*(Radius+sqrt(Radius^2+Height^2)) Go

Lateral Surface Area of a Cone

lateral_surface_area = pi*Radius*sqrt(Radius^2+Height^2) Go

Total Surface Area of a Cylinder

total_surface_area = 2*pi*Radius*(Height+Radius) Go

Lateral Surface Area of a Cylinder

lateral_surface_area = 2*pi*Radius*Height Go

Volume of a Circular Cone

volume = (1/3)*pi*(Radius)^2*Height Go

Area of a Trapezoid

area = ((Base A+Base B)/2)*Height Go

Volume of a Circular Cylinder

volume = pi*(Radius)^2*Height Go

Volume of a Pyramid

volume = (1/3)*Side^2*Height Go

Area of a Triangle when base and height are given

area = 1/2*Base*Height Go

Area of a Parallelogram when base and height are given

area = Base*Height Go

< 11 Other formulas that calculate the same Output

Surface Area of Cuboid

surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth)) Go

Surface Area of a Rectangular Prism

surface_area = 2*(Length*Width+Length*Height+Width*Height) Go

Surface Area of triangular prism

surface_area = (Base*Height)+(2*Length*Side)+(Length*Base) Go

Surface Area of a Capsule

surface_area = 2*pi*Radius*(2*Radius+Side) Go

Surface Area of Prisms

surface_area = (2*Base Area)+(Height*Base Perimeter) Go

Surface Area of Dodecahedron

surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2) Go

Surface Area of Regular Octahedron

surface_area = 2*(sqrt(3))*(Side^2) Go

Surface Area of Icosahedron

surface_area = 5*(sqrt(3))*(Side^2) Go

Surface Area of Regular Tetrahedron

surface_area = (sqrt(3))*(Side^2) Go

Surface Area of a Sphere

surface_area = 4*pi*Radius^2 Go

Surface Area of a Cube

surface_area = 6*Side^2 Go

Surface area of anticube given height Formula

surface_area = 2*(1+sqrt(3))*((Height/(sqrt(1-(1/(2+sqrt(2))))))^2)
SA = 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 Surface area of anticube given height?

Surface area of anticube given height calculator uses surface_area = 2*(1+sqrt(3))*((Height/(sqrt(1-(1/(2+sqrt(2))))))^2) to calculate the Surface Area, The Surface area of anticube given height formula is defined as measure of the total area that the surface of the object occupies of a anticube, where a =anticube edge. Surface Area and is denoted by SA symbol.

How to calculate Surface area of anticube given height using this online calculator? To use this online calculator for Surface area of anticube given height, enter Height (h) and hit the calculate button. Here is how the Surface area of anticube given height calculation can be explained with given input values -> 1112.747 = 2*(1+sqrt(3))*((12/(sqrt(1-(1/(2+sqrt(2))))))^2).

FAQ

What is Surface area of anticube given height?

The Surface area of anticube given height formula is defined as measure of the total area that the surface of the object occupies of a anticube, where a =anticube edge and is represented as SA = 2*(1+sqrt(3))*((h/(sqrt(1-(1/(2+sqrt(2))))))^2) or surface_area = 2*(1+sqrt(3))*((Height/(sqrt(1-(1/(2+sqrt(2))))))^2). Height is the distance between the lowest and highest points of a person standing upright.

How to calculate Surface area of anticube given height?

The Surface area of anticube given height formula is defined as measure of the total area that the surface of the object occupies of a anticube, where a =anticube edge is calculated using surface_area = 2*(1+sqrt(3))*((Height/(sqrt(1-(1/(2+sqrt(2))))))^2). To calculate Surface area of anticube given height, you need Height (h). With our tool, you need to enter the respective value for Height 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 Surface Area?

In this formula, Surface Area uses Height. We can use 11 other way(s) to calculate the same, which is/are as follows -

surface_area = 2*pi*Radius*(2*Radius+Side)
surface_area = 6*Side^2
surface_area = 2*(Length*Width+Length*Height+Width*Height)
surface_area = 4*pi*Radius^2
surface_area = 3*(sqrt(25+(10*sqrt(5))))*(Side^2)
surface_area = 5*(sqrt(3))*(Side^2)
surface_area = 2*(sqrt(3))*(Side^2)
surface_area = (sqrt(3))*(Side^2)
surface_area = 2*((Length*Height)+(Height*Breadth)+(Length*Breadth))
surface_area = (2*Base Area)+(Height*Base Perimeter)
surface_area = (Base*Height)+(2*Length*Side)+(Length*Base)

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