Total Surface Area of Square Cupola given Volume Calculator

✖Total Surface Area of Square Cupola is the total amount of 2D space occupied by all the faces of the Square Cupola.ⓘ Total Surface Area of Square Cupola given Volume [TSA]

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Formula

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Total Surface Area of Square Cupola given Volume

Formula

`"TSA" = (7+(2*sqrt(2))+sqrt(3))*("V"/(1+(2*sqrt(2))/3))^(2/3)`

Example

`"1139.003m²"=(7+(2*sqrt(2))+sqrt(3))*("1900m³"/(1+(2*sqrt(2))/3))^(2/3)`

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Total Surface Area of Square Cupola given Volume Solution

STEP 0: Pre-Calculation Summary

Formula Used

Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3)
TSA = (7+(2*sqrt(2))+sqrt(3))*(V/(1+(2*sqrt(2))/3))^(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 Square Cupola - (Measured in Square Meter) - Total Surface Area of Square Cupola is the total amount of 2D space occupied by all the faces of the Square Cupola.
Volume of Square Cupola - (Measured in Cubic Meter) - Volume of Square Cupola is the total quantity of three-dimensional space enclosed by the surface of the Square Cupola.

STEP 1: Convert Input(s) to Base Unit

Volume of Square Cupola: 1900 Cubic Meter --> 1900 Cubic Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

TSA = (7+(2*sqrt(2))+sqrt(3))*(V/(1+(2*sqrt(2))/3))^(2/3) --> (7+(2*sqrt(2))+sqrt(3))*(1900/(1+(2*sqrt(2))/3))^(2/3)

Evaluating ... ...

TSA = 1139.00276673763

STEP 3: Convert Result to Output's Unit

1139.00276673763 Square Meter --> No Conversion Required

FINAL ANSWER

1139.00276673763 ≈ 1139.003 Square Meter <-- Total Surface Area of Square Cupola

(Calculation completed in 00.004 seconds)

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< 4 Total Surface Area of Square Cupola Calculators

Total Surface Area of Square Cupola given Surface to Volume Ratio

Go Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^2

Total Surface Area of Square Cupola given Height

Go Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Height of Square Cupola^(2)/(1-(1/4*cosec(pi/4)^(2))))

Total Surface Area of Square Cupola given Volume

Go Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3)

Total Surface Area of Square Cupola

Go Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*Edge Length of Square Cupola^2

Total Surface Area of Square Cupola given Volume Formula

Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3)
TSA = (7+(2*sqrt(2))+sqrt(3))*(V/(1+(2*sqrt(2))/3))^(2/3)

What is a Square Cupola?

A cupola is a polyhedron with two opposite polygons, of which one has twice as many vertices as the other and with alternating triangles and quadrangles as side faces. When all faces of the cupola are regular, then the cupola itself is regular and is a Johnson solid. There are three regular cupolae, the triangular, the square, and the pentagonal cupola. A Square Cupola has 10 faces, 20 edges, and 12 vertices. Its top surface is a square and the base surface is a regular octagon.

How to Calculate Total Surface Area of Square Cupola given Volume?

Total Surface Area of Square Cupola given Volume calculator uses Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3) to calculate the Total Surface Area of Square Cupola, The Total Surface Area of Square Cupola given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Square Cupola and is calculated using the volume of the Square Cupola. Total Surface Area of Square Cupola is denoted by TSA symbol.

How to calculate Total Surface Area of Square Cupola given Volume using this online calculator? To use this online calculator for Total Surface Area of Square Cupola given Volume, enter Volume of Square Cupola (V) and hit the calculate button. Here is how the Total Surface Area of Square Cupola given Volume calculation can be explained with given input values -> 1139.003 = (7+(2*sqrt(2))+sqrt(3))*(1900/(1+(2*sqrt(2))/3))^(2/3).

FAQ

What is Total Surface Area of Square Cupola given Volume?

The Total Surface Area of Square Cupola given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Square Cupola and is calculated using the volume of the Square Cupola and is represented as TSA = (7+(2*sqrt(2))+sqrt(3))*(V/(1+(2*sqrt(2))/3))^(2/3) or Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3). Volume of Square Cupola is the total quantity of three-dimensional space enclosed by the surface of the Square Cupola.

How to calculate Total Surface Area of Square Cupola given Volume?

The Total Surface Area of Square Cupola given Volume formula is defined as the total amount of two-dimensional space occupied by all the faces of the Square Cupola and is calculated using the volume of the Square Cupola is calculated using Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Volume of Square Cupola/(1+(2*sqrt(2))/3))^(2/3). To calculate Total Surface Area of Square Cupola given Volume, you need Volume of Square Cupola (V). With our tool, you need to enter the respective value for Volume of Square Cupola 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 Square Cupola?

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

Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*Edge Length of Square Cupola^2
Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*(Height of Square Cupola^(2)/(1-(1/4*cosec(pi/4)^(2))))
Total Surface Area of Square Cupola = (7+(2*sqrt(2))+sqrt(3))*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^2

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