Edge Length of Square Cupola given Surface to Volume Ratio Calculator

✖Surface to Volume Ratio of Square Cupola is the numerical ratio of the total surface area of a Square Cupola to the volume of the Square Cupola.ⓘ Surface to Volume Ratio of Square Cupola [R_A/V]

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✖Edge Length of Square Cupola is the length of any edge of the Square Cupola.ⓘ Edge Length of Square Cupola given Surface to Volume Ratio [l_e]

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Edge Length of Square Cupola given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

Edge Length of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola)
l_e = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*R_A/V)
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 Square Cupola - (Measured in Meter) - Edge Length of Square Cupola is the length of any edge of the Square Cupola.
Surface to Volume Ratio of Square Cupola - (Measured in 1 per Meter) - Surface to Volume Ratio of Square Cupola is the numerical ratio of the total surface area of a Square Cupola to the volume of the Square Cupola.

STEP 1: Convert Input(s) to Base Unit

Surface to Volume Ratio of Square Cupola: 0.6 1 per Meter --> 0.6 1 per Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

l_e = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*R_A/V) --> (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*0.6)

Evaluating ... ...

l_e = 9.91732219077758

STEP 3: Convert Result to Output's Unit

9.91732219077758 Meter --> No Conversion Required

FINAL ANSWER

9.91732219077758 ≈ 9.917322 Meter <-- Edge Length of Square Cupola

(Calculation completed in 00.006 seconds)

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< Edge Length of Square Cupola Calculators

Edge Length of Square Cupola given Surface to Volume Ratio

LaTeX Go Edge Length of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola)

Edge Length of Square Cupola given Total Surface Area

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

Edge Length of Square Cupola given Height

LaTeX Go Edge Length of Square Cupola = Height of Square Cupola/sqrt(1-(1/4*cosec(pi/4)^(2)))

Edge Length of Square Cupola given Volume

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

Edge Length of Square Cupola given Surface to Volume Ratio Formula

LaTeX Go

Edge Length of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola)
l_e = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*R_A/V)

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 Edge Length of Square Cupola given Surface to Volume Ratio?

Edge Length of Square Cupola given Surface to Volume Ratio calculator uses Edge Length of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola) to calculate the Edge Length of Square Cupola, The Edge Length of Square Cupola given Surface to Volume Ratio formula is defined as the length of any edge of the Square Cupola and is calculated using the surface to volume ratio of the Square Cupola. Edge Length of Square Cupola is denoted by l_e symbol.

How to calculate Edge Length of Square Cupola given Surface to Volume Ratio using this online calculator? To use this online calculator for Edge Length of Square Cupola given Surface to Volume Ratio, enter Surface to Volume Ratio of Square Cupola (R_A/V) and hit the calculate button. Here is how the Edge Length of Square Cupola given Surface to Volume Ratio calculation can be explained with given input values -> 9.917322 = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*0.6).

FAQ

What is Edge Length of Square Cupola given Surface to Volume Ratio?

The Edge Length of Square Cupola given Surface to Volume Ratio formula is defined as the length of any edge of the Square Cupola and is calculated using the surface to volume ratio of the Square Cupola and is represented as l_e = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*R_A/V) or Edge Length of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola). Surface to Volume Ratio of Square Cupola is the numerical ratio of the total surface area of a Square Cupola to the volume of the Square Cupola.

How to calculate Edge Length of Square Cupola given Surface to Volume Ratio?

The Edge Length of Square Cupola given Surface to Volume Ratio formula is defined as the length of any edge of the Square Cupola and is calculated using the surface to volume ratio of the Square Cupola is calculated using Edge Length of Square Cupola = (7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola). To calculate Edge Length of Square Cupola given Surface to Volume Ratio, you need Surface to Volume Ratio of Square Cupola (R_A/V). With our tool, you need to enter the respective value for Surface to Volume Ratio 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 Edge Length of Square Cupola?

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

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

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