Volume 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]

+10%

-10%

✖Volume of Square Cupola is the total quantity of three-dimensional space enclosed by the surface of the Square Cupola.ⓘ Volume of Square Cupola given Surface to Volume Ratio [V]

⎘ Copy

👎

Formula

✖

Volume of Square Cupola given Surface to Volume Ratio

Formula

`"V" = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*"R"_{"A/V"}))^3`

Example

`"1895.018m³"=(1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*"0.6m⁻¹"))^3`

Calculator

LaTeX

Reset

👍

Download Square Cupola Formulas PDF PDF Image

Volume of Square Cupola given Surface to Volume Ratio Solution

STEP 0: Pre-Calculation Summary

Formula Used

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

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.
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

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

Evaluating ... ...

V = 1895.01819414517

STEP 3: Convert Result to Output's Unit

1895.01819414517 Cubic Meter --> No Conversion Required

FINAL ANSWER

1895.01819414517 ≈ 1895.018 Cubic Meter <-- Volume of Square Cupola

(Calculation completed in 00.020 seconds)

You are here -

Home » Math » Geometry » 3D Geometry » Johnson Solids » Cupola » Square Cupola » Volume of Square Cupola » Volume of Square Cupola given Surface to Volume Ratio

Credits

Created by Mona Gladys

St Joseph's College (SJC), Bengaluru

Mona Gladys has created this Calculator and 2000+ more calculators!

Verified by Shweta Patil

Walchand College of Engineering (WCE), Sangli

Shweta Patil has verified this Calculator and 1100+ more calculators!

< 4 Volume of Square Cupola Calculators

Volume of Square Cupola given Surface to Volume Ratio

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

Volume of Square Cupola given Height

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

Volume of Square Cupola given Total Surface Area

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

Volume of Square Cupola

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

Volume of Square Cupola given Surface to Volume Ratio Formula

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 Volume of Square Cupola given Surface to Volume Ratio?

Volume of Square Cupola given Surface to Volume Ratio calculator uses Volume of Square Cupola = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^3 to calculate the Volume of Square Cupola, The Volume of Square Cupola given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Cupola and is calculated using the surface to volume ratio of the Square Cupola. Volume of Square Cupola is denoted by V symbol.

How to calculate Volume of Square Cupola given Surface to Volume Ratio using this online calculator? To use this online calculator for Volume 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 Volume of Square Cupola given Surface to Volume Ratio calculation can be explained with given input values -> 1895.018 = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*0.6))^3.

FAQ

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

The Volume of Square Cupola given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Cupola and is calculated using the surface to volume ratio of the Square Cupola and is represented as V = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*R_A/V))^3 or Volume of Square Cupola = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^3. 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 Volume of Square Cupola given Surface to Volume Ratio?

The Volume of Square Cupola given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Square Cupola and is calculated using the surface to volume ratio of the Square Cupola is calculated using Volume of Square Cupola = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^3. To calculate Volume 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 Volume of Square Cupola?

In this formula, Volume 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 -

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

Home

FREE PDFs

🔍 Search