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Volume of Square Cupola given Surface to Volume Ratio Formula

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Volume of Square Cupola is the total quantity of three-dimensional space enclosed by the surface of the Square Cupola. Check FAQs

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot R A/V})}^{3}

V - Volume of Square Cupola?R_A/V - Surface to Volume Ratio of Square Cupola?

Volume of Square Cupola given Surface to Volume Ratio Example

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Here is how the Volume of Square Cupola given Surface to Volume Ratio equation looks like with Values.

Here is how the Volume of Square Cupola given Surface to Volume Ratio equation looks like with Units.

Here is how the Volume of Square Cupola given Surface to Volume Ratio equation looks like.

1895.0182 = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6})}^{3}

1895.0182m³ = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6m⁻¹})}^{3}

1895.0182 = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6})}^{3}

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Volume of Square Cupola given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Volume of Square Cupola given Surface to Volume Ratio?

FIRST Step Consider the formula

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot R A/V})}^{3}

Next Step Substitute values of Variables

∴

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{7 + (2 \cdot \sqrt{2}) + \sqrt{3}}{(1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot 0.6})}^{3}

Next Step Evaluate

∴

V = 1895.01819414517m³

LAST Step Rounding Answer

∴

V = 1895.0182m³

Volume of Square Cupola given Surface to Volume Ratio Formula Elements

Variables

Functions

Volume of Square Cupola

Volume of Square Cupola is the total quantity of three-dimensional space enclosed by the surface of the Square Cupola.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Square Cupola

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.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Square Cupola

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.

Syntax: sqrt(Number)

Other Formulas to find Volume of Square Cupola

Go Volume of Square Cupola

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {l e}^{3}

Go Volume of Square Cupola given Height

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{h}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{4})}^{2})}})}^{3}

Go Volume of Square Cupola given Total Surface Area

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{TSA}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

How to Evaluate Volume of Square Cupola given Surface to Volume Ratio?

Volume of Square Cupola given Surface to Volume Ratio evaluator 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 evaluate 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 evaluate Volume of Square Cupola given Surface to Volume Ratio using this online evaluator? To use this online evaluator 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.

FAQs on Volume of Square Cupola given Surface to Volume Ratio

What is the formula to find Volume of Square Cupola given Surface to Volume Ratio?

The formula of Volume of Square Cupola given Surface to Volume Ratio is expressed as 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. Here is an example- 1895.018 = (1+(2*sqrt(2))/3)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*0.6))^3.

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

With Surface to Volume Ratio of Square Cupola (R_A/V) we can find Volume of Square Cupola given Surface to Volume Ratio using the formula - 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. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Square Cupola?

Here are the different ways to Calculate Volume of Square Cupola-

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)

Can the Volume of Square Cupola given Surface to Volume Ratio be negative?

No, the Volume of Square Cupola given Surface to Volume Ratio, measured in Volume cannot be negative.

Which unit is used to measure Volume of Square Cupola given Surface to Volume Ratio?

Volume of Square Cupola given Surface to Volume Ratio is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Square Cupola given Surface to Volume Ratio can be measured.

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