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Volume of Square Cupola given Total Surface Area Formula

GoVolume of Square Cupola Formula

GoVolume of Square Cupola given Height 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{TSA}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

V - Volume of Square Cupola?TSA - Total Surface Area of Square Cupola?

Volume of Square Cupola given Total Surface Area Example

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

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

Here is how the Volume of Square Cupola given Total Surface Area equation looks like.

1952.7804 = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{1160}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

1952.7804m³ = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{1160m²}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

1952.7804 = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{1160}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

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Volume of Square Cupola given Total Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{1160m²}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = (1 + \frac{2 \cdot \sqrt{2}}{3}) \cdot {(\frac{1160}{7 + (2 \cdot \sqrt{2}) + \sqrt{3}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 1952.78043971981m³

LAST Step Rounding Answer

∴

V = 1952.7804m³

Volume of Square Cupola given Total Surface Area 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

Total Surface Area of Square Cupola

Total Surface Area of Square Cupola is the total amount of 2D space occupied by all the faces of the Square Cupola.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area 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 Surface to Volume Ratio

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}

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

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

How to evaluate Volume of Square Cupola given Total Surface Area using this online evaluator? To use this online evaluator for Volume of Square Cupola given Total Surface Area, enter Total Surface Area of Square Cupola (TSA) and hit the calculate button.

FAQs on Volume of Square Cupola given Total Surface Area

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

The formula of Volume of Square Cupola given Total Surface Area is expressed as Volume of Square Cupola = (1+(2*sqrt(2))/3)*(Total Surface Area of Square Cupola/(7+(2*sqrt(2))+sqrt(3)))^(3/2). Here is an example- 1952.78 = (1+(2*sqrt(2))/3)*(1160/(7+(2*sqrt(2))+sqrt(3)))^(3/2).

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

With Total Surface Area of Square Cupola (TSA) we can find Volume of Square Cupola given Total Surface Area using the formula - Volume of Square Cupola = (1+(2*sqrt(2))/3)*(Total Surface Area of Square Cupola/(7+(2*sqrt(2))+sqrt(3)))^(3/2). 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)*((7+(2*sqrt(2))+sqrt(3))/((1+(2*sqrt(2))/3)*Surface to Volume Ratio of Square Cupola))^3

Can the Volume of Square Cupola given Total Surface Area be negative?

No, the Volume of Square Cupola given Total Surface Area, measured in Volume cannot be negative.

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

Volume of Square Cupola given Total Surface Area 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 Total Surface Area can be measured.

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