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Volume of Triangular Cupola given Total Surface Area Formula

GoVolume of Triangular Cupola Formula

GoVolume of Triangular Cupola given Height Formula

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

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{TSA}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

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

Volume of Triangular Cupola given Total Surface Area Example

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

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

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

1171.2532 = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{730}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

1171.2532m³ = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{730m²}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

1171.2532 = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{730}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

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Volume of Triangular Cupola given Total Surface Area Solution

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

FIRST Step Consider the formula

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{TSA}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

Next Step Substitute values of Variables

∴

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{730m²}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

Next Step Prepare to Evaluate

∴

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{730}{3 + \frac{5 \cdot \sqrt{3}}{2}})}^{\frac{3}{2}}

Next Step Evaluate

∴

V = 1171.2532028651m³

LAST Step Rounding Answer

∴

V = 1171.2532m³

Volume of Triangular Cupola given Total Surface Area Formula Elements

Variables

Functions

Volume of Triangular Cupola

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Triangular Cupola

Total Surface Area of Triangular Cupola

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

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Triangular 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 Triangular Cupola

Go Volume of Triangular Cupola

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {l e}^{3}

Go Volume of Triangular Cupola given Height

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{h}{\sqrt{1 - (\frac{1}{4} \cdot \cos e c {(\frac{π}{3})}^{2})}})}^{3}

Go Volume of Triangular Cupola given Surface to Volume Ratio

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot R A/V})}^{3}

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

Volume of Triangular Cupola given Total Surface Area evaluator uses Volume of Triangular Cupola = 5/(3*sqrt(2))*(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))^(3/2) to evaluate the Volume of Triangular Cupola, The Volume of Triangular Cupola given Total Surface Area formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola and is calculated using the total surface area of the Triangular Cupola. Volume of Triangular Cupola is denoted by V symbol.

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

FAQs on Volume of Triangular Cupola given Total Surface Area

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

The formula of Volume of Triangular Cupola given Total Surface Area is expressed as Volume of Triangular Cupola = 5/(3*sqrt(2))*(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))^(3/2). Here is an example- 1171.253 = 5/(3*sqrt(2))*(730/(3+(5*sqrt(3))/2))^(3/2).

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

With Total Surface Area of Triangular Cupola (TSA) we can find Volume of Triangular Cupola given Total Surface Area using the formula - Volume of Triangular Cupola = 5/(3*sqrt(2))*(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))^(3/2). This formula also uses Square Root (sqrt) function(s).

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

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

Volume of Triangular Cupola=5/(3*sqrt(2))*Edge Length of Triangular Cupola^(3)
Volume of Triangular Cupola=5/(3*sqrt(2))*(Height of Triangular Cupola/sqrt(1-(1/4*cosec(pi/3)^(2))))^3
Volume of Triangular Cupola=5/(3*sqrt(2))*(((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*Surface to Volume Ratio of Triangular Cupola))^(3)

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

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

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

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

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