FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Volume of Triangular Cupola given Surface to Volume Ratio Formula

GoVolume of Triangular Cupola Formula

GoVolume of Triangular Cupola given Height Formula

Fx Copy

LaTeX Copy

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

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

Volume of Triangular Cupola given Surface to Volume Ratio Example

With values

With units

Only example

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

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

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

1312.8444 = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6})}^{3}

1312.8444m³ = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6m⁻¹})}^{3}

1312.8444 = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6})}^{3}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Volume of Triangular Cupola given Surface to Volume Ratio

Volume of Triangular Cupola given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6m⁻¹})}^{3}

Next Step Prepare to Evaluate

∴

V = \frac{5}{3 \cdot \sqrt{2}} \cdot {(\frac{(3 + \frac{5 \cdot \sqrt{3}}{2}) \cdot (3 \cdot \sqrt{2})}{5 \cdot 0.6})}^{3}

Next Step Evaluate

∴

V = 1312.84437038563m³

LAST Step Rounding Answer

∴

V = 1312.8444m³

Volume of Triangular Cupola given Surface to Volume Ratio 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

Surface to Volume Ratio of Triangular Cupola

Surface to Volume Ratio of Triangular Cupola is the numerical ratio of the total surface area of a Triangular Cupola to the volume of the Triangular 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 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 Total Surface Area

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

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

Volume of Triangular Cupola given Surface to Volume Ratio evaluator uses 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) to evaluate the Volume of Triangular Cupola, The Volume of Triangular Cupola given Surface to Volume Ratio formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Triangular Cupola and is calculated using the surface to volume ratio of the Triangular Cupola. Volume of Triangular Cupola is denoted by V symbol.

How to evaluate Volume of Triangular Cupola given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Volume of Triangular Cupola given Surface to Volume Ratio, enter Surface to Volume Ratio of Triangular Cupola (R_A/V) and hit the calculate button.

FAQs on Volume of Triangular Cupola given Surface to Volume Ratio

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

The formula of Volume of Triangular Cupola given Surface to Volume Ratio is expressed as 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). Here is an example- 1312.844 = 5/(3*sqrt(2))*(((3+(5*sqrt(3))/2)*(3*sqrt(2)))/(5*0.6))^(3).

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

With Surface to Volume Ratio of Triangular Cupola (R_A/V) we can find Volume of Triangular Cupola given Surface to Volume Ratio using the formula - 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). 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))*(Total Surface Area of Triangular Cupola/(3+(5*sqrt(3))/2))^(3/2)

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

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

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

Volume of Triangular 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 Triangular Cupola given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit