FormulaDen.com

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

Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Formula

GoRhombohedral Edge Length of Truncated Rhombohedron Formula

GoRhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius Formula

Fx Copy

LaTeX Copy

Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed. Check FAQs

l e(Rhombohedron) = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot R A/V}

l_{e(Rhombohedron)} - Rhombohedral Edge Length of Truncated Rhombohedron?R_A/V - Surface to Volume Ratio of Truncated Rhombohedron?

Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Example

With values

With units

Only example

Here is how the Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio equation looks like with Values.

Here is how the Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio equation looks like with Units.

Here is how the Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio equation looks like.

31.3274 = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2}

31.3274m = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2m⁻¹}

31.3274 = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2}

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 Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio

Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

FIRST Step Consider the formula

l e(Rhombohedron) = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot R A/V}

Next Step Substitute values of Variables

∴

l e(Rhombohedron) = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2m⁻¹}

Next Step Prepare to Evaluate

∴

l e(Rhombohedron) = \frac{\frac{1}{2} \cdot (3 \cdot \sqrt{5 + 2 \cdot \sqrt{5}} + 5 \cdot \sqrt{3} - 2 \cdot \sqrt{15})}{\frac{5}{3} \cdot \sqrt{\sqrt{5} - 2} \cdot 0.2}

Next Step Evaluate

∴

l e(Rhombohedron) = 31.3274354804066m

LAST Step Rounding Answer

∴

l e(Rhombohedron) = 31.3274m

Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio Formula Elements

Variables

Functions

Rhombohedral Edge Length of Truncated Rhombohedron

Rhombohedral Edge Length of Truncated Rhombohedron is the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed.

Symbol: l_{e(Rhombohedron)}

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Rhombohedral Edge Length of Truncated Rhombohedron

Surface to Volume Ratio of Truncated Rhombohedron

Surface to Volume Ratio of Truncated Rhombohedron is the numerical ratio of the total surface area of a Truncated Rhombohedron to the volume of the Truncated Rhombohedron.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated Rhombohedron

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 Rhombohedral Edge Length of Truncated Rhombohedron

Go Rhombohedral Edge Length of Truncated Rhombohedron

l e(Rhombohedron) = \frac{2 \cdot l e}{3 - \sqrt{5}}

Go Rhombohedral Edge Length of Truncated Rhombohedron given Circumsphere Radius

l e(Rhombohedron) = \frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}}

Go Rhombohedral Edge Length of Truncated Rhombohedron given Total Surface Area

l e(Rhombohedron) = \sqrt{\frac{2 \cdot TSA}{(3 \cdot (\sqrt{5 + (2 \cdot \sqrt{5})})) + (5 \cdot \sqrt{3}) - (2 \cdot \sqrt{15})}}

Go Rhombohedral Edge Length of Truncated Rhombohedron given Area of Pentagon

l e(Rhombohedron) = \sqrt{\frac{4 \cdot A Pentagon}{\sqrt{5 + (2 \cdot \sqrt{5})}}}

Other formulas in Rhombohedral Edge Length of Truncated Rhombohedron category

Go Rhombohedral Edge Length of Truncated Rhombohedron given Triangular Edge Length

l e = \frac{l e(Triangle)}{\sqrt{5 - (2 \cdot \sqrt{5})}}

How to Evaluate Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio evaluator uses Rhombohedral Edge Length of Truncated Rhombohedron = (1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*Surface to Volume Ratio of Truncated Rhombohedron) to evaluate the Rhombohedral Edge Length of Truncated Rhombohedron, Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio formula is defined as the length of any edge of the Rhombohedron from which the Truncated Rhombohedron is formed, calculated using its surface to volume ratio. Rhombohedral Edge Length of Truncated Rhombohedron is denoted by l_{e(Rhombohedron)} symbol.

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

FAQs on Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio

What is the formula to find Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

The formula of Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio is expressed as Rhombohedral Edge Length of Truncated Rhombohedron = (1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*Surface to Volume Ratio of Truncated Rhombohedron). Here is an example- 31.32744 = (1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*0.2).

How to calculate Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

With Surface to Volume Ratio of Truncated Rhombohedron (R_A/V) we can find Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio using the formula - Rhombohedral Edge Length of Truncated Rhombohedron = (1/2*(3*sqrt(5+2*sqrt(5))+5*sqrt(3)-2*sqrt(15)))/(5/3*sqrt(sqrt(5)-2)*Surface to Volume Ratio of Truncated Rhombohedron). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Rhombohedral Edge Length of Truncated Rhombohedron?

Here are the different ways to Calculate Rhombohedral Edge Length of Truncated Rhombohedron-

Rhombohedral Edge Length of Truncated Rhombohedron=(2*Edge Length of Truncated Rhombohedron)/(3-sqrt(5))
Rhombohedral Edge Length of Truncated Rhombohedron=(4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5))))
Rhombohedral Edge Length of Truncated Rhombohedron=sqrt((2*Total Surface Area of Truncated Rhombohedron)/((3*(sqrt(5+(2*sqrt(5)))))+(5*sqrt(3))-(2*sqrt(15))))

Can the Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio be negative?

No, the Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio?

Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Rhombohedral Edge Length of Truncated Rhombohedron given Surface to Volume Ratio can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit