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Edge Length of Truncated Rhombohedron given Volume Formula

GoEdge Length of Truncated Rhombohedron given Rhombohedral Edge Length Formula

GoEdge Length of Truncated Rhombohedron given Triangular Edge Length Formula

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Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron. Check FAQs

l e = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

l_e - Edge Length of Truncated Rhombohedron?V - Volume of Truncated Rhombohedron?

Edge Length of Truncated Rhombohedron given Volume Example

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

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

Here is how the Edge Length of Truncated Rhombohedron given Volume equation looks like.

9.9929 = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

9.9929m = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

9.9929 = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

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Edge Length of Truncated Rhombohedron given Volume Solution

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

FIRST Step Consider the formula

l e = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot V}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

Next Step Substitute values of Variables

∴

l e = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot 14500m³}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

Next Step Prepare to Evaluate

∴

l e = (\frac{3 - \sqrt{5}}{2}) \cdot ({(\frac{3 \cdot 14500}{5 \cdot (\sqrt{\sqrt{5} - 2})})}^{\frac{1}{3}})

Next Step Evaluate

∴

l e = 9.99290189665401m

LAST Step Rounding Answer

∴

l e = 9.9929m

Edge Length of Truncated Rhombohedron given Volume Formula Elements

Variables

Functions

Edge Length of Truncated Rhombohedron

Edge Length of Truncated Rhombohedron is the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Truncated Rhombohedron

Volume of Truncated Rhombohedron

Volume of Truncated Rhombohedron is the total quantity of three-dimensional space enclosed by the surface of the Truncated Rhombohedron.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Edge Length of Truncated Rhombohedron

Go Edge Length of Truncated Rhombohedron given Rhombohedral Edge Length

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

Go Edge Length of Truncated Rhombohedron given Triangular Edge Length

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

Go Edge Length of Truncated Rhombohedron given Circumsphere Radius

l e = (\frac{3 - \sqrt{5}}{2}) \cdot (\frac{4 \cdot r c}{\sqrt{14 - (2 \cdot \sqrt{5})}})

Go Edge Length of Truncated Rhombohedron given Total Surface Area

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

How to Evaluate Edge Length of Truncated Rhombohedron given Volume?

Edge Length of Truncated Rhombohedron given Volume evaluator uses Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)) to evaluate the Edge Length of Truncated Rhombohedron, Edge Length of Truncated Rhombohedron given Volume formula is defined as the length of the edge that joins the triangular edge with rhombohedral edges on each face of the Truncated Rhombohedron, calculated using its volume. Edge Length of Truncated Rhombohedron is denoted by l_e symbol.

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

FAQs on Edge Length of Truncated Rhombohedron given Volume

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

The formula of Edge Length of Truncated Rhombohedron given Volume is expressed as Edge Length of Truncated Rhombohedron = ((3-sqrt(5))/2)*(((3*Volume of Truncated Rhombohedron)/(5*(sqrt(sqrt(5)-2))))^(1/3)). Here is an example- 9.992902 = ((3-sqrt(5))/2)*(((3*14500)/(5*(sqrt(sqrt(5)-2))))^(1/3)).

How to calculate Edge Length of Truncated Rhombohedron given Volume?

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

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

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

Edge Length of Truncated Rhombohedron=(Rhombohedral Edge Length of Truncated Rhombohedron*(3-sqrt(5)))/2
Edge Length of Truncated Rhombohedron=((3-sqrt(5))/2)*(Triangular Edge Length of Truncated Rhombohedron/(sqrt(5-(2*sqrt(5)))))
Edge Length of Truncated Rhombohedron=((3-sqrt(5))/2)*((4*Circumsphere Radius of Truncated Rhombohedron)/(sqrt(14-(2*sqrt(5)))))

Can the Edge Length of Truncated Rhombohedron given Volume be negative?

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

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

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

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