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Edge Length of Rhombic Dodecahedron given Midsphere Radius Formula

GoEdge Length of Rhombic Dodecahedron given Total Surface Area Formula

GoEdge Length of Rhombic Dodecahedron given Volume Formula

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Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron. Check FAQs

l e = \frac{3 \cdot r m}{2 \cdot \sqrt{2}}

l_e - Edge Length of Rhombic Dodecahedron?r_m - Midsphere Radius of Rhombic Dodecahedron?

Edge Length of Rhombic Dodecahedron given Midsphere Radius Example

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Here is how the Edge Length of Rhombic Dodecahedron given Midsphere Radius equation looks like with Values.

Here is how the Edge Length of Rhombic Dodecahedron given Midsphere Radius equation looks like with Units.

Here is how the Edge Length of Rhombic Dodecahedron given Midsphere Radius equation looks like.

9.5459 = \frac{3 \cdot 9}{2 \cdot \sqrt{2}}

9.5459m = \frac{3 \cdot 9m}{2 \cdot \sqrt{2}}

9.5459 = \frac{3 \cdot 9}{2 \cdot \sqrt{2}}

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Edge Length of Rhombic Dodecahedron given Midsphere Radius Solution

Follow our step by step solution on how to calculate Edge Length of Rhombic Dodecahedron given Midsphere Radius?

FIRST Step Consider the formula

l e = \frac{3 \cdot r m}{2 \cdot \sqrt{2}}

Next Step Substitute values of Variables

∴

l e = \frac{3 \cdot 9m}{2 \cdot \sqrt{2}}

Next Step Prepare to Evaluate

∴

l e = \frac{3 \cdot 9}{2 \cdot \sqrt{2}}

Next Step Evaluate

∴

l e = 9.54594154601839m

LAST Step Rounding Answer

∴

l e = 9.5459m

Edge Length of Rhombic Dodecahedron given Midsphere Radius Formula Elements

Variables

Functions

Edge Length of Rhombic Dodecahedron

Edge Length of Rhombic Dodecahedron is the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron

Midsphere Radius of Rhombic Dodecahedron is the radius of the sphere for which all the edges of the Rhombic Dodecahedron become a tangent line on that sphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Rhombic Dodecahedron

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 Rhombic Dodecahedron

Go Edge Length of Rhombic Dodecahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{8 \cdot \sqrt{2}}}

Go Edge Length of Rhombic Dodecahedron given Volume

l e = {(\frac{9 \cdot V}{16 \cdot \sqrt{3}})}^{\frac{1}{3}}

Go Edge Length of Rhombic Dodecahedron given Insphere Radius

l e = \frac{3 \cdot r i}{\sqrt{6}}

Go Edge Length of Rhombic Dodecahedron given Surface to Volume Ratio

l e = \frac{9 \cdot \sqrt{2}}{2 \cdot \sqrt{3} \cdot R A/V}

How to Evaluate Edge Length of Rhombic Dodecahedron given Midsphere Radius?

Edge Length of Rhombic Dodecahedron given Midsphere Radius evaluator uses Edge Length of Rhombic Dodecahedron = (3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)) to evaluate the Edge Length of Rhombic Dodecahedron, Edge Length of Rhombic Dodecahedron given Midsphere Radius formula is defined as the length of any of the edges of a Rhombic Dodecahedron or the distance between any pair of adjacent vertices of the Rhombic Dodecahedron, calculated using midsphere radius of Rhombic Dodecahedron. Edge Length of Rhombic Dodecahedron is denoted by l_e symbol.

How to evaluate Edge Length of Rhombic Dodecahedron given Midsphere Radius using this online evaluator? To use this online evaluator for Edge Length of Rhombic Dodecahedron given Midsphere Radius, enter Midsphere Radius of Rhombic Dodecahedron (r_m) and hit the calculate button.

FAQs on Edge Length of Rhombic Dodecahedron given Midsphere Radius

What is the formula to find Edge Length of Rhombic Dodecahedron given Midsphere Radius?

The formula of Edge Length of Rhombic Dodecahedron given Midsphere Radius is expressed as Edge Length of Rhombic Dodecahedron = (3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)). Here is an example- 9.545942 = (3*9)/(2*sqrt(2)).

How to calculate Edge Length of Rhombic Dodecahedron given Midsphere Radius?

With Midsphere Radius of Rhombic Dodecahedron (r_m) we can find Edge Length of Rhombic Dodecahedron given Midsphere Radius using the formula - Edge Length of Rhombic Dodecahedron = (3*Midsphere Radius of Rhombic Dodecahedron)/(2*sqrt(2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Rhombic Dodecahedron?

Here are the different ways to Calculate Edge Length of Rhombic Dodecahedron-

Edge Length of Rhombic Dodecahedron=sqrt((Total Surface Area of Rhombic Dodecahedron)/(8*sqrt(2)))
Edge Length of Rhombic Dodecahedron=((9*Volume of Rhombic Dodecahedron)/(16*sqrt(3)))^(1/3)
Edge Length of Rhombic Dodecahedron=(3*Insphere Radius of Rhombic Dodecahedron)/(sqrt(6))

Can the Edge Length of Rhombic Dodecahedron given Midsphere Radius be negative?

No, the Edge Length of Rhombic Dodecahedron given Midsphere Radius, measured in Length cannot be negative.

Which unit is used to measure Edge Length of Rhombic Dodecahedron given Midsphere Radius?

Edge Length of Rhombic Dodecahedron given Midsphere Radius 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 Rhombic Dodecahedron given Midsphere Radius can be measured.

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