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Edge Length of Rhombicuboctahedron given Midsphere Radius Formula

GoEdge Length of Rhombicuboctahedron given Total Surface Area Formula

GoEdge Length of Rhombicuboctahedron given Volume Formula

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Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron. Check FAQs

l e = \frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

l_e - Edge Length of Rhombicuboctahedron?r_m - Midsphere Radius of Rhombicuboctahedron?

Edge Length of Rhombicuboctahedron given Midsphere Radius Example

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

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

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

9.9498 = \frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

9.9498m = \frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

9.9498 = \frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

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Edge Length of Rhombicuboctahedron given Midsphere Radius Solution

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

FIRST Step Consider the formula

l e = \frac{2 \cdot r m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Substitute values of Variables

∴

l e = \frac{2 \cdot 13m}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Prepare to Evaluate

∴

l e = \frac{2 \cdot 13}{\sqrt{4 + (2 \cdot \sqrt{2})}}

Next Step Evaluate

∴

l e = 9.94976924149233m

LAST Step Rounding Answer

∴

l e = 9.9498m

Edge Length of Rhombicuboctahedron given Midsphere Radius Formula Elements

Variables

Functions

Edge Length of Rhombicuboctahedron

Edge Length of Rhombicuboctahedron is the length of any edge of the Rhombicuboctahedron.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron

Midsphere Radius of Rhombicuboctahedron is the radius of the sphere for which all the edges of the Rhombicuboctahedron 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 Rhombicuboctahedron

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 Rhombicuboctahedron

Go Edge Length of Rhombicuboctahedron given Total Surface Area

l e = \sqrt{\frac{TSA}{2 \cdot (9 + \sqrt{3})}}

Go Edge Length of Rhombicuboctahedron given Volume

l e = {(\frac{3 \cdot V}{2 \cdot (6 + (5 \cdot \sqrt{2}))})}^{\frac{1}{3}}

Go Edge Length of Rhombicuboctahedron given Circumsphere Radius

l e = \frac{2 \cdot r c}{\sqrt{5 + (2 \cdot \sqrt{2})}}

Go Edge Length of Rhombicuboctahedron given Surface to Volume Ratio

l e = \frac{3 \cdot (9 + \sqrt{3})}{R A/V \cdot (6 + (5 \cdot \sqrt{2}))}

How to Evaluate Edge Length of Rhombicuboctahedron given Midsphere Radius?

Edge Length of Rhombicuboctahedron given Midsphere Radius evaluator uses Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))) to evaluate the Edge Length of Rhombicuboctahedron, Edge Length of Rhombicuboctahedron given Midsphere Radius formula is defined as the length of any edge of the Rhombicuboctahedron, and calculated using the midsphere radius of the Rhombicuboctahedron. Edge Length of Rhombicuboctahedron is denoted by l_e symbol.

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

FAQs on Edge Length of Rhombicuboctahedron given Midsphere Radius

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

The formula of Edge Length of Rhombicuboctahedron given Midsphere Radius is expressed as Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))). Here is an example- 9.949769 = (2*13)/(sqrt(4+(2*sqrt(2)))).

How to calculate Edge Length of Rhombicuboctahedron given Midsphere Radius?

With Midsphere Radius of Rhombicuboctahedron (r_m) we can find Edge Length of Rhombicuboctahedron given Midsphere Radius using the formula - Edge Length of Rhombicuboctahedron = (2*Midsphere Radius of Rhombicuboctahedron)/(sqrt(4+(2*sqrt(2)))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Rhombicuboctahedron?

Here are the different ways to Calculate Edge Length of Rhombicuboctahedron-

Edge Length of Rhombicuboctahedron=sqrt((Total Surface Area of Rhombicuboctahedron)/(2*(9+sqrt(3))))
Edge Length of Rhombicuboctahedron=((3*Volume of Rhombicuboctahedron)/(2*(6+(5*sqrt(2)))))^(1/3)
Edge Length of Rhombicuboctahedron=(2*Circumsphere Radius of Rhombicuboctahedron)/(sqrt(5+(2*sqrt(2))))

Can the Edge Length of Rhombicuboctahedron given Midsphere Radius be negative?

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

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

Edge Length of Rhombicuboctahedron 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 Rhombicuboctahedron given Midsphere Radius can be measured.

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