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Midsphere Radius of Cuboctahedron given Lateral Surface Area Formula

GoMidsphere Radius of Cuboctahedron Formula

GoMidsphere Radius of Cuboctahedron given Total Surface Area Formula

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Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere. Check FAQs

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{LSA}{(2 \cdot \sqrt{3}) + 4}}

r_m - Midsphere Radius of Cuboctahedron?LSA - Lateral Surface Area of Cuboctahedron?

Midsphere Radius of Cuboctahedron given Lateral Surface Area Example

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Here is how the Midsphere Radius of Cuboctahedron given Lateral Surface Area equation looks like with Values.

Here is how the Midsphere Radius of Cuboctahedron given Lateral Surface Area equation looks like with Units.

Here is how the Midsphere Radius of Cuboctahedron given Lateral Surface Area equation looks like.

8.6811 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{750}{(2 \cdot \sqrt{3}) + 4}}

8.6811m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{750m}{(2 \cdot \sqrt{3}) + 4}}

8.6811 = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{750}{(2 \cdot \sqrt{3}) + 4}}

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Midsphere Radius of Cuboctahedron given Lateral Surface Area Solution

Follow our step by step solution on how to calculate Midsphere Radius of Cuboctahedron given Lateral Surface Area?

FIRST Step Consider the formula

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{LSA}{(2 \cdot \sqrt{3}) + 4}}

Next Step Substitute values of Variables

∴

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{750m}{(2 \cdot \sqrt{3}) + 4}}

Next Step Prepare to Evaluate

∴

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{750}{(2 \cdot \sqrt{3}) + 4}}

Next Step Evaluate

∴

r m = 8.68105468081231m

LAST Step Rounding Answer

∴

r m = 8.6811m

Midsphere Radius of Cuboctahedron given Lateral Surface Area Formula Elements

Variables

Functions

Midsphere Radius of Cuboctahedron

Midsphere Radius of Cuboctahedron is the radius of the sphere which is tangent to every edge of the Cuboctahedron and also is present in between its insphere and the circumsphere.

Symbol: r_m

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Midsphere Radius of Cuboctahedron

Lateral Surface Area of Cuboctahedron

Lateral Surface Area of Cuboctahedron is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboctahedron.

Symbol: LSA

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Cuboctahedron

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 Midsphere Radius of Cuboctahedron

Go Midsphere Radius of Cuboctahedron

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

Go Midsphere Radius of Cuboctahedron given Total Surface Area

r m = \frac{\sqrt{3}}{2} \cdot \sqrt{\frac{TSA}{2 \cdot (3 + \sqrt{3})}}

Go Midsphere Radius of Cuboctahedron given Volume

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

Go Midsphere Radius of Cuboctahedron given Circumsphere Radius

r m = \frac{\sqrt{3}}{2} \cdot r c

How to Evaluate Midsphere Radius of Cuboctahedron given Lateral Surface Area?

Midsphere Radius of Cuboctahedron given Lateral Surface Area evaluator uses Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)) to evaluate the Midsphere Radius of Cuboctahedron, The Midsphere Radius of Cuboctahedron given Lateral Surface Area formula is defined as the radius of the sphere which is tangent to every edge of the Cuboctahedron and is also present in between its insphere and the circumsphere, calculated using lateral surface area of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

How to evaluate Midsphere Radius of Cuboctahedron given Lateral Surface Area using this online evaluator? To use this online evaluator for Midsphere Radius of Cuboctahedron given Lateral Surface Area, enter Lateral Surface Area of Cuboctahedron (LSA) and hit the calculate button.

FAQs on Midsphere Radius of Cuboctahedron given Lateral Surface Area

What is the formula to find Midsphere Radius of Cuboctahedron given Lateral Surface Area?

The formula of Midsphere Radius of Cuboctahedron given Lateral Surface Area is expressed as Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). Here is an example- 8.681055 = sqrt(3)/2*sqrt(750/((2*sqrt(3))+4)).

How to calculate Midsphere Radius of Cuboctahedron given Lateral Surface Area?

With Lateral Surface Area of Cuboctahedron (LSA) we can find Midsphere Radius of Cuboctahedron given Lateral Surface Area using the formula - Midsphere Radius of Cuboctahedron = sqrt(3)/2*sqrt(Lateral Surface Area of Cuboctahedron/((2*sqrt(3))+4)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Midsphere Radius of Cuboctahedron?

Here are the different ways to Calculate Midsphere Radius of Cuboctahedron-

Midsphere Radius of Cuboctahedron=sqrt(3)/2*Edge Length of Cuboctahedron
Midsphere Radius of Cuboctahedron=sqrt(3)/2*sqrt(Total Surface Area of Cuboctahedron/(2*(3+sqrt(3))))
Midsphere Radius of Cuboctahedron=sqrt(3)/2*((3*Volume of Cuboctahedron)/(5*sqrt(2)))^(1/3)

Can the Midsphere Radius of Cuboctahedron given Lateral Surface Area be negative?

No, the Midsphere Radius of Cuboctahedron given Lateral Surface Area, measured in Length cannot be negative.

Which unit is used to measure Midsphere Radius of Cuboctahedron given Lateral Surface Area?

Midsphere Radius of Cuboctahedron given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Midsphere Radius of Cuboctahedron given Lateral Surface Area can be measured.

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