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Lateral Surface Area of Cuboctahedron given Perimeter 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 = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{P^{2}}{576}

r_m - Midsphere Radius of Cuboctahedron?P - Perimeter of Cuboctahedron?

Lateral Surface Area of Cuboctahedron given Perimeter Example

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

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

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

746.4102 = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{240^{2}}{576}

746.4102m = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{{240m}^{2}}{576}

746.4102 = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{240^{2}}{576}

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Lateral Surface Area of Cuboctahedron given Perimeter Solution

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

FIRST Step Consider the formula

r m = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{P^{2}}{576}

Next Step Substitute values of Variables

∴

r m = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{{240m}^{2}}{576}

Next Step Prepare to Evaluate

∴

r m = ((2 \cdot \sqrt{3}) + 4) \cdot \frac{240^{2}}{576}

Next Step Evaluate

∴

r m = 746.410161513776m

LAST Step Rounding Answer

∴

r m = 746.4102m

Lateral Surface Area of Cuboctahedron given Perimeter 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

Perimeter of Cuboctahedron

Perimeter of Cuboctahedron is the sum of the total distance around all the edges of the Cuboctahedron.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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 in Lateral Surface Area of Cuboctahedron category

Go Lateral Surface Area of Cuboctahedron

LSA = ((2 \cdot \sqrt{3}) + 4) \cdot {l e}^{2}

Go Lateral Surface Area of Cuboctahedron given Circumsphere Radius

LSA = ((2 \cdot \sqrt{3}) + 4) \cdot {r c}^{2}

Go Lateral Surface Area of Cuboctahedron given Midsphere Radius

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

Go Lateral Surface Area of Cuboctahedron given Surface to Volume Ratio

LSA = ((2 \cdot \sqrt{3}) + 4) \cdot {(\frac{18 + (6 \cdot \sqrt{3})}{5 \cdot \sqrt{2} \cdot R A/V})}^{2}

How to Evaluate Lateral Surface Area of Cuboctahedron given Perimeter?

Lateral Surface Area of Cuboctahedron given Perimeter evaluator uses Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576 to evaluate the Midsphere Radius of Cuboctahedron, The Lateral Surface Area of Cuboctahedron given Perimeter 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 perimeter of Cuboctahedron. Midsphere Radius of Cuboctahedron is denoted by r_m symbol.

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

FAQs on Lateral Surface Area of Cuboctahedron given Perimeter

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

The formula of Lateral Surface Area of Cuboctahedron given Perimeter is expressed as Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576. Here is an example- 746.4102 = ((2*sqrt(3))+4)*240^2/576.

How to calculate Lateral Surface Area of Cuboctahedron given Perimeter?

With Perimeter of Cuboctahedron (P) we can find Lateral Surface Area of Cuboctahedron given Perimeter using the formula - Midsphere Radius of Cuboctahedron = ((2*sqrt(3))+4)*Perimeter of Cuboctahedron^2/576. This formula also uses Square Root (sqrt) function(s).

Can the Lateral Surface Area of Cuboctahedron given Perimeter be negative?

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

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

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

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