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Insphere Radius of Tetrakis Hexahedron given Total Surface Area Formula

GoInsphere Radius of Tetrakis Hexahedron Formula

GoInsphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio Formula

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Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere. Check FAQs

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{5}}}

r_i - Insphere Radius of Tetrakis Hexahedron?TSA - Total Surface Area of Tetrakis Hexahedron?

Insphere Radius of Tetrakis Hexahedron given Total Surface Area Example

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Here is how the Insphere Radius of Tetrakis Hexahedron given Total Surface Area equation looks like with Values.

Here is how the Insphere Radius of Tetrakis Hexahedron given Total Surface Area equation looks like with Units.

Here is how the Insphere Radius of Tetrakis Hexahedron given Total Surface Area equation looks like.

6.7041 = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{670}{3 \cdot \sqrt{5}}}

6.7041m = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{670m²}{3 \cdot \sqrt{5}}}

6.7041 = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{670}{3 \cdot \sqrt{5}}}

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Insphere Radius of Tetrakis Hexahedron given Total Surface Area Solution

Follow our step by step solution on how to calculate Insphere Radius of Tetrakis Hexahedron given Total Surface Area?

FIRST Step Consider the formula

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{TSA}{3 \cdot \sqrt{5}}}

Next Step Substitute values of Variables

∴

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{670m²}{3 \cdot \sqrt{5}}}

Next Step Prepare to Evaluate

∴

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot \sqrt{\frac{670}{3 \cdot \sqrt{5}}}

Next Step Evaluate

∴

r i = 6.70410071133674m

LAST Step Rounding Answer

∴

r i = 6.7041m

Insphere Radius of Tetrakis Hexahedron given Total Surface Area Formula Elements

Variables

Functions

Insphere Radius of Tetrakis Hexahedron

Insphere Radius of Tetrakis Hexahedron is the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere.

Symbol: r_i

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Insphere Radius of Tetrakis Hexahedron

Total Surface Area of Tetrakis Hexahedron

Total Surface Area of Tetrakis Hexahedron is the total quantity of plane enclosed on the entire surface of the Tetrakis Hexahedron.

Symbol: TSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Total Surface Area of Tetrakis Hexahedron

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 Insphere Radius of Tetrakis Hexahedron

Go Insphere Radius of Tetrakis Hexahedron

r i = \frac{3}{10} \cdot l e(Cube) \cdot \sqrt{5}

Go Insphere Radius of Tetrakis Hexahedron given Surface to Volume Ratio

r i = \frac{3}{R A/V}

Go Insphere Radius of Tetrakis Hexahedron given Midsphere Radius

r i = \frac{3 \cdot r m}{\sqrt{10}}

Go Insphere Radius of Tetrakis Hexahedron given Volume

r i = \frac{3 \cdot \sqrt{5}}{10} \cdot {(\frac{2 \cdot V}{3})}^{\frac{1}{3}}

How to Evaluate Insphere Radius of Tetrakis Hexahedron given Total Surface Area?

Insphere Radius of Tetrakis Hexahedron given Total Surface Area evaluator uses Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))) to evaluate the Insphere Radius of Tetrakis Hexahedron, Insphere Radius of Tetrakis Hexahedron given Total Surface Area formula is defined as the radius of the sphere that is contained by the Tetrakis Hexahedron in such a way that all the faces just touching the sphere, calculated using total surface area of Tetrakis Hexahedron. Insphere Radius of Tetrakis Hexahedron is denoted by r_i symbol.

How to evaluate Insphere Radius of Tetrakis Hexahedron given Total Surface Area using this online evaluator? To use this online evaluator for Insphere Radius of Tetrakis Hexahedron given Total Surface Area, enter Total Surface Area of Tetrakis Hexahedron (TSA) and hit the calculate button.

FAQs on Insphere Radius of Tetrakis Hexahedron given Total Surface Area

What is the formula to find Insphere Radius of Tetrakis Hexahedron given Total Surface Area?

The formula of Insphere Radius of Tetrakis Hexahedron given Total Surface Area is expressed as Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))). Here is an example- 6.704101 = (3*sqrt(5))/10*sqrt(670/(3*sqrt(5))).

How to calculate Insphere Radius of Tetrakis Hexahedron given Total Surface Area?

With Total Surface Area of Tetrakis Hexahedron (TSA) we can find Insphere Radius of Tetrakis Hexahedron given Total Surface Area using the formula - Insphere Radius of Tetrakis Hexahedron = (3*sqrt(5))/10*sqrt(Total Surface Area of Tetrakis Hexahedron/(3*sqrt(5))). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Insphere Radius of Tetrakis Hexahedron?

Here are the different ways to Calculate Insphere Radius of Tetrakis Hexahedron-

Insphere Radius of Tetrakis Hexahedron=3/10*Cubical Edge Length of Tetrakis Hexahedron*sqrt(5)
Insphere Radius of Tetrakis Hexahedron=3/Surface to Volume Ratio of Tetrakis Hexahedron
Insphere Radius of Tetrakis Hexahedron=(3*Midsphere Radius of Tetrakis Hexahedron)/sqrt(10)

Can the Insphere Radius of Tetrakis Hexahedron given Total Surface Area be negative?

No, the Insphere Radius of Tetrakis Hexahedron given Total Surface Area, measured in Length cannot be negative.

Which unit is used to measure Insphere Radius of Tetrakis Hexahedron given Total Surface Area?

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

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