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Space Diagonal of Cube given Insphere Radius Formula

GoSpace Diagonal of Cube given Total Surface Area Formula

GoSpace Diagonal of Cube given Lateral Surface Area Formula

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Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube. Check FAQs

d Space = 2 \cdot \sqrt{3} \cdot r i

d_Space - Space Diagonal of Cube?r_i - Insphere Radius of Cube?

Space Diagonal of Cube given Insphere Radius Example

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Here is how the Space Diagonal of Cube given Insphere Radius equation looks like with Values.

Here is how the Space Diagonal of Cube given Insphere Radius equation looks like with Units.

Here is how the Space Diagonal of Cube given Insphere Radius equation looks like.

17.3205 = 2 \cdot \sqrt{3} \cdot 5

17.3205m = 2 \cdot \sqrt{3} \cdot 5m

17.3205 = 2 \cdot \sqrt{3} \cdot 5

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Space Diagonal of Cube given Insphere Radius Solution

Follow our step by step solution on how to calculate Space Diagonal of Cube given Insphere Radius?

FIRST Step Consider the formula

d Space = 2 \cdot \sqrt{3} \cdot r i

Next Step Substitute values of Variables

∴

d Space = 2 \cdot \sqrt{3} \cdot 5m

Next Step Prepare to Evaluate

∴

d Space = 2 \cdot \sqrt{3} \cdot 5

Next Step Evaluate

∴

d Space = 17.3205080756888m

LAST Step Rounding Answer

∴

d Space = 17.3205m

Space Diagonal of Cube given Insphere Radius Formula Elements

Variables

Functions

Space Diagonal of Cube

Space Diagonal of Cube is the distance from any corner to the opposite and farthest corner of the Cube.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Cube

Insphere Radius of Cube

Insphere Radius of Cube is the radius of the sphere that is contained by the Cube 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 Cube

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 Space Diagonal of Cube

Go Space Diagonal of Cube given Total Surface Area

d Space = \sqrt{\frac{TSA}{2}}

Go Space Diagonal of Cube given Lateral Surface Area

d Space = \sqrt{\frac{3}{4} \cdot LSA}

Go Space Diagonal of Cube

d Space = \sqrt{3} \cdot l e

Go Space Diagonal of Cube given Face Diagonal

d Space = \sqrt{\frac{3}{2}} \cdot d Face

How to Evaluate Space Diagonal of Cube given Insphere Radius?

Space Diagonal of Cube given Insphere Radius evaluator uses Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube to evaluate the Space Diagonal of Cube, The Space Diagonal of Cube given Insphere Radius formula is defined as the distance from any corner to the opposite and farthest corner of the Cube, and calculated using the insphere radius of the Cube. Space Diagonal of Cube is denoted by d_Space symbol.

How to evaluate Space Diagonal of Cube given Insphere Radius using this online evaluator? To use this online evaluator for Space Diagonal of Cube given Insphere Radius, enter Insphere Radius of Cube (r_i) and hit the calculate button.

FAQs on Space Diagonal of Cube given Insphere Radius

What is the formula to find Space Diagonal of Cube given Insphere Radius?

The formula of Space Diagonal of Cube given Insphere Radius is expressed as Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube. Here is an example- 17.32051 = 2*sqrt(3)*5.

How to calculate Space Diagonal of Cube given Insphere Radius?

With Insphere Radius of Cube (r_i) we can find Space Diagonal of Cube given Insphere Radius using the formula - Space Diagonal of Cube = 2*sqrt(3)*Insphere Radius of Cube. This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Space Diagonal of Cube?

Here are the different ways to Calculate Space Diagonal of Cube-

Space Diagonal of Cube=sqrt(Total Surface Area of Cube/2)
Space Diagonal of Cube=sqrt(3/4*Lateral Surface Area of Cube)
Space Diagonal of Cube=sqrt(3)*Edge Length of Cube

Can the Space Diagonal of Cube given Insphere Radius be negative?

No, the Space Diagonal of Cube given Insphere Radius, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Cube given Insphere Radius?

Space Diagonal of Cube given Insphere Radius is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Space Diagonal of Cube given Insphere Radius can be measured.

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