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Space Diagonal of Cube given Face Area 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 = \sqrt{3 \cdot A Face}

d_Space - Space Diagonal of Cube?A_Face - Face Area of Cube?

Space Diagonal of Cube given Face Area Example

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With units

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Here is how the Space Diagonal of Cube given Face Area equation looks like with Values.

Here is how the Space Diagonal of Cube given Face Area equation looks like with Units.

Here is how the Space Diagonal of Cube given Face Area equation looks like.

17.3205 = \sqrt{3 \cdot 100}

17.3205m = \sqrt{3 \cdot 100m²}

17.3205 = \sqrt{3 \cdot 100}

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Space Diagonal of Cube given Face Area Solution

Follow our step by step solution on how to calculate Space Diagonal of Cube given Face Area?

FIRST Step Consider the formula

d Space = \sqrt{3 \cdot A Face}

Next Step Substitute values of Variables

∴

d Space = \sqrt{3 \cdot 100m²}

Next Step Prepare to Evaluate

∴

d Space = \sqrt{3 \cdot 100}

Next Step Evaluate

∴

d Space = 17.3205080756888m

LAST Step Rounding Answer

∴

d Space = 17.3205m

Space Diagonal of Cube given Face Area 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

Face Area of Cube

Face Area of Cube is the quantity of plane enclosed by any square face of the Cube.

Symbol: A_Face

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Face Area 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 Face Area?

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

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

FAQs on Space Diagonal of Cube given Face Area

What is the formula to find Space Diagonal of Cube given Face Area?

The formula of Space Diagonal of Cube given Face Area is expressed as Space Diagonal of Cube = sqrt(3*Face Area of Cube). Here is an example- 17.32051 = sqrt(3*100).

How to calculate Space Diagonal of Cube given Face Area?

With Face Area of Cube (A_Face) we can find Space Diagonal of Cube given Face Area using the formula - Space Diagonal of Cube = sqrt(3*Face Area 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 Face Area be negative?

No, the Space Diagonal of Cube given Face Area, measured in Length cannot be negative.

Which unit is used to measure Space Diagonal of Cube given Face Area?

Space Diagonal of Cube given Face Area 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 Face Area can be measured.

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