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Edge Length of Cube given Space Diagonal Formula

GoEdge Length of Cube given Circumsphere Radius Formula

GoEdge Length of Cube given Total Surface Area Formula

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Edge Length of Cube is the length of any edge of a Cube. Check FAQs

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

l_e - Edge Length of Cube?d_Space - Space Diagonal of Cube?

Edge Length of Cube given Space Diagonal Example

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Here is how the Edge Length of Cube given Space Diagonal equation looks like with Values.

Here is how the Edge Length of Cube given Space Diagonal equation looks like with Units.

Here is how the Edge Length of Cube given Space Diagonal equation looks like.

9.815 = \frac{17}{\sqrt{3}}

9.815m = \frac{17m}{\sqrt{3}}

9.815 = \frac{17}{\sqrt{3}}

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Edge Length of Cube given Space Diagonal Solution

Follow our step by step solution on how to calculate Edge Length of Cube given Space Diagonal?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l e = \frac{17m}{\sqrt{3}}

Next Step Prepare to Evaluate

∴

l e = \frac{17}{\sqrt{3}}

Next Step Evaluate

∴

l e = 9.81495457622364m

LAST Step Rounding Answer

∴

l e = 9.815m

Edge Length of Cube given Space Diagonal Formula Elements

Variables

Functions

Edge Length of Cube

Edge Length of Cube is the length of any edge of a Cube.

Symbol: l_e

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Edge Length of Cube

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

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 Edge Length of Cube

Go Edge Length of Cube given Circumsphere Radius

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

Go Edge Length of Cube given Total Surface Area

l e = \sqrt{\frac{TSA}{6}}

Go Edge Length of Cube given Volume

l e = V^{\frac{1}{3}}

How to Evaluate Edge Length of Cube given Space Diagonal?

Edge Length of Cube given Space Diagonal evaluator uses Edge Length of Cube = Space Diagonal of Cube/(sqrt(3)) to evaluate the Edge Length of Cube, Edge Length of Cube given Space Diagonal formula is defined as the length of any edge of the Cube, and calculated using the space diagonal of the Cube. Edge Length of Cube is denoted by l_e symbol.

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

FAQs on Edge Length of Cube given Space Diagonal

What is the formula to find Edge Length of Cube given Space Diagonal?

The formula of Edge Length of Cube given Space Diagonal is expressed as Edge Length of Cube = Space Diagonal of Cube/(sqrt(3)). Here is an example- 9.814955 = 17/(sqrt(3)).

How to calculate Edge Length of Cube given Space Diagonal?

With Space Diagonal of Cube (d_Space) we can find Edge Length of Cube given Space Diagonal using the formula - Edge Length of Cube = Space Diagonal of Cube/(sqrt(3)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Edge Length of Cube?

Here are the different ways to Calculate Edge Length of Cube-

Edge Length of Cube=2/sqrt(3)*Circumsphere Radius of Cube
Edge Length of Cube=sqrt(Total Surface Area of Cube/6)
Edge Length of Cube=Volume of Cube^(1/3)

Can the Edge Length of Cube given Space Diagonal be negative?

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

Which unit is used to measure Edge Length of Cube given Space Diagonal?

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

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