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Edge Length of Cube given Face Diagonal Formula

GoEdge Length of Cube given Total Surface Area Formula

GoEdge Length of Cube given Lateral 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 Face}{\sqrt{2}}

l_e - Edge Length of Cube?d_Face - Face Diagonal of Cube?

Edge Length of Cube given Face Diagonal Example

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

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

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

9.8995 = \frac{14}{\sqrt{2}}

9.8995m = \frac{14m}{\sqrt{2}}

9.8995 = \frac{14}{\sqrt{2}}

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Edge Length of Cube given Face Diagonal Solution

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

FIRST Step Consider the formula

l e = \frac{d Face}{\sqrt{2}}

Next Step Substitute values of Variables

∴

l e = \frac{14m}{\sqrt{2}}

Next Step Prepare to Evaluate

∴

l e = \frac{14}{\sqrt{2}}

Next Step Evaluate

∴

l e = 9.89949493661167m

LAST Step Rounding Answer

∴

l e = 9.8995m

Edge Length of Cube given Face 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

Face Diagonal of Cube

Face Diagonal of Cube is the distance between any pair of opposite corners on a particular square face of the Cube.

Symbol: d_Face

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Face 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 Total Surface Area

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

Go Edge Length of Cube given Lateral Surface Area

l e = \sqrt{\frac{LSA}{4}}

Go Edge Length of Cube given Space Diagonal

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

Go Edge Length of Cube given Face Area

l e = \sqrt{A Face}

How to Evaluate Edge Length of Cube given Face Diagonal?

Edge Length of Cube given Face Diagonal evaluator uses Edge Length of Cube = Face Diagonal of Cube/sqrt(2) to evaluate the Edge Length of Cube, The Edge Length of Cube given Face Diagonal formula is defined as the length of any edge of the Cube, and calculated using the face diagonal of the Cube. Edge Length of Cube is denoted by l_e symbol.

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

FAQs on Edge Length of Cube given Face Diagonal

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

The formula of Edge Length of Cube given Face Diagonal is expressed as Edge Length of Cube = Face Diagonal of Cube/sqrt(2). Here is an example- 9.899495 = 14/sqrt(2).

How to calculate Edge Length of Cube given Face Diagonal?

With Face Diagonal of Cube (d_Face) we can find Edge Length of Cube given Face Diagonal using the formula - Edge Length of Cube = Face Diagonal of Cube/sqrt(2). 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=sqrt(Total Surface Area of Cube/6)
Edge Length of Cube=sqrt(Lateral Surface Area of Cube/4)
Edge Length of Cube=Space Diagonal of Cube/(sqrt(3))

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

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

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

Edge Length of Cube given Face 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 Face Diagonal can be measured.

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