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Length of Cuboid given Space Diagonal Formula

GoLength of Cuboid given Volume Formula

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The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid. Check FAQs

l = \sqrt{{d Space}^{2} - w^{2} - h^{2}}

l - Length of Cuboid?d_Space - Space Diagonal of Cuboid?w - Width of Cuboid?h - Height of Cuboid?

Length of Cuboid given Space Diagonal Example

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

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

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

12.49 = \sqrt{16^{2} - 6^{2} - 8^{2}}

12.49m = \sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}}

12.49 = \sqrt{16^{2} - 6^{2} - 8^{2}}

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Length of Cuboid given Space Diagonal Solution

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

FIRST Step Consider the formula

l = \sqrt{{d Space}^{2} - w^{2} - h^{2}}

Next Step Substitute values of Variables

∴

l = \sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}}

Next Step Prepare to Evaluate

∴

l = \sqrt{16^{2} - 6^{2} - 8^{2}}

Next Step Evaluate

∴

l = 12.4899959967968m

LAST Step Rounding Answer

∴

l = 12.49m

Length of Cuboid given Space Diagonal Formula Elements

Variables

Functions

Length of Cuboid

The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Cuboid

Space Diagonal of Cuboid

The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Cuboid

Width of Cuboid

The Width of Cuboid is the measure of any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Cuboid.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Cuboid

Height of Cuboid

The Height of Cuboid is the vertical distance measured from base to the top of Cuboid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Cuboid

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 Length of Cuboid

Go Length of Cuboid given Volume

l = \frac{V}{w \cdot h}

Other formulas in Length of Cuboid category

Go Height of Cuboid given Lateral Surface Area

h = \frac{LSA}{2 \cdot (l + w)}

Go Height of Cuboid given Volume

h = \frac{V}{l \cdot w}

Go Width of Cuboid given Surface to Volume Ratio

w = \frac{l \cdot h}{\frac{R A/V \cdot l \cdot h}{2} - (l + h)}

Go Width of Cuboid given Total Surface Area

w = \frac{\frac{TSA}{2} - (h \cdot l)}{h + l}

How to Evaluate Length of Cuboid given Space Diagonal?

Length of Cuboid given Space Diagonal evaluator uses Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2) to evaluate the Length of Cuboid, The Length of Cuboid given Space Diagonal formula is defined as the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid and calculated using the space diagonal of the Cuboid. Length of Cuboid is denoted by l symbol.

How to evaluate Length of Cuboid given Space Diagonal using this online evaluator? To use this online evaluator for Length of Cuboid given Space Diagonal, enter Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) and hit the calculate button.

FAQs on Length of Cuboid given Space Diagonal

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

The formula of Length of Cuboid given Space Diagonal is expressed as Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2). Here is an example- 12.49 = sqrt(16^2-6^2-8^2).

How to calculate Length of Cuboid given Space Diagonal?

With Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) we can find Length of Cuboid given Space Diagonal using the formula - Length of Cuboid = sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Length of Cuboid?

Here are the different ways to Calculate Length of Cuboid-

Length of Cuboid=Volume of Cuboid/(Width of Cuboid*Height of Cuboid)

Can the Length of Cuboid given Space Diagonal be negative?

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

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

Length of Cuboid 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 Length of Cuboid given Space Diagonal can be measured.

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Length of Cuboid given Space Diagonal Formula

​GoLength of Cuboid given Volume Formula

Length of Cuboid given Space Diagonal Example

Length of Cuboid given Space Diagonal Solution

Length of Cuboid given Space Diagonal Formula Elements

Other Formulas to find Length of Cuboid

Other formulas in Length of Cuboid category

How to Evaluate Length of Cuboid given Space Diagonal?

FAQs on Length of Cuboid given Space Diagonal

Variable Name

GoLength of Cuboid given Volume Formula