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Height of Cuboid given Space Diagonal Formula

GoHeight of Cuboid given Volume Formula

GoHeight of Cuboid given Lateral Surface Area Formula

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

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

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

Height of Cuboid given Space Diagonal Example

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

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

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

8.7178 = \sqrt{16^{2} - 12^{2} - 6^{2}}

8.7178m = \sqrt{{16m}^{2} - {12m}^{2} - {6m}^{2}}

8.7178 = \sqrt{16^{2} - 12^{2} - 6^{2}}

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Height of Cuboid given Space Diagonal Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \sqrt{{16m}^{2} - {12m}^{2} - {6m}^{2}}

Next Step Prepare to Evaluate

∴

h = \sqrt{16^{2} - 12^{2} - 6^{2}}

Next Step Evaluate

∴

h = 8.71779788708135m

LAST Step Rounding Answer

∴

h = 8.7178m

Height of Cuboid given Space Diagonal Formula Elements

Variables

Functions

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

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

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

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

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 Height of Cuboid

Go Height of Cuboid given Volume

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

Go Height of Cuboid given Lateral Surface Area

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

Go Height of Cuboid given Total Surface Area

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

Go Height of Cuboid given Surface to Volume Ratio

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

How to Evaluate Height of Cuboid given Space Diagonal?

Height of Cuboid given Space Diagonal evaluator uses Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2) to evaluate the Height of Cuboid, The Height of Cuboid given Space Diagonal formula is defined as the vertical distance measured from base to the top of Cuboid, and calculated using the space diagonal of Cuboid. Height of Cuboid is denoted by h symbol.

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

FAQs on Height of Cuboid given Space Diagonal

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

The formula of Height of Cuboid given Space Diagonal is expressed as Height of Cuboid = sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2). Here is an example- 8.717798 = sqrt(16^2-12^2-6^2).

How to calculate Height of Cuboid given Space Diagonal?

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

What are the other ways to Calculate Height of Cuboid?

Here are the different ways to Calculate Height of Cuboid-

Height of Cuboid=Volume of Cuboid/(Length of Cuboid*Width of Cuboid)
Height of Cuboid=Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))
Height of Cuboid=(Total Surface Area of Cuboid/2-(Length of Cuboid*Width of Cuboid))/(Length of Cuboid+Width of Cuboid)

Can the Height of Cuboid given Space Diagonal be negative?

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

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

Height 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 Height of Cuboid given Space Diagonal can be measured.

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Height of Cuboid given Space Diagonal Formula

​GoHeight of Cuboid given Volume Formula

​GoHeight of Cuboid given Lateral Surface Area Formula

Height of Cuboid given Space Diagonal Example

Height of Cuboid given Space Diagonal Solution

Height of Cuboid given Space Diagonal Formula Elements

Other Formulas to find Height of Cuboid

How to Evaluate Height of Cuboid given Space Diagonal?

FAQs on Height of Cuboid given Space Diagonal

Variable Name

GoHeight of Cuboid given Volume Formula

GoHeight of Cuboid given Lateral Surface Area Formula