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Height of Cuboid given Surface to Volume Ratio Formula

GoHeight of Cuboid given Space Diagonal Formula

GoHeight of Cuboid given Volume Formula

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

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

h - Height of Cuboid?w - Width of Cuboid?l - Length of Cuboid?R_A/V - Surface to Volume Ratio of Cuboid?

Height of Cuboid given Surface to Volume Ratio Example

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Here is how the Height of Cuboid given Surface to Volume Ratio equation looks like with Values.

Here is how the Height of Cuboid given Surface to Volume Ratio equation looks like with Units.

Here is how the Height of Cuboid given Surface to Volume Ratio equation looks like.

6.6667 = \frac{6 \cdot 12}{\frac{0.8 \cdot 6 \cdot 12}{2} - (6 + 12)}

6.6667m = \frac{6m \cdot 12m}{\frac{0.8m⁻¹ \cdot 6m \cdot 12m}{2} - (6m + 12m)}

6.6667 = \frac{6 \cdot 12}{\frac{0.8 \cdot 6 \cdot 12}{2} - (6 + 12)}

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Height of Cuboid given Surface to Volume Ratio Solution

Follow our step by step solution on how to calculate Height of Cuboid given Surface to Volume Ratio?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h = \frac{6m \cdot 12m}{\frac{0.8m⁻¹ \cdot 6m \cdot 12m}{2} - (6m + 12m)}

Next Step Prepare to Evaluate

∴

h = \frac{6 \cdot 12}{\frac{0.8 \cdot 6 \cdot 12}{2} - (6 + 12)}

Next Step Evaluate

∴

h = 6.66666666666666m

LAST Step Rounding Answer

∴

h = 6.6667m

Height of Cuboid given Surface to Volume Ratio Formula Elements

Variables

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

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

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

Surface to Volume Ratio of Cuboid

The Surface to Volume Ratio of Cuboid is the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Cuboid

Other Formulas to find Height of Cuboid

Go Height of Cuboid given Space Diagonal

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

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}

How to Evaluate Height of Cuboid given Surface to Volume Ratio?

Height of Cuboid given Surface to Volume Ratio evaluator uses Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid)) to evaluate the Height of Cuboid, The Height of Cuboid given Surface to Volume Ratio formula is defined as the vertical distance measured from the base to the top of the Cuboid and calculated using the surface to volume ratio of the Cuboid. Height of Cuboid is denoted by h symbol.

How to evaluate Height of Cuboid given Surface to Volume Ratio using this online evaluator? To use this online evaluator for Height of Cuboid given Surface to Volume Ratio, enter Width of Cuboid (w), Length of Cuboid (l) & Surface to Volume Ratio of Cuboid (R_A/V) and hit the calculate button.

FAQs on Height of Cuboid given Surface to Volume Ratio

What is the formula to find Height of Cuboid given Surface to Volume Ratio?

The formula of Height of Cuboid given Surface to Volume Ratio is expressed as Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid)). Here is an example- 6.666667 = (6*12)/((0.8*6*12)/2-(6+12)).

How to calculate Height of Cuboid given Surface to Volume Ratio?

With Width of Cuboid (w), Length of Cuboid (l) & Surface to Volume Ratio of Cuboid (R_A/V) we can find Height of Cuboid given Surface to Volume Ratio using the formula - Height of Cuboid = (Width of Cuboid*Length of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Length of Cuboid)/2-(Width of Cuboid+Length of Cuboid)).

What are the other ways to Calculate Height of Cuboid?

Here are the different ways to Calculate Height of Cuboid-

Height of Cuboid=sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)
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))

Can the Height of Cuboid given Surface to Volume Ratio be negative?

No, the Height of Cuboid given Surface to Volume Ratio, measured in Length cannot be negative.

Which unit is used to measure Height of Cuboid given Surface to Volume Ratio?

Height of Cuboid given Surface to Volume Ratio 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 Surface to Volume Ratio can be measured.

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Height of Cuboid given Surface to Volume Ratio Formula

​GoHeight of Cuboid given Space Diagonal Formula

​GoHeight of Cuboid given Volume Formula

Height of Cuboid given Surface to Volume Ratio Example

Height of Cuboid given Surface to Volume Ratio Solution

Height of Cuboid given Surface to Volume Ratio Formula Elements

Other Formulas to find Height of Cuboid

How to Evaluate Height of Cuboid given Surface to Volume Ratio?

FAQs on Height of Cuboid given Surface to Volume Ratio

Variable Name

GoHeight of Cuboid given Space Diagonal Formula

GoHeight of Cuboid given Volume Formula