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Length of Cuboid given Surface to Volume Ratio Formula

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

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

Length of Cuboid given Surface to Volume Ratio Example

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

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

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

9.2308 = \frac{6 \cdot 8}{\frac{0.8 \cdot 6 \cdot 8}{2} - (6 + 8)}

9.2308m = \frac{6m \cdot 8m}{\frac{0.8m⁻¹ \cdot 6m \cdot 8m}{2} - (6m + 8m)}

9.2308 = \frac{6 \cdot 8}{\frac{0.8 \cdot 6 \cdot 8}{2} - (6 + 8)}

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Length of Cuboid given Surface to Volume Ratio Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

l = \frac{6m \cdot 8m}{\frac{0.8m⁻¹ \cdot 6m \cdot 8m}{2} - (6m + 8m)}

Next Step Prepare to Evaluate

∴

l = \frac{6 \cdot 8}{\frac{0.8 \cdot 6 \cdot 8}{2} - (6 + 8)}

Next Step Evaluate

∴

l = 9.23076923076923m

LAST Step Rounding Answer

∴

l = 9.2308m

Length of Cuboid given Surface to Volume Ratio Formula Elements

Variables

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

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

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 Length of Cuboid

Go Length of Cuboid given Space Diagonal

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

Go Length of Cuboid given Volume

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

Go Length of Cuboid given Lateral Surface Area

l = \frac{LSA}{2 \cdot h} - w

Go Length of Cuboid given Total Surface Area

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

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

Length of Cuboid given Surface to Volume Ratio evaluator uses Length of Cuboid = (Width of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Height of Cuboid)/2-(Width of Cuboid+Height of Cuboid)) to evaluate the Length of Cuboid, The Length of Cuboid given Surface to Volume Ratio 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 surface to volume ratio of the Cuboid. Length of Cuboid is denoted by l symbol.

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

FAQs on Length of Cuboid given Surface to Volume Ratio

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

The formula of Length of Cuboid given Surface to Volume Ratio is expressed as Length of Cuboid = (Width of Cuboid*Height of Cuboid)/((Surface to Volume Ratio of Cuboid*Width of Cuboid*Height of Cuboid)/2-(Width of Cuboid+Height of Cuboid)). Here is an example- 9.230769 = (6*8)/((0.8*6*8)/2-(6+8)).

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

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

What are the other ways to Calculate Length of Cuboid?

Here are the different ways to Calculate Length of Cuboid-

Length of Cuboid=sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)
Length of Cuboid=Volume of Cuboid/(Width of Cuboid*Height of Cuboid)
Length of Cuboid=Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid

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

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

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

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

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Length of Cuboid given Surface to Volume Ratio Formula

​GoLength of Cuboid given Space Diagonal Formula

​GoLength of Cuboid given Volume Formula

Length of Cuboid given Surface to Volume Ratio Example

Length of Cuboid given Surface to Volume Ratio Solution

Length of Cuboid given Surface to Volume Ratio Formula Elements

Other Formulas to find Length of Cuboid

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

FAQs on Length of Cuboid given Surface to Volume Ratio

Variable Name

GoLength of Cuboid given Space Diagonal Formula

GoLength of Cuboid given Volume Formula