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Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Formula

GoSurface to Volume Ratio of Cuboid Formula

GoSurface to Volume Ratio of Cuboid given Space Diagonal, Length, and Width Formula

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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. Check FAQs

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

R_A/V - Surface to Volume Ratio of Cuboid?LSA - Lateral Surface Area of Cuboid?l - Length of Cuboid?w - Width of Cuboid?

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Example

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Here is how the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width equation looks like with Values.

Here is how the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width equation looks like with Units.

Here is how the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width equation looks like.

0.74 = \frac{300 + (2 \cdot 12 \cdot 6)}{12 \cdot 6 \cdot \frac{300}{2 \cdot (12 + 6)}}

0.74m⁻¹ = \frac{300m² + (2 \cdot 12m \cdot 6m)}{12m \cdot 6m \cdot \frac{300m²}{2 \cdot (12m + 6m)}}

0.74 = \frac{300 + (2 \cdot 12 \cdot 6)}{12 \cdot 6 \cdot \frac{300}{2 \cdot (12 + 6)}}

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3D Geometry » fx Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

R A/V = \frac{300m² + (2 \cdot 12m \cdot 6m)}{12m \cdot 6m \cdot \frac{300m²}{2 \cdot (12m + 6m)}}

Next Step Prepare to Evaluate

∴

R A/V = \frac{300 + (2 \cdot 12 \cdot 6)}{12 \cdot 6 \cdot \frac{300}{2 \cdot (12 + 6)}}

LAST Step Evaluate

∴

R A/V = 0.74m⁻¹

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Formula Elements

Variables

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

Lateral Surface Area of Cuboid

The Lateral Surface Area of Cuboid is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Cuboid.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area 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

Other Formulas to find Surface to Volume Ratio of Cuboid

Go Surface to Volume Ratio of Cuboid

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

Go Surface to Volume Ratio of Cuboid given Space Diagonal, Length, and Width

R A/V = \frac{2 \cdot ((l \cdot \sqrt{{d Space}^{2} - l^{2} - w^{2}}) + (\sqrt{{d Space}^{2} - l^{2} - w^{2}} \cdot w) + (l \cdot w))}{\sqrt{{d Space}^{2} - w^{2} - l^{2}} \cdot w \cdot l}

Go Surface to Volume Ratio of Cuboid given Space Diagonal, Length, and Height

R A/V = \frac{2 \cdot ((l \cdot h) + (h \cdot \sqrt{{d Space}^{2} - l^{2} - h^{2}}) + (l \cdot \sqrt{{d Space}^{2} - l^{2} - h^{2}}))}{l \cdot h \cdot \sqrt{{d Space}^{2} - l^{2} - h^{2}}}

Go Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width

R A/V = \frac{2 \cdot ((\sqrt{{d Space}^{2} - w^{2} - h^{2}} \cdot h) + (h \cdot w) + (\sqrt{{d Space}^{2} - w^{2} - h^{2}} \cdot w))}{\sqrt{{d Space}^{2} - w^{2} - h^{2}} \cdot w \cdot h}

How to Evaluate Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width?

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width evaluator uses Surface to Volume Ratio of Cuboid = (Lateral Surface Area of Cuboid+(2*Length of Cuboid*Width of Cuboid))/(Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))) to evaluate the Surface to Volume Ratio of Cuboid, The Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width formula is defined as the numerical ratio of the total surface area of a Cuboid to the volume of the Cuboid, and is calculated using the lateral surface area, width, and length of the Cuboid. Surface to Volume Ratio of Cuboid is denoted by R_A/V symbol.

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

FAQs on Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width

What is the formula to find Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width?

The formula of Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width is expressed as Surface to Volume Ratio of Cuboid = (Lateral Surface Area of Cuboid+(2*Length of Cuboid*Width of Cuboid))/(Length of Cuboid*Width of Cuboid*Lateral Surface Area of Cuboid/(2*(Length of Cuboid+Width of Cuboid))). Here is an example- 0.74 = (300+(2*12*6))/(12*6*300/(2*(12+6))).

How to calculate Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width?

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

What are the other ways to Calculate Surface to Volume Ratio of Cuboid?

Here are the different ways to Calculate Surface to Volume Ratio of Cuboid-

Surface to Volume Ratio of Cuboid=(2*((Length of Cuboid*Width of Cuboid)+(Length of Cuboid*Height of Cuboid)+(Width of Cuboid*Height of Cuboid)))/(Length of Cuboid*Width of Cuboid*Height of Cuboid)
Surface to Volume Ratio of Cuboid=(2*((Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2))+(sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2)*Width of Cuboid)+(Length of Cuboid*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Length of Cuboid^2)*Width of Cuboid*Length of Cuboid)
Surface to Volume Ratio of Cuboid=(2*((Length of Cuboid*Height of Cuboid)+(Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))+(Length of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))))/(Length of Cuboid*Height of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Height of Cuboid^2))

Can the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width be negative?

No, the Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width?

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width is usually measured using the 1 per Meter[m⁻¹] for Reciprocal Length. 1 per Kilometer[m⁻¹], 1 per Mile[m⁻¹], 1 per Yard[m⁻¹] are the few other units in which Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width can be measured.

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Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Formula

​GoSurface to Volume Ratio of Cuboid Formula

​GoSurface to Volume Ratio of Cuboid given Space Diagonal, Length, and Width Formula

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Example

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Solution

Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width Formula Elements

Other Formulas to find Surface to Volume Ratio of Cuboid

How to Evaluate Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width?

FAQs on Surface to Volume Ratio of Cuboid given Lateral Surface Area, Length, and Width

Variable Name

GoSurface to Volume Ratio of Cuboid Formula

GoSurface to Volume Ratio of Cuboid given Space Diagonal, Length, and Width Formula