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Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length Formula

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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{2 \cdot ((l \cdot \frac{P - (4 \cdot (l + h))}{4}) + (l \cdot h) + (\frac{P - (4 \cdot (l + h))}{4} \cdot h))}{l \cdot (\frac{P - (4 \cdot (l + h))}{4}) \cdot h}

R_A/V - Surface to Volume Ratio of Cuboid?l - Length of Cuboid?P - Perimeter of Cuboid?h - Height of Cuboid?

Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length Example

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

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

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

0.6833 = \frac{2 \cdot ((12 \cdot \frac{110 - (4 \cdot (12 + 8))}{4}) + (12 \cdot 8) + (\frac{110 - (4 \cdot (12 + 8))}{4} \cdot 8))}{12 \cdot (\frac{110 - (4 \cdot (12 + 8))}{4}) \cdot 8}

0.6833m⁻¹ = \frac{2 \cdot ((12m \cdot \frac{110m - (4 \cdot (12m + 8m))}{4}) + (12m \cdot 8m) + (\frac{110m - (4 \cdot (12m + 8m))}{4} \cdot 8m))}{12m \cdot (\frac{110m - (4 \cdot (12m + 8m))}{4}) \cdot 8m}

0.6833 = \frac{2 \cdot ((12 \cdot \frac{110 - (4 \cdot (12 + 8))}{4}) + (12 \cdot 8) + (\frac{110 - (4 \cdot (12 + 8))}{4} \cdot 8))}{12 \cdot (\frac{110 - (4 \cdot (12 + 8))}{4}) \cdot 8}

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Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length Solution

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

FIRST Step Consider the formula

R A/V = \frac{2 \cdot ((l \cdot \frac{P - (4 \cdot (l + h))}{4}) + (l \cdot h) + (\frac{P - (4 \cdot (l + h))}{4} \cdot h))}{l \cdot (\frac{P - (4 \cdot (l + h))}{4}) \cdot h}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot ((12m \cdot \frac{110m - (4 \cdot (12m + 8m))}{4}) + (12m \cdot 8m) + (\frac{110m - (4 \cdot (12m + 8m))}{4} \cdot 8m))}{12m \cdot (\frac{110m - (4 \cdot (12m + 8m))}{4}) \cdot 8m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot ((12 \cdot \frac{110 - (4 \cdot (12 + 8))}{4}) + (12 \cdot 8) + (\frac{110 - (4 \cdot (12 + 8))}{4} \cdot 8))}{12 \cdot (\frac{110 - (4 \cdot (12 + 8))}{4}) \cdot 8}

Next Step Evaluate

∴

R A/V = 0.683333333333333m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.6833m⁻¹

Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length 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

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

Perimeter of Cuboid

Perimeter of Cuboid is the total distance around all the edges of the Cuboid.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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 Perimeter, Height, and Length?

Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length evaluator uses Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)+(Length of Cuboid*Height of Cuboid)+((Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4*Height of Cuboid)))/(Length of Cuboid*((Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)*Height of Cuboid) to evaluate the Surface to Volume Ratio of Cuboid, The Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length 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 perimeter, length, and height 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 Perimeter, Height, and Length using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length, enter Length of Cuboid (l), Perimeter of Cuboid (P) & Height of Cuboid (h) and hit the calculate button.

FAQs on Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length

What is the formula to find Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length?

The formula of Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length is expressed as Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)+(Length of Cuboid*Height of Cuboid)+((Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4*Height of Cuboid)))/(Length of Cuboid*((Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)*Height of Cuboid). Here is an example- 0.683333 = (2*((12*(110-(4*(12+8)))/4)+(12*8)+((110-(4*(12+8)))/4*8)))/(12*((110-(4*(12+8)))/4)*8).

How to calculate Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length?

With Length of Cuboid (l), Perimeter of Cuboid (P) & Height of Cuboid (h) we can find Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length using the formula - Surface to Volume Ratio of Cuboid = (2*((Length of Cuboid*(Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)+(Length of Cuboid*Height of Cuboid)+((Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4*Height of Cuboid)))/(Length of Cuboid*((Perimeter of Cuboid-(4*(Length of Cuboid+Height of Cuboid)))/4)*Height 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 Perimeter, Height, and Length be negative?

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

Which unit is used to measure Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length?

Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length 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 Perimeter, Height, and Length can be measured.

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Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length 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 Perimeter, Height, and Length Example

Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length Solution

Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length Formula Elements

Other Formulas to find Surface to Volume Ratio of Cuboid

How to Evaluate Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length?

FAQs on Surface to Volume Ratio of Cuboid given Perimeter, Height, and Length

Variable Name

GoSurface to Volume Ratio of Cuboid Formula

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