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Surface to Volume Ratio of Obtuse Edged Cuboid Formula

GoSurface to Volume Ratio of Obtuse Edged Cuboid given Cuboidal Edges Formula

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Surface to Volume Ratio of Obtuse Edged Cuboid is the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged Cuboid. Check FAQs

R A/V = \frac{2 \cdot ((l Inner \cdot w Inner) + (w Inner \cdot h Inner) + (h Inner \cdot l Inner) + ((2 \cdot w Cut) \cdot (l Inner + w Inner + h Inner)) + (3 \cdot {w Cut}^{2}))}{(l Inner \cdot w Inner \cdot h Inner) + (\sqrt{2} \cdot w Cut \cdot ((l Inner \cdot w Inner) + (w Inner \cdot h Inner) + (h Inner \cdot l Inner))) + (({w Cut}^{2}) \cdot (l Inner + w Inner + h Inner)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({w Cut}^{3}))}

R_A/V - Surface to Volume Ratio of Obtuse Edged Cuboid?l_Inner - Inner Length of Obtuse Edged Cuboid?w_Inner - Inner Width of Obtuse Edged Cuboid?h_Inner - Inner Height of Obtuse Edged Cuboid?w_Cut - Cut Width of Obtuse Edged Cuboid?

Surface to Volume Ratio of Obtuse Edged Cuboid Example

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

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

Here is how the Surface to Volume Ratio of Obtuse Edged Cuboid equation looks like.

0.4635 = \frac{2 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8) + ((2 \cdot 3) \cdot (8 + 6 + 11)) + (3 \cdot 3^{2}))}{(8 \cdot 6 \cdot 11) + (\sqrt{2} \cdot 3 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8))) + ((3^{2}) \cdot (8 + 6 + 11)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot (3^{3}))}

0.4635m⁻¹ = \frac{2 \cdot ((8m \cdot 6m) + (6m \cdot 11m) + (11m \cdot 8m) + ((2 \cdot 3m) \cdot (8m + 6m + 11m)) + (3 \cdot {3m}^{2}))}{(8m \cdot 6m \cdot 11m) + (\sqrt{2} \cdot 3m \cdot ((8m \cdot 6m) + (6m \cdot 11m) + (11m \cdot 8m))) + (({3m}^{2}) \cdot (8m + 6m + 11m)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({3m}^{3}))}

0.4635 = \frac{2 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8) + ((2 \cdot 3) \cdot (8 + 6 + 11)) + (3 \cdot 3^{2}))}{(8 \cdot 6 \cdot 11) + (\sqrt{2} \cdot 3 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8))) + ((3^{2}) \cdot (8 + 6 + 11)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot (3^{3}))}

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Surface to Volume Ratio of Obtuse Edged Cuboid Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Obtuse Edged Cuboid?

FIRST Step Consider the formula

R A/V = \frac{2 \cdot ((l Inner \cdot w Inner) + (w Inner \cdot h Inner) + (h Inner \cdot l Inner) + ((2 \cdot w Cut) \cdot (l Inner + w Inner + h Inner)) + (3 \cdot {w Cut}^{2}))}{(l Inner \cdot w Inner \cdot h Inner) + (\sqrt{2} \cdot w Cut \cdot ((l Inner \cdot w Inner) + (w Inner \cdot h Inner) + (h Inner \cdot l Inner))) + (({w Cut}^{2}) \cdot (l Inner + w Inner + h Inner)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({w Cut}^{3}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot ((8m \cdot 6m) + (6m \cdot 11m) + (11m \cdot 8m) + ((2 \cdot 3m) \cdot (8m + 6m + 11m)) + (3 \cdot {3m}^{2}))}{(8m \cdot 6m \cdot 11m) + (\sqrt{2} \cdot 3m \cdot ((8m \cdot 6m) + (6m \cdot 11m) + (11m \cdot 8m))) + (({3m}^{2}) \cdot (8m + 6m + 11m)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({3m}^{3}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8) + ((2 \cdot 3) \cdot (8 + 6 + 11)) + (3 \cdot 3^{2}))}{(8 \cdot 6 \cdot 11) + (\sqrt{2} \cdot 3 \cdot ((8 \cdot 6) + (6 \cdot 11) + (11 \cdot 8))) + ((3^{2}) \cdot (8 + 6 + 11)) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot (3^{3}))}

Next Step Evaluate

∴

R A/V = 0.463475540131079m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.4635m⁻¹

Surface to Volume Ratio of Obtuse Edged Cuboid Formula Elements

Variables

Functions

Surface to Volume Ratio of Obtuse Edged Cuboid

Surface to Volume Ratio of Obtuse Edged Cuboid is the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged 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 Obtuse Edged Cuboid

Inner Length of Obtuse Edged Cuboid

Inner Length of Obtuse Edged Cuboid is the length of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.

Symbol: l_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Length of Obtuse Edged Cuboid

Inner Width of Obtuse Edged Cuboid

Inner Width of Obtuse Edged Cuboid is the width of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.

Symbol: w_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Width of Obtuse Edged Cuboid

Inner Height of Obtuse Edged Cuboid

Inner Height of Obtuse Edged Cuboid is the height of the smaller cuboid, formed after edges are regularly cut off from the original cuboid to form the Obtuse Edged Cuboid.

Symbol: h_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Height of Obtuse Edged Cuboid

Cut Width of Obtuse Edged Cuboid

Cut Width of Obtuse Edged Cuboid is the distance between two newly emerged, parallel edges of Obtuse Edged Cuboid, which emerged after edges are regularly cut off from the original cuboid.

Symbol: w_Cut

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cut Width of Obtuse Edged 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 Surface to Volume Ratio of Obtuse Edged Cuboid

Go Surface to Volume Ratio of Obtuse Edged Cuboid given Cuboidal Edges

R A/V = \frac{2 \cdot ((l Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (w Cuboid - (\sqrt{2} \cdot w Cut)) + (l Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (h Cuboid - (\sqrt{2} \cdot w Cut)) + (w Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (h Cuboid - (\sqrt{2} \cdot w Cut)) + 2 \cdot w Cut \cdot ((l Cuboid - (\sqrt{2} \cdot w Cut)) + (w Cuboid - (\sqrt{2} \cdot w Cut)) + (h Cuboid - (\sqrt{2} \cdot w Cut))) + 3 \cdot {w Cut}^{2})}{(l Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (w Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (h Cuboid - (\sqrt{2} \cdot w Cut)) + \sqrt{2} \cdot w Cut \cdot ((l Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (w Cuboid - (\sqrt{2} \cdot w Cut)) + (l Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (h Cuboid - (\sqrt{2} \cdot w Cut)) + (w Cuboid - (\sqrt{2} \cdot w Cut)) \cdot (h Cuboid - (\sqrt{2} \cdot w Cut))) + {w Cut}^{2} \cdot ((l Cuboid - (\sqrt{2} \cdot w Cut)) + (w Cuboid - (\sqrt{2} \cdot w Cut)) + (h Cuboid - (\sqrt{2} \cdot w Cut))) + ((\frac{4}{3 \cdot \sqrt{2}}) \cdot ({w Cut}^{3}))}

How to Evaluate Surface to Volume Ratio of Obtuse Edged Cuboid?

Surface to Volume Ratio of Obtuse Edged Cuboid evaluator uses Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))) to evaluate the Surface to Volume Ratio of Obtuse Edged Cuboid, Surface to Volume Ratio of Obtuse Edged Cuboid formula is defined as the numerical ratio of the total surface area of the Obtuse Edged Cuboid to the volume of the Obtuse Edged Cuboid. Surface to Volume Ratio of Obtuse Edged Cuboid is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Obtuse Edged Cuboid using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Obtuse Edged Cuboid, enter Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Inner Height of Obtuse Edged Cuboid (h_Inner) & Cut Width of Obtuse Edged Cuboid (w_Cut) and hit the calculate button.

FAQs on Surface to Volume Ratio of Obtuse Edged Cuboid

What is the formula to find Surface to Volume Ratio of Obtuse Edged Cuboid?

The formula of Surface to Volume Ratio of Obtuse Edged Cuboid is expressed as Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))). Here is an example- 0.463476 = (2*((8*6)+(6*11)+(11*8)+((2*3)*(8+6+11))+(3*3^2)))/((8*6*11)+(sqrt(2)*3*((8*6)+(6*11)+(11*8)))+((3^2)*(8+6+11))+((4/(3*sqrt(2)))*(3^3))).

How to calculate Surface to Volume Ratio of Obtuse Edged Cuboid?

With Inner Length of Obtuse Edged Cuboid (l_Inner), Inner Width of Obtuse Edged Cuboid (w_Inner), Inner Height of Obtuse Edged Cuboid (h_Inner) & Cut Width of Obtuse Edged Cuboid (w_Cut) we can find Surface to Volume Ratio of Obtuse Edged Cuboid using the formula - Surface to Volume Ratio of Obtuse Edged Cuboid = (2*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)+((2*Cut Width of Obtuse Edged Cuboid)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+(3*Cut Width of Obtuse Edged Cuboid^2)))/((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Inner Length of Obtuse Edged Cuboid*Inner Width of Obtuse Edged Cuboid)+(Inner Width of Obtuse Edged Cuboid*Inner Height of Obtuse Edged Cuboid)+(Inner Height of Obtuse Edged Cuboid*Inner Length of Obtuse Edged Cuboid)))+((Cut Width of Obtuse Edged Cuboid^2)*(Inner Length of Obtuse Edged Cuboid+Inner Width of Obtuse Edged Cuboid+Inner Height of Obtuse Edged Cuboid))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Obtuse Edged Cuboid=(2*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+2*Cut Width of Obtuse Edged Cuboid*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+3*Cut Width of Obtuse Edged Cuboid^2))/((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+sqrt(2)*Cut Width of Obtuse Edged Cuboid*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))*(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+Cut Width of Obtuse Edged Cuboid^2*((Cuboidal Length of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Width of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid))+(Cuboidal Height of Obtuse Edged Cuboid-(sqrt(2)*Cut Width of Obtuse Edged Cuboid)))+((4/(3*sqrt(2)))*(Cut Width of Obtuse Edged Cuboid^3)))

Can the Surface to Volume Ratio of Obtuse Edged Cuboid be negative?

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

Which unit is used to measure Surface to Volume Ratio of Obtuse Edged Cuboid?

Surface to Volume Ratio of Obtuse Edged Cuboid 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 Obtuse Edged Cuboid can be measured.

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Surface to Volume Ratio of Obtuse Edged Cuboid Formula

​GoSurface to Volume Ratio of Obtuse Edged Cuboid given Cuboidal Edges Formula

Surface to Volume Ratio of Obtuse Edged Cuboid Example

Surface to Volume Ratio of Obtuse Edged Cuboid Solution

Surface to Volume Ratio of Obtuse Edged Cuboid Formula Elements

Other Formulas to find Surface to Volume Ratio of Obtuse Edged Cuboid

How to Evaluate Surface to Volume Ratio of Obtuse Edged Cuboid?

FAQs on Surface to Volume Ratio of Obtuse Edged Cuboid

Variable Name

GoSurface to Volume Ratio of Obtuse Edged Cuboid given Cuboidal Edges Formula