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Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Formula

GoSurface to Volume Ratio of Hollow Cuboid given Inner and Outer Length Formula

GoSurface to Volume Ratio of Hollow Cuboid given Inner and Outer Breadth Formula

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Surface to Volume Ratio of Hollow Cuboid is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid. Check FAQs

R A/V = \frac{4 \cdot ((h \cdot b Outer) + (h \cdot (l Inner + 2 \cdot t)) + (b Outer \cdot t) + ((l Inner + 2 \cdot t) \cdot t) - (2 \cdot t \cdot h) - (2 \cdot t^{2}))}{2 \cdot h \cdot t \cdot (l Inner + b Outer)}

R_A/V - Surface to Volume Ratio of Hollow Cuboid?h - Height of Hollow Cuboid?b_Outer - Outer Breadth of Hollow Cuboid?l_Inner - Inner Length of Hollow Cuboid?t - Thickness of Hollow Cuboid?

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Example

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Here is how the Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length equation looks like with Values.

Here is how the Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length equation looks like with Units.

Here is how the Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length equation looks like.

0.7667 = \frac{4 \cdot ((20 \cdot 10) + (20 \cdot (9 + 2 \cdot 3)) + (10 \cdot 3) + ((9 + 2 \cdot 3) \cdot 3) - (2 \cdot 3 \cdot 20) - (2 \cdot 3^{2}))}{2 \cdot 20 \cdot 3 \cdot (9 + 10)}

0.7667m⁻¹ = \frac{4 \cdot ((20m \cdot 10m) + (20m \cdot (9m + 2 \cdot 3m)) + (10m \cdot 3m) + ((9m + 2 \cdot 3m) \cdot 3m) - (2 \cdot 3m \cdot 20m) - (2 \cdot {3m}^{2}))}{2 \cdot 20m \cdot 3m \cdot (9m + 10m)}

0.7667 = \frac{4 \cdot ((20 \cdot 10) + (20 \cdot (9 + 2 \cdot 3)) + (10 \cdot 3) + ((9 + 2 \cdot 3) \cdot 3) - (2 \cdot 3 \cdot 20) - (2 \cdot 3^{2}))}{2 \cdot 20 \cdot 3 \cdot (9 + 10)}

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Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

FIRST Step Consider the formula

R A/V = \frac{4 \cdot ((h \cdot b Outer) + (h \cdot (l Inner + 2 \cdot t)) + (b Outer \cdot t) + ((l Inner + 2 \cdot t) \cdot t) - (2 \cdot t \cdot h) - (2 \cdot t^{2}))}{2 \cdot h \cdot t \cdot (l Inner + b Outer)}

Next Step Substitute values of Variables

∴

R A/V = \frac{4 \cdot ((20m \cdot 10m) + (20m \cdot (9m + 2 \cdot 3m)) + (10m \cdot 3m) + ((9m + 2 \cdot 3m) \cdot 3m) - (2 \cdot 3m \cdot 20m) - (2 \cdot {3m}^{2}))}{2 \cdot 20m \cdot 3m \cdot (9m + 10m)}

Next Step Prepare to Evaluate

∴

R A/V = \frac{4 \cdot ((20 \cdot 10) + (20 \cdot (9 + 2 \cdot 3)) + (10 \cdot 3) + ((9 + 2 \cdot 3) \cdot 3) - (2 \cdot 3 \cdot 20) - (2 \cdot 3^{2}))}{2 \cdot 20 \cdot 3 \cdot (9 + 10)}

Next Step Evaluate

∴

R A/V = 0.766666666666667m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7667m⁻¹

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Formula Elements

Variables

Surface to Volume Ratio of Hollow Cuboid

Surface to Volume Ratio of Hollow Cuboid is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow 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 Hollow Cuboid

Height of Hollow Cuboid

Height of Hollow Cuboid is the height of the cuboidal surface or the vertical distance between the top and bottom rectangular faces of the Hollow Cuboid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Hollow Cuboid

Outer Breadth of Hollow Cuboid

Outer Breadth of Hollow Cuboid is the breadth of the outer cuboidal surface or the shorter edge length of the base rectangular face of the outer surface of the Hollow Cuboid.

Symbol: b_Outer

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Outer Breadth of Hollow Cuboid

Inner Length of Hollow Cuboid

Inner Length of Hollow Cuboid is the length of the inner cuboidal surface or the longer edge length of the base rectangular face of the inner surface of the Hollow Cuboid.

Symbol: l_Inner

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Inner Length of Hollow Cuboid

Thickness of Hollow Cuboid

Thickness of Hollow Cuboid is defined as the shortest distance between the adjacent and parallel pair of faces of the inner and outer cuboidal surfaces of the Hollow Cuboid.

Symbol: t

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Thickness of Hollow Cuboid

Other Formulas to find Surface to Volume Ratio of Hollow Cuboid

Go Surface to Volume Ratio of Hollow Cuboid given Inner and Outer Length

R A/V = \frac{4 \cdot ((h \cdot b Outer) + (h \cdot l Outer) + (b Outer \cdot (\frac{l Outer - l Inner}{2})) + (l Outer \cdot (\frac{l Outer - l Inner}{2})) - (2 \cdot (\frac{l Outer - l Inner}{2}) \cdot h) - (2 \cdot {(\frac{l Outer - l Inner}{2})}^{2}))}{h \cdot (l Outer - l Inner) \cdot (l Inner + b Outer)}

Go Surface to Volume Ratio of Hollow Cuboid given Inner and Outer Breadth

R A/V = \frac{4 \cdot ((h \cdot b Outer) + (h \cdot l Outer) + (b Outer \cdot (\frac{b Outer - b Inner}{2})) + (l Outer \cdot (\frac{b Outer - b Inner}{2})) - (2 \cdot (\frac{b Outer - b Inner}{2}) \cdot h) - (2 \cdot {(\frac{b Outer - b Inner}{2})}^{2}))}{h \cdot (b Outer - b Inner) \cdot (l Outer + b Inner)}

Go Surface to Volume Ratio of Hollow Cuboid given Outer Length and Inner Breadth

R A/V = \frac{4 \cdot ((h \cdot (b Inner + 2 \cdot t)) + (h \cdot l Outer) + ((b Inner + 2 \cdot t) \cdot t) + (l Outer \cdot t) - (2 \cdot t \cdot h) - (2 \cdot t^{2}))}{2 \cdot h \cdot t \cdot (b Inner + l Outer)}

Go Surface to Volume Ratio of Hollow Cuboid

R A/V = \frac{4 \cdot ((h \cdot b Outer) + (h \cdot l Outer) + (b Outer \cdot t) + (l Outer \cdot t) - (2 \cdot t \cdot h) - (2 \cdot t^{2}))}{2 \cdot h \cdot t \cdot (l Outer + b Outer - (2 \cdot t))}

How to Evaluate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length evaluator uses Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)) to evaluate the Surface to Volume Ratio of Hollow Cuboid, Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length formula is defined as the numerical ratio of the total surface area of the Hollow Cuboid to the volume of the Hollow Cuboid, calculated using the outer breadth and the inner length of the Hollow Cuboid. Surface to Volume Ratio of Hollow Cuboid is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length, enter Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (b_Outer), Inner Length of Hollow Cuboid (l_Inner) & Thickness of Hollow Cuboid (t) and hit the calculate button.

FAQs on Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length

What is the formula to find Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

The formula of Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length is expressed as Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)). Here is an example- 0.766667 = (4*((20*10)+(20*(9+2*3))+(10*3)+((9+2*3)*3)-(2*3*20)-(2*3^2)))/(2*20*3*(9+10)).

How to calculate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

With Height of Hollow Cuboid (h), Outer Breadth of Hollow Cuboid (b_Outer), Inner Length of Hollow Cuboid (l_Inner) & Thickness of Hollow Cuboid (t) we can find Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length using the formula - Surface to Volume Ratio of Hollow Cuboid = (4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*(Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Outer Breadth of Hollow Cuboid*Thickness of Hollow Cuboid)+((Inner Length of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid)).

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

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

Surface to Volume Ratio of Hollow Cuboid=(4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+(Outer Breadth of Hollow Cuboid*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2))+(Outer Length of Hollow Cuboid*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2))-(2*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2)*Height of Hollow Cuboid)-(2*((Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)/2)^2)))/(Height of Hollow Cuboid*(Outer Length of Hollow Cuboid-Inner Length of Hollow Cuboid)*(Inner Length of Hollow Cuboid+Outer Breadth of Hollow Cuboid))
Surface to Volume Ratio of Hollow Cuboid=(4*((Height of Hollow Cuboid*Outer Breadth of Hollow Cuboid)+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+(Outer Breadth of Hollow Cuboid*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2))+(Outer Length of Hollow Cuboid*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2))-(2*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2)*Height of Hollow Cuboid)-(2*((Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)/2)^2)))/(Height of Hollow Cuboid*(Outer Breadth of Hollow Cuboid-Inner Breadth of Hollow Cuboid)*(Outer Length of Hollow Cuboid+Inner Breadth of Hollow Cuboid))
Surface to Volume Ratio of Hollow Cuboid=(4*((Height of Hollow Cuboid*(Inner Breadth of Hollow Cuboid+2*Thickness of Hollow Cuboid))+(Height of Hollow Cuboid*Outer Length of Hollow Cuboid)+((Inner Breadth of Hollow Cuboid+2*Thickness of Hollow Cuboid)*Thickness of Hollow Cuboid)+(Outer Length of Hollow Cuboid*Thickness of Hollow Cuboid)-(2*Thickness of Hollow Cuboid*Height of Hollow Cuboid)-(2*Thickness of Hollow Cuboid^2)))/(2*Height of Hollow Cuboid*Thickness of Hollow Cuboid*(Inner Breadth of Hollow Cuboid+Outer Length of Hollow Cuboid))

Can the Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length be negative?

No, the Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner 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 Hollow Cuboid given Outer Breadth and Inner Length can be measured.

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Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Formula

​GoSurface to Volume Ratio of Hollow Cuboid given Inner and Outer Length Formula

​GoSurface to Volume Ratio of Hollow Cuboid given Inner and Outer Breadth Formula

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Example

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Solution

Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length Formula Elements

Other Formulas to find Surface to Volume Ratio of Hollow Cuboid

How to Evaluate Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length?

FAQs on Surface to Volume Ratio of Hollow Cuboid given Outer Breadth and Inner Length

Variable Name

GoSurface to Volume Ratio of Hollow Cuboid given Inner and Outer Length Formula

GoSurface to Volume Ratio of Hollow Cuboid given Inner and Outer Breadth Formula