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Surface to Volume Ratio of Cuboid given Space Diagonal, Height, 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{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}

R_A/V - Surface to Volume Ratio of Cuboid?d_Space - Space Diagonal of Cuboid?w - Width of Cuboid?h - Height of Cuboid?

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

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

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

Here is how the Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width equation looks like.

0.7435 = \frac{2 \cdot ((\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 8) + (8 \cdot 6) + (\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6))}{\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6 \cdot 8}

0.7435m⁻¹ = \frac{2 \cdot ((\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 8m) + (8m \cdot 6m) + (\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 6m))}{\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 6m \cdot 8m}

0.7435 = \frac{2 \cdot ((\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 8) + (8 \cdot 6) + (\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6))}{\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6 \cdot 8}

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

Follow our step by step solution on how to calculate Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width?

FIRST Step Consider the formula

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}

Next Step Substitute values of Variables

∴

R A/V = \frac{2 \cdot ((\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 8m) + (8m \cdot 6m) + (\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 6m))}{\sqrt{{16m}^{2} - {6m}^{2} - {8m}^{2}} \cdot 6m \cdot 8m}

Next Step Prepare to Evaluate

∴

R A/V = \frac{2 \cdot ((\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 8) + (8 \cdot 6) + (\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6))}{\sqrt{16^{2} - 6^{2} - 8^{2}} \cdot 6 \cdot 8}

Next Step Evaluate

∴

R A/V = 0.74346148713842m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.7435m⁻¹

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

Variables

Functions

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

Space Diagonal of Cuboid

The Space Diagonal of Cuboid is the length of the line connecting one vertex to the opposite vertex through the interior of the Cuboid.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal 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

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 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 Lateral Surface Area, Length, and Width

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

How to Evaluate Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width?

Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width evaluator uses Surface to Volume Ratio of Cuboid = (2*((sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid*Height of Cuboid) to evaluate the Surface to Volume Ratio of Cuboid, The Surface to Volume Ratio of Cuboid given Space Diagonal, Height, 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 space diagonal, width, 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 Space Diagonal, Height, and Width using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width, enter Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) and hit the calculate button.

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

What is the formula to find Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width?

The formula of Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width is expressed as Surface to Volume Ratio of Cuboid = (2*((sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid*Height of Cuboid). Here is an example- 0.743461 = (2*((sqrt(16^2-6^2-8^2)*8)+(8*6)+(sqrt(16^2-6^2-8^2)*6)))/(sqrt(16^2-6^2-8^2)*6*8).

How to calculate Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width?

With Space Diagonal of Cuboid (d_Space), Width of Cuboid (w) & Height of Cuboid (h) we can find Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width using the formula - Surface to Volume Ratio of Cuboid = (2*((sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Height of Cuboid)+(Height of Cuboid*Width of Cuboid)+(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid)))/(sqrt(Space Diagonal of Cuboid^2-Width of Cuboid^2-Height of Cuboid^2)*Width of Cuboid*Height of Cuboid). This formula also uses Square Root (sqrt) function(s).

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 Space Diagonal, Height, and Width be negative?

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

Which unit is used to measure Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width?

Surface to Volume Ratio of Cuboid given Space Diagonal, Height, 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 Space Diagonal, Height, and Width can be measured.

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

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

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

Other Formulas to find Surface to Volume Ratio of Cuboid

How to Evaluate Surface to Volume Ratio of Cuboid given Space Diagonal, Height, and Width?

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

Variable Name

GoSurface to Volume Ratio of Cuboid Formula

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