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Surface to Volume Ratio of Truncated Cube given Cubic Edge Length Formula

GoSurface to Volume Ratio of Truncated Cube Formula

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Surface to Volume Ratio of Truncated Cube is the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube. Check FAQs

R A/V = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{l e(Cube)}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

R_A/V - Surface to Volume Ratio of Truncated Cube?l_e(Cube) - Cubic Edge Length of Truncated Cube?

Surface to Volume Ratio of Truncated Cube given Cubic Edge Length Example

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Here is how the Surface to Volume Ratio of Truncated Cube given Cubic Edge Length equation looks like with Values.

Here is how the Surface to Volume Ratio of Truncated Cube given Cubic Edge Length equation looks like with Units.

Here is how the Surface to Volume Ratio of Truncated Cube given Cubic Edge Length equation looks like.

0.2399 = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{24}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

0.2399m⁻¹ = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{24m}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

0.2399 = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{24}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

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Surface to Volume Ratio of Truncated Cube given Cubic Edge Length Solution

Follow our step by step solution on how to calculate Surface to Volume Ratio of Truncated Cube given Cubic Edge Length?

FIRST Step Consider the formula

R A/V = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{l e(Cube)}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

Next Step Substitute values of Variables

∴

R A/V = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{24m}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

Next Step Prepare to Evaluate

∴

R A/V = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{\frac{24}{1 + \sqrt{2}} \cdot (21 + (14 \cdot \sqrt{2}))}

Next Step Evaluate

∴

R A/V = 0.239908533400511m⁻¹

LAST Step Rounding Answer

∴

R A/V = 0.2399m⁻¹

Surface to Volume Ratio of Truncated Cube given Cubic Edge Length Formula Elements

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Functions

Surface to Volume Ratio of Truncated Cube

Surface to Volume Ratio of Truncated Cube is the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube.

Symbol: R_A/V

Measurement: Reciprocal LengthUnit: m⁻¹

Note: Value should be greater than 0.

Formulas to find Surface to Volume Ratio of Truncated Cube

Cubic Edge Length of Truncated Cube

Cubic Edge Length of Truncated Cube is the length of any edge of the larger cube from which the corners are cut to form the Truncated Cube.

Symbol: l_e(Cube)

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Cubic Edge Length of Truncated Cube

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 Truncated Cube

Go Surface to Volume Ratio of Truncated Cube

R A/V = \frac{6 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3})}{l e \cdot (21 + (14 \cdot \sqrt{2}))}

Other formulas in Truncated Cube category

Go Total Surface Area of Truncated Cube

TSA = 2 \cdot (6 + (6 \cdot \sqrt{2}) + \sqrt{3}) \cdot {l e}^{2}

Go Volume of Truncated Cube

V = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {l e}^{3}

Go Circumsphere Radius of Truncated Cube

r c = \frac{\sqrt{7 + (4 \cdot \sqrt{2})}}{2} \cdot l e

Go Midsphere Radius of Truncated Cube

r m = \frac{2 + \sqrt{2}}{2} \cdot l e

How to Evaluate Surface to Volume Ratio of Truncated Cube given Cubic Edge Length?

Surface to Volume Ratio of Truncated Cube given Cubic Edge Length evaluator uses Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Cubic Edge Length of Truncated Cube/(1+sqrt(2))*(21+(14*sqrt(2)))) to evaluate the Surface to Volume Ratio of Truncated Cube, The Surface to Volume Ratio of Truncated Cube given Cubic Edge Length formula is defin as the numerical ratio of the total surface area of a Truncated Cube to the volume of the Truncated Cube, calculated using its cubic edge length. Surface to Volume Ratio of Truncated Cube is denoted by R_A/V symbol.

How to evaluate Surface to Volume Ratio of Truncated Cube given Cubic Edge Length using this online evaluator? To use this online evaluator for Surface to Volume Ratio of Truncated Cube given Cubic Edge Length, enter Cubic Edge Length of Truncated Cube (l_e(Cube)) and hit the calculate button.

FAQs on Surface to Volume Ratio of Truncated Cube given Cubic Edge Length

What is the formula to find Surface to Volume Ratio of Truncated Cube given Cubic Edge Length?

The formula of Surface to Volume Ratio of Truncated Cube given Cubic Edge Length is expressed as Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Cubic Edge Length of Truncated Cube/(1+sqrt(2))*(21+(14*sqrt(2)))). Here is an example- 0.239909 = (6*(6+(6*sqrt(2))+sqrt(3)))/(24/(1+sqrt(2))*(21+(14*sqrt(2)))).

How to calculate Surface to Volume Ratio of Truncated Cube given Cubic Edge Length?

With Cubic Edge Length of Truncated Cube (l_e(Cube)) we can find Surface to Volume Ratio of Truncated Cube given Cubic Edge Length using the formula - Surface to Volume Ratio of Truncated Cube = (6*(6+(6*sqrt(2))+sqrt(3)))/(Cubic Edge Length of Truncated Cube/(1+sqrt(2))*(21+(14*sqrt(2)))). This formula also uses Square Root (sqrt) function(s).

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

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

Surface to Volume Ratio of Truncated Cube=(6*(6+(6*sqrt(2))+sqrt(3)))/(Edge Length of Truncated Cube*(21+(14*sqrt(2))))

Can the Surface to Volume Ratio of Truncated Cube given Cubic Edge Length be negative?

No, the Surface to Volume Ratio of Truncated Cube given Cubic Edge Length, measured in Reciprocal Length cannot be negative.

Which unit is used to measure Surface to Volume Ratio of Truncated Cube given Cubic Edge Length?

Surface to Volume Ratio of Truncated Cube given Cubic Edge 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 Truncated Cube given Cubic Edge Length can be measured.

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