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Volume of Truncated Cube given Cubic Edge Length Formula

GoVolume of Truncated Cube Formula

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Volume of Truncated Cube is the total quantity of three dimensional space enclosed by the surface of the Truncated Cube. Check FAQs

V = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {(\frac{l e(Cube)}{1 + \sqrt{2}})}^{3}

V - Volume of Truncated Cube?l_e(Cube) - Cubic Edge Length of Truncated Cube?

Volume of Truncated Cube given Cubic Edge Length Example

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

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

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

13360.8727 = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {(\frac{24}{1 + \sqrt{2}})}^{3}

13360.8727m³ = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {(\frac{24m}{1 + \sqrt{2}})}^{3}

13360.8727 = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {(\frac{24}{1 + \sqrt{2}})}^{3}

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Volume of Truncated Cube given Cubic Edge Length Solution

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

FIRST Step Consider the formula

V = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {(\frac{l e(Cube)}{1 + \sqrt{2}})}^{3}

Next Step Substitute values of Variables

∴

V = \frac{21 + (14 \cdot \sqrt{2})}{3} \cdot {(\frac{24m}{1 + \sqrt{2}})}^{3}

Next Step Prepare to Evaluate

∴

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

Next Step Evaluate

∴

V = 13360.8726679066m³

LAST Step Rounding Answer

∴

V = 13360.8727m³

Volume of Truncated Cube given Cubic Edge Length Formula Elements

Variables

Functions

Volume of Truncated Cube

Volume of Truncated Cube is the total quantity of three dimensional space enclosed by the surface of the Truncated Cube.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 Volume of Truncated Cube

Go Volume of Truncated Cube

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

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 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

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}))}

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

Volume of Truncated Cube given Cubic Edge Length evaluator uses Volume of Truncated Cube = (21+(14*sqrt(2)))/3*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^3 to evaluate the Volume of Truncated Cube, The Volume of Truncated Cube given Cubic Edge Length formula is defined as the total quantity of three dimensional space enclosed by the surface of the Truncated Cube, calculated using cubic edge length of the Truncated cube. Volume of Truncated Cube is denoted by V symbol.

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

FAQs on Volume of Truncated Cube given Cubic Edge Length

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

The formula of Volume of Truncated Cube given Cubic Edge Length is expressed as Volume of Truncated Cube = (21+(14*sqrt(2)))/3*(Cubic Edge Length of Truncated Cube/(1+sqrt(2)))^3. Here is an example- 13360.87 = (21+(14*sqrt(2)))/3*(24/(1+sqrt(2)))^3.

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

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

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

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

Volume of Truncated Cube=(21+(14*sqrt(2)))/3*Edge Length of Truncated Cube^3

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

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

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

Volume of Truncated Cube given Cubic Edge Length is usually measured using the Cubic Meter[m³] for Volume. Cubic Centimeter[m³], Cubic Millimeter[m³], Liter[m³] are the few other units in which Volume of Truncated Cube given Cubic Edge Length can be measured.

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