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Volume of Cuboid given Space Diagonal, Length and Width Formula

GoVolume of Cuboid Formula

GoVolume of Cuboid given Lateral Surface Area, Width and Height Formula

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Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cuboid. Check FAQs

V = l \cdot w \cdot \sqrt{{d Space}^{2} - l^{2} - w^{2}}

V - Volume of Cuboid?l - Length of Cuboid?w - Width of Cuboid?d_Space - Space Diagonal of Cuboid?

Volume of Cuboid given Space Diagonal, Length and Width Example

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Here is how the Volume of Cuboid given Space Diagonal, Length and Width equation looks like with Values.

Here is how the Volume of Cuboid given Space Diagonal, Length and Width equation looks like with Units.

Here is how the Volume of Cuboid given Space Diagonal, Length and Width equation looks like.

627.6814 = 12 \cdot 6 \cdot \sqrt{16^{2} - 12^{2} - 6^{2}}

627.6814m³ = 12m \cdot 6m \cdot \sqrt{{16m}^{2} - {12m}^{2} - {6m}^{2}}

627.6814 = 12 \cdot 6 \cdot \sqrt{16^{2} - 12^{2} - 6^{2}}

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Volume of Cuboid given Space Diagonal, Length and Width Solution

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

FIRST Step Consider the formula

V = l \cdot w \cdot \sqrt{{d Space}^{2} - l^{2} - w^{2}}

Next Step Substitute values of Variables

∴

V = 12m \cdot 6m \cdot \sqrt{{16m}^{2} - {12m}^{2} - {6m}^{2}}

Next Step Prepare to Evaluate

∴

V = 12 \cdot 6 \cdot \sqrt{16^{2} - 12^{2} - 6^{2}}

Next Step Evaluate

∴

V = 627.681447869857m³

LAST Step Rounding Answer

∴

V = 627.6814m³

Volume of Cuboid given Space Diagonal, Length and Width Formula Elements

Variables

Functions

Volume of Cuboid

Volume of Cuboid is the total quantity of three dimensional space enclosed by the surface of a Cuboid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Cuboid

Length of Cuboid

The Length of Cuboid is the measure of any one of the pair of parallel edges of base which are longer than the remaining pair of parallel edges of the Cuboid.

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length 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

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

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 Cuboid

Go Volume of Cuboid

V = l \cdot w \cdot h

Go Volume of Cuboid given Lateral Surface Area, Width and Height

V = (\frac{LSA}{2 \cdot h} - w) \cdot w \cdot h

Go Volume of Cuboid given Total Surface Area, Width and Height

V = \frac{\frac{TSA}{2} - (h \cdot w)}{h + w} \cdot w \cdot h

How to Evaluate Volume of Cuboid given Space Diagonal, Length and Width?

Volume of Cuboid given Space Diagonal, Length and Width evaluator uses Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2) to evaluate the Volume of Cuboid, The Volume of Cuboid given Space Diagonal, Length and Width formula is defined as the total quantity of three-dimensional space enclosed by the surface of a Cuboid, and is calculated using the space diagonal, length, and width of the Cuboid. Volume of Cuboid is denoted by V symbol.

How to evaluate Volume of Cuboid given Space Diagonal, Length and Width using this online evaluator? To use this online evaluator for Volume of Cuboid given Space Diagonal, Length and Width, enter Length of Cuboid (l), Width of Cuboid (w) & Space Diagonal of Cuboid (d_Space) and hit the calculate button.

FAQs on Volume of Cuboid given Space Diagonal, Length and Width

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

The formula of Volume of Cuboid given Space Diagonal, Length and Width is expressed as Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2). Here is an example- 627.6814 = 12*6*sqrt(16^2-12^2-6^2).

How to calculate Volume of Cuboid given Space Diagonal, Length and Width?

With Length of Cuboid (l), Width of Cuboid (w) & Space Diagonal of Cuboid (d_Space) we can find Volume of Cuboid given Space Diagonal, Length and Width using the formula - Volume of Cuboid = Length of Cuboid*Width of Cuboid*sqrt(Space Diagonal of Cuboid^2-Length of Cuboid^2-Width of Cuboid^2). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Volume of Cuboid?

Here are the different ways to Calculate Volume of Cuboid-

Volume of Cuboid=Length of Cuboid*Width of Cuboid*Height of Cuboid
Volume of Cuboid=(Lateral Surface Area of Cuboid/(2*Height of Cuboid)-Width of Cuboid)*Width of Cuboid*Height of Cuboid
Volume of Cuboid=(Total Surface Area of Cuboid/2-(Height of Cuboid*Width of Cuboid))/(Height of Cuboid+Width of Cuboid)*Width of Cuboid*Height of Cuboid

Can the Volume of Cuboid given Space Diagonal, Length and Width be negative?

No, the Volume of Cuboid given Space Diagonal, Length and Width, measured in Volume cannot be negative.

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

Volume of Cuboid given Space Diagonal, Length and Width 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 Cuboid given Space Diagonal, Length and Width can be measured.

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Volume of Cuboid given Space Diagonal, Length and Width Formula

​GoVolume of Cuboid Formula

​GoVolume of Cuboid given Lateral Surface Area, Width and Height Formula

Volume of Cuboid given Space Diagonal, Length and Width Example

Volume of Cuboid given Space Diagonal, Length and Width Solution

Volume of Cuboid given Space Diagonal, Length and Width Formula Elements

Other Formulas to find Volume of Cuboid

How to Evaluate Volume of Cuboid given Space Diagonal, Length and Width?

FAQs on Volume of Cuboid given Space Diagonal, Length and Width

Variable Name

GoVolume of Cuboid Formula

GoVolume of Cuboid given Lateral Surface Area, Width and Height Formula