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Volume of Truncated Cuboid Formula

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

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

V - Volume of Truncated Cuboid?l - Length of Truncated Cuboid?h - Height of Truncated Cuboid?w - Width of Truncated Cuboid?h_Short - Shortened Height of Truncated Cuboid?w_Short - Shortened Width of Truncated Cuboid?

Volume of Truncated Cuboid Example

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Here is how the Volume of Truncated Cuboid equation looks like with Values.

Here is how the Volume of Truncated Cuboid equation looks like with Units.

Here is how the Volume of Truncated Cuboid equation looks like.

3180 = (20 \cdot 15 \cdot 12) - ((15 - 8) \cdot (12 - 6) \cdot \frac{20}{2})

3180m³ = (20m \cdot 15m \cdot 12m) - ((15m - 8m) \cdot (12m - 6m) \cdot \frac{20m}{2})

3180 = (20 \cdot 15 \cdot 12) - ((15 - 8) \cdot (12 - 6) \cdot \frac{20}{2})

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Volume of Truncated Cuboid Solution

Follow our step by step solution on how to calculate Volume of Truncated Cuboid?

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

V = (20m \cdot 15m \cdot 12m) - ((15m - 8m) \cdot (12m - 6m) \cdot \frac{20m}{2})

Next Step Prepare to Evaluate

∴

V = (20 \cdot 15 \cdot 12) - ((15 - 8) \cdot (12 - 6) \cdot \frac{20}{2})

LAST Step Evaluate

∴

V = 3180m³

Volume of Truncated Cuboid Formula Elements

Variables

Volume of Truncated Cuboid

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

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Cuboid

Length of Truncated Cuboid

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

Symbol: l

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Length of Truncated Cuboid

Height of Truncated Cuboid

The Height of Truncated Cuboid is the vertical distance measured from base to the top of Truncated Cuboid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Truncated Cuboid

Width of Truncated Cuboid

The Width of Truncated Cuboid is any one of the pair of parallel edges of base which are smaller than the remaining pair of parallel edges of Truncated Cuboid.

Symbol: w

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Width of Truncated Cuboid

Shortened Height of Truncated Cuboid

The Shortened Height of Truncated Cuboid is the distance of the shortened part parallel to the height of Truncated Cuboid.

Symbol: h_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shortened Height of Truncated Cuboid

Shortened Width of Truncated Cuboid

The Shortened Width of Truncated Cuboid is the distance of the shortened part parallel to the width of Truncated Cuboid.

Symbol: w_Short

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Shortened Width of Truncated Cuboid

Other formulas in Truncated Cuboid category

Go Inclined Edge of Truncated Cuboid

l e(Inclined) = \sqrt{{(h - h Short)}^{2} + {(w - w Short)}^{2}}

Go Total Surface Area of Truncated Cuboid

TSA = l \cdot (h + w + h Short + l e(Inclined) + w Short) + (2 \cdot h \cdot w) - ((h - h Short) \cdot (w - w Short))

How to Evaluate Volume of Truncated Cuboid?

Volume of Truncated Cuboid evaluator uses Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2) to evaluate the Volume of Truncated Cuboid, The Volume of Truncated Cuboid formula is defined as the total quantity of three dimensional space enclosed by the surface of a Truncated Cuboid. Volume of Truncated Cuboid is denoted by V symbol.

How to evaluate Volume of Truncated Cuboid using this online evaluator? To use this online evaluator for Volume of Truncated Cuboid, enter Length of Truncated Cuboid (l), Height of Truncated Cuboid (h), Width of Truncated Cuboid (w), Shortened Height of Truncated Cuboid (h_Short) & Shortened Width of Truncated Cuboid (w_Short) and hit the calculate button.

FAQs on Volume of Truncated Cuboid

What is the formula to find Volume of Truncated Cuboid?

The formula of Volume of Truncated Cuboid is expressed as Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2). Here is an example- 3180 = (20*15*12)-((15-8)*(12-6)*20/2).

How to calculate Volume of Truncated Cuboid?

With Length of Truncated Cuboid (l), Height of Truncated Cuboid (h), Width of Truncated Cuboid (w), Shortened Height of Truncated Cuboid (h_Short) & Shortened Width of Truncated Cuboid (w_Short) we can find Volume of Truncated Cuboid using the formula - Volume of Truncated Cuboid = (Length of Truncated Cuboid*Height of Truncated Cuboid*Width of Truncated Cuboid)-((Height of Truncated Cuboid-Shortened Height of Truncated Cuboid)*(Width of Truncated Cuboid-Shortened Width of Truncated Cuboid)*Length of Truncated Cuboid/2).

Can the Volume of Truncated Cuboid be negative?

No, the Volume of Truncated Cuboid, measured in Volume cannot be negative.

Which unit is used to measure Volume of Truncated Cuboid?

Volume of Truncated Cuboid 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 Cuboid can be measured.

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Volume of Truncated Cuboid Formula

Volume of Truncated Cuboid Example

Volume of Truncated Cuboid Solution

Volume of Truncated Cuboid Formula Elements

Other formulas in Truncated Cuboid category

How to Evaluate Volume of Truncated Cuboid?

FAQs on Volume of Truncated Cuboid

Variable Name