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Volume of Prismatoid Formula

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Volume of Prismatoid is the amount of three-dimensional space that is enclosed by a Prismatoid. Check FAQs

V = \frac{h}{6} \cdot (A Base Face + (4 \cdot A Cross Section) + A Cover Face)

V - Volume of Prismatoid?h - Height of Prismatoid?A_{Base Face} - Base Face Area of Prismatoid?A_{Cross Section} - Cross Section Area of Prismatoid?A_{Cover Face} - Cover Face Area of Prismatoid?

Volume of Prismatoid Example

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

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

Here is how the Volume of Prismatoid equation looks like.

250 = \frac{12}{6} \cdot (20 + (4 \cdot 25) + 5)

250m³ = \frac{12m}{6} \cdot (20m² + (4 \cdot 25m²) + 5m²)

250 = \frac{12}{6} \cdot (20 + (4 \cdot 25) + 5)

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Volume of Prismatoid Solution

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

FIRST Step Consider the formula

V = \frac{h}{6} \cdot (A Base Face + (4 \cdot A Cross Section) + A Cover Face)

Next Step Substitute values of Variables

∴

V = \frac{12m}{6} \cdot (20m² + (4 \cdot 25m²) + 5m²)

Next Step Prepare to Evaluate

∴

V = \frac{12}{6} \cdot (20 + (4 \cdot 25) + 5)

LAST Step Evaluate

∴

V = 250m³

Volume of Prismatoid Formula Elements

Variables

Volume of Prismatoid

Volume of Prismatoid is the amount of three-dimensional space that is enclosed by a Prismatoid.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Prismatoid

Height of Prismatoid

Height of Prismatoid is defined as the vertical distance between the base and cover parallel polygonal faces of the Prismatoid.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Prismatoid

Base Face Area of Prismatoid

Base Face Area of Prismatoid is the quantity of two dimensional space enclosed on the bottom face out of the two parallel polygonal faces of Prismatoid.

Symbol: A_{Base Face}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Face Area of Prismatoid

Cross Section Area of Prismatoid

Cross Section Area of Prismatoid is the quantity of two dimensional space enclosed on the surface of cross section parallel to the base and cover faces of the Prismatoid.

Symbol: A_{Cross Section}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cross Section Area of Prismatoid

Cover Face Area of Prismatoid

Cover Face Area of Prismatoid is the quantity of two dimensional space enclosed on the top face out of the two parallel polygonal faces of Prismatoid.

Symbol: A_{Cover Face}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Cover Face Area of Prismatoid

Other formulas in Prismatoid category

Go Height of Prismatoid

h = \frac{6 \cdot V}{A Base Face + (4 \cdot A Cross Section) + A Cover Face}

Go Base Face Area of Prismatoid

A Base Face = \frac{6 \cdot V}{h} - (4 \cdot A Cross Section) + A Cover Face

Go Cross Section Area of Prismatoid

A Cross Section = \frac{\frac{6 \cdot V}{h} - A Base Face + A Cover Face}{4}

Go Cover Face Area of Prismatoid

A Cover Face = \frac{6 \cdot V}{h} - (4 \cdot A Cross Section) + A Base Face

How to Evaluate Volume of Prismatoid?

Volume of Prismatoid evaluator uses Volume of Prismatoid = Height of Prismatoid/6*(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid) to evaluate the Volume of Prismatoid, Volume of Prismatoid formula is defined as the amount of three-dimensional space that is enclosed by a Prismatoid. Volume of Prismatoid is denoted by V symbol.

How to evaluate Volume of Prismatoid using this online evaluator? To use this online evaluator for Volume of Prismatoid, enter Height of Prismatoid (h), Base Face Area of Prismatoid (A_{Base Face}), Cross Section Area of Prismatoid (A_{Cross Section}) & Cover Face Area of Prismatoid (A_{Cover Face}) and hit the calculate button.

FAQs on Volume of Prismatoid

What is the formula to find Volume of Prismatoid?

The formula of Volume of Prismatoid is expressed as Volume of Prismatoid = Height of Prismatoid/6*(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid). Here is an example- 250 = 12/6*(20+(4*25)+5).

How to calculate Volume of Prismatoid?

With Height of Prismatoid (h), Base Face Area of Prismatoid (A_{Base Face}), Cross Section Area of Prismatoid (A_{Cross Section}) & Cover Face Area of Prismatoid (A_{Cover Face}) we can find Volume of Prismatoid using the formula - Volume of Prismatoid = Height of Prismatoid/6*(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid).

Can the Volume of Prismatoid be negative?

No, the Volume of Prismatoid, measured in Volume cannot be negative.

Which unit is used to measure Volume of Prismatoid?

Volume of Prismatoid 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 Prismatoid can be measured.

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Volume of Prismatoid Formula

Volume of Prismatoid Example

Volume of Prismatoid Solution

Volume of Prismatoid Formula Elements

Other formulas in Prismatoid category

How to Evaluate Volume of Prismatoid?

FAQs on Volume of Prismatoid

Variable Name