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Height of Prismatoid Formula

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

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

h - Height of Prismatoid?V - Volume 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?

Height of Prismatoid Example

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

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

Here is how the Height of Prismatoid equation looks like.

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

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

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

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Height of Prismatoid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

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

Next Step Prepare to Evaluate

∴

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

LAST Step Evaluate

∴

h = 12m

Height of Prismatoid Formula Elements

Variables

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

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

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 Volume of Prismatoid

V = \frac{h}{6} \cdot (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 Height of Prismatoid?

Height of Prismatoid evaluator uses Height of Prismatoid = (6*Volume of Prismatoid)/(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid) to evaluate the Height of Prismatoid, Height of Prismatoid formula is defined as the vertical distance between the base and cover parallel polygonal faces of the Prismatoid. Height of Prismatoid is denoted by h symbol.

How to evaluate Height of Prismatoid using this online evaluator? To use this online evaluator for Height of Prismatoid, enter Volume of Prismatoid (V), 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 Height of Prismatoid

What is the formula to find Height of Prismatoid?

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

How to calculate Height of Prismatoid?

With Volume of Prismatoid (V), 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 Height of Prismatoid using the formula - Height of Prismatoid = (6*Volume of Prismatoid)/(Base Face Area of Prismatoid+(4*Cross Section Area of Prismatoid)+Cover Face Area of Prismatoid).

Can the Height of Prismatoid be negative?

No, the Height of Prismatoid, measured in Length cannot be negative.

Which unit is used to measure Height of Prismatoid?

Height of Prismatoid is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Height of Prismatoid can be measured.

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Height of Prismatoid Formula

Height of Prismatoid Example

Height of Prismatoid Solution

Height of Prismatoid Formula Elements

Other formulas in Prismatoid category

How to Evaluate Height of Prismatoid?

FAQs on Height of Prismatoid

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