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Volume of Truncated Pyramid Formula

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

V Truncated = \frac{1}{3} \cdot h Truncated \cdot (A Base(Truncated) + \sqrt{A Top \cdot A Base(Truncated)} + A Top)

V_Truncated - Volume of Truncated Pyramid?h_Truncated - Height of Truncated Pyramid?A_{Base(Truncated)} - Base Area of Truncated Pyramid?A_Top - Top Area of Truncated Pyramid?

Volume of Truncated Pyramid Example

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

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

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

875 = \frac{1}{3} \cdot 15 \cdot (100 + \sqrt{25 \cdot 100} + 25)

875m³ = \frac{1}{3} \cdot 15m \cdot (100m² + \sqrt{25m² \cdot 100m²} + 25m²)

875 = \frac{1}{3} \cdot 15 \cdot (100 + \sqrt{25 \cdot 100} + 25)

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Volume of Truncated Pyramid Solution

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

FIRST Step Consider the formula

V Truncated = \frac{1}{3} \cdot h Truncated \cdot (A Base(Truncated) + \sqrt{A Top \cdot A Base(Truncated)} + A Top)

Next Step Substitute values of Variables

∴

V Truncated = \frac{1}{3} \cdot 15m \cdot (100m² + \sqrt{25m² \cdot 100m²} + 25m²)

Next Step Prepare to Evaluate

∴

V Truncated = \frac{1}{3} \cdot 15 \cdot (100 + \sqrt{25 \cdot 100} + 25)

LAST Step Evaluate

∴

V Truncated = 875m³

Volume of Truncated Pyramid Formula Elements

Variables

Functions

Volume of Truncated Pyramid

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

Symbol: V_Truncated

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume of Truncated Pyramid

Height of Truncated Pyramid

Height of Truncated Pyramid is the perpendicular distance measured from the base to the top of the Truncated Pyramid.

Symbol: h_Truncated

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height of Truncated Pyramid

Base Area of Truncated Pyramid

Base Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the base surface of the Truncated Pyramid.

Symbol: A_{Base(Truncated)}

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Base Area of Truncated Pyramid

Top Area of Truncated Pyramid

Top Area of Truncated Pyramid is the total amount of two-dimensional space enclosed on the top surface of the Truncated Pyramid.

Symbol: A_Top

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Top Area of Truncated Pyramid

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 in Truncated Pyramid category

Go Height of Truncated Pyramid

h Truncated = \frac{3 \cdot V Truncated}{A Base(Truncated) + \sqrt{A Top \cdot A Base(Truncated)} + A Top}

Go Base Area of Truncated Pyramid

A Base(Truncated) = TSA Truncated - (LSA Truncated + A Top)

Go Top Area of Truncated Pyramid

A Top = TSA Truncated - (A Base(Truncated) + LSA Truncated)

Go Lateral Surface Area of Truncated Pyramid

LSA Truncated = 2 \cdot (\sqrt{A Base(Truncated)} + \sqrt{A Top}) \cdot \sqrt{{(\frac{\sqrt{A Base(Truncated)} - \sqrt{A Top}}{2})}^{2} + {h Truncated}^{2}}

How to Evaluate Volume of Truncated Pyramid?

Volume of Truncated Pyramid evaluator uses Volume of Truncated Pyramid = 1/3*Height of Truncated Pyramid*(Base Area of Truncated Pyramid+sqrt(Top Area of Truncated Pyramid*Base Area of Truncated Pyramid)+Top Area of Truncated Pyramid) to evaluate the Volume of Truncated Pyramid, Volume of Truncated Pyramid formula is defined as the total quantity of three-dimensional space enclosed by the surface of the Truncated Pyramid. Volume of Truncated Pyramid is denoted by V_Truncated symbol.

How to evaluate Volume of Truncated Pyramid using this online evaluator? To use this online evaluator for Volume of Truncated Pyramid, enter Height of Truncated Pyramid (h_Truncated), Base Area of Truncated Pyramid (A_{Base(Truncated)}) & Top Area of Truncated Pyramid (A_Top) and hit the calculate button.

FAQs on Volume of Truncated Pyramid

What is the formula to find Volume of Truncated Pyramid?

The formula of Volume of Truncated Pyramid is expressed as Volume of Truncated Pyramid = 1/3*Height of Truncated Pyramid*(Base Area of Truncated Pyramid+sqrt(Top Area of Truncated Pyramid*Base Area of Truncated Pyramid)+Top Area of Truncated Pyramid). Here is an example- 875 = 1/3*15*(100+sqrt(25*100)+25).

How to calculate Volume of Truncated Pyramid?

With Height of Truncated Pyramid (h_Truncated), Base Area of Truncated Pyramid (A_{Base(Truncated)}) & Top Area of Truncated Pyramid (A_Top) we can find Volume of Truncated Pyramid using the formula - Volume of Truncated Pyramid = 1/3*Height of Truncated Pyramid*(Base Area of Truncated Pyramid+sqrt(Top Area of Truncated Pyramid*Base Area of Truncated Pyramid)+Top Area of Truncated Pyramid). This formula also uses Square Root (sqrt) function(s).

Can the Volume of Truncated Pyramid be negative?

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

Which unit is used to measure Volume of Truncated Pyramid?

Volume of Truncated Pyramid 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 Pyramid can be measured.

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Volume of Truncated Pyramid Formula

Volume of Truncated Pyramid Example

Volume of Truncated Pyramid Solution

Volume of Truncated Pyramid Formula Elements

Other formulas in Truncated Pyramid category

How to Evaluate Volume of Truncated Pyramid?

FAQs on Volume of Truncated Pyramid

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