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Height of Truncated Pyramid Formula

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

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

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

Height of Truncated Pyramid Example

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

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

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

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

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

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

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Height of Truncated Pyramid Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

h Truncated = \frac{3 \cdot 875m³}{100m² + \sqrt{25m² \cdot 100m²} + 25m²}

Next Step Prepare to Evaluate

∴

h Truncated = \frac{3 \cdot 875}{100 + \sqrt{25 \cdot 100} + 25}

LAST Step Evaluate

∴

h Truncated = 15m

Height of Truncated Pyramid Formula Elements

Variables

Functions

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

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

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 Volume of Truncated Pyramid

V Truncated = \frac{1}{3} \cdot h Truncated \cdot (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 Height of Truncated Pyramid?

Height of Truncated Pyramid evaluator uses Height of Truncated Pyramid = (3*Volume 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 Height of Truncated Pyramid, The Height of Truncated Pyramid formula is defined as the perpendicular distance measured from the base to the top of the Truncated Pyramid. Height of Truncated Pyramid is denoted by h_Truncated symbol.

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

FAQs on Height of Truncated Pyramid

What is the formula to find Height of Truncated Pyramid?

The formula of Height of Truncated Pyramid is expressed as Height of Truncated Pyramid = (3*Volume 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- 15 = (3*875)/(100+sqrt(25*100)+25).

How to calculate Height of Truncated Pyramid?

With Volume of Truncated Pyramid (V_Truncated), Base Area of Truncated Pyramid (A_{Base(Truncated)}) & Top Area of Truncated Pyramid (A_Top) we can find Height of Truncated Pyramid using the formula - Height of Truncated Pyramid = (3*Volume 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 Height of Truncated Pyramid be negative?

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

Which unit is used to measure Height of Truncated Pyramid?

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

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Height of Truncated Pyramid Formula

Height of Truncated Pyramid Example

Height of Truncated Pyramid Solution

Height of Truncated Pyramid Formula Elements

Other formulas in Truncated Pyramid category

How to Evaluate Height of Truncated Pyramid?

FAQs on Height of Truncated Pyramid

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