FormulaDen.com

Physics Chemistry Math Chemical Engineering Civil Electrical Electronics Electronics and Instrumentation Materials Science Mechanical Production Engineering Financial Health

Lateral Surface Area of Truncated Pyramid Formula

Fx Copy

LaTeX Copy

Lateral Surface Area of Truncated Pyramid is the total two-dimensional space covered by the lateral faces of the Truncated Pyramid. Check FAQs

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}}

LSA_Truncated - Lateral Surface Area of Truncated Pyramid?A_{Base(Truncated)} - Base Area of Truncated Pyramid?A_Top - Top Area of Truncated Pyramid?h_Truncated - Height of Truncated Pyramid?

Lateral Surface Area of Truncated Pyramid Example

With values

With units

Only example

Here is how the Lateral Surface Area of Truncated Pyramid equation looks like with Values.

Here is how the Lateral Surface Area of Truncated Pyramid equation looks like with Units.

Here is how the Lateral Surface Area of Truncated Pyramid equation looks like.

456.2072 = 2 \cdot (\sqrt{100} + \sqrt{25}) \cdot \sqrt{{(\frac{\sqrt{100} - \sqrt{25}}{2})}^{2} + 15^{2}}

456.2072m² = 2 \cdot (\sqrt{100m²} + \sqrt{25m²}) \cdot \sqrt{{(\frac{\sqrt{100m²} - \sqrt{25m²}}{2})}^{2} + {15m}^{2}}

456.2072 = 2 \cdot (\sqrt{100} + \sqrt{25}) \cdot \sqrt{{(\frac{\sqrt{100} - \sqrt{25}}{2})}^{2} + 15^{2}}

Tip: Use pencil ( Pencil

) icon above to edit Input Values and Units.

Calculate

Recalculate

Solution

Copy

Reset

You are here -

Home » Category

Math » Category

Geometry » Category

3D Geometry » fx Lateral Surface Area of Truncated Pyramid

Lateral Surface Area of Truncated Pyramid Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Truncated Pyramid?

FIRST Step Consider the formula

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}}

Next Step Substitute values of Variables

∴

LSA Truncated = 2 \cdot (\sqrt{100m²} + \sqrt{25m²}) \cdot \sqrt{{(\frac{\sqrt{100m²} - \sqrt{25m²}}{2})}^{2} + {15m}^{2}}

Next Step Prepare to Evaluate

∴

LSA Truncated = 2 \cdot (\sqrt{100} + \sqrt{25}) \cdot \sqrt{{(\frac{\sqrt{100} - \sqrt{25}}{2})}^{2} + 15^{2}}

Next Step Evaluate

∴

LSA Truncated = 456.207189772367m²

LAST Step Rounding Answer

∴

LSA Truncated = 456.2072m²

Lateral Surface Area of Truncated Pyramid Formula Elements

Variables

Functions

Lateral Surface Area of Truncated Pyramid

Lateral Surface Area of Truncated Pyramid is the total two-dimensional space covered by the lateral faces of the Truncated Pyramid.

Symbol: LSA_Truncated

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area 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

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

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 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)

How to Evaluate Lateral Surface Area of Truncated Pyramid?

Lateral Surface Area of Truncated Pyramid evaluator uses Lateral Surface Area of Truncated Pyramid = 2*(sqrt(Base Area of Truncated Pyramid)+sqrt(Top Area of Truncated Pyramid))*sqrt(((sqrt(Base Area of Truncated Pyramid)-sqrt(Top Area of Truncated Pyramid))/2)^2+Height of Truncated Pyramid^2) to evaluate the Lateral Surface Area of Truncated Pyramid, The Lateral Surface Area of Truncated Pyramid formula is defined as the two-dimensional space covered by all the lateral faces of the Truncated Pyramid. Lateral Surface Area of Truncated Pyramid is denoted by LSA_Truncated symbol.

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

FAQs on Lateral Surface Area of Truncated Pyramid

What is the formula to find Lateral Surface Area of Truncated Pyramid?

The formula of Lateral Surface Area of Truncated Pyramid is expressed as Lateral Surface Area of Truncated Pyramid = 2*(sqrt(Base Area of Truncated Pyramid)+sqrt(Top Area of Truncated Pyramid))*sqrt(((sqrt(Base Area of Truncated Pyramid)-sqrt(Top Area of Truncated Pyramid))/2)^2+Height of Truncated Pyramid^2). Here is an example- 456.2072 = 2*(sqrt(100)+sqrt(25))*sqrt(((sqrt(100)-sqrt(25))/2)^2+15^2).

How to calculate Lateral Surface Area of Truncated Pyramid?

With Base Area of Truncated Pyramid (A_{Base(Truncated)}), Top Area of Truncated Pyramid (A_Top) & Height of Truncated Pyramid (h_Truncated) we can find Lateral Surface Area of Truncated Pyramid using the formula - Lateral Surface Area of Truncated Pyramid = 2*(sqrt(Base Area of Truncated Pyramid)+sqrt(Top Area of Truncated Pyramid))*sqrt(((sqrt(Base Area of Truncated Pyramid)-sqrt(Top Area of Truncated Pyramid))/2)^2+Height of Truncated Pyramid^2). This formula also uses Square Root (sqrt) function(s).

Can the Lateral Surface Area of Truncated Pyramid be negative?

No, the Lateral Surface Area of Truncated Pyramid, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Truncated Pyramid?

Lateral Surface Area of Truncated Pyramid is usually measured using the Square Meter[m²] for Area. Square Kilometer[m²], Square Centimeter[m²], Square Millimeter[m²] are the few other units in which Lateral Surface Area of Truncated Pyramid can be measured.

Let Others Know

✖

Facebook

Twitter

Copied!

: Value
: Unit

Lateral Surface Area of Truncated Pyramid Formula

Lateral Surface Area of Truncated Pyramid Example

Lateral Surface Area of Truncated Pyramid Solution

Lateral Surface Area of Truncated Pyramid Formula Elements

Other formulas in Truncated Pyramid category

How to Evaluate Lateral Surface Area of Truncated Pyramid?

FAQs on Lateral Surface Area of Truncated Pyramid

Variable Name