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Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Formula

GoLateral Surface Area of Square Pillar Formula

GoLateral Surface Area of Square Pillar given Total Surface Area Formula

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Lateral Surface Area of Square Pillar is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar. Check FAQs

LSA = 4 \cdot B Edges \cdot \sqrt{{d Space}^{2} - (2 \cdot {B Edges}^{2})}

LSA - Lateral Surface Area of Square Pillar?B_Edges - Base Edges of Square Pillar?d_Space - Space Diagonal of Square Pillar?

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Example

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Here is how the Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge equation looks like with Values.

Here is how the Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge equation looks like with Units.

Here is how the Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge equation looks like.

445.4211 = 4 \cdot 10 \cdot \sqrt{18^{2} - (2 \cdot 10^{2})}

445.4211m² = 4 \cdot 10m \cdot \sqrt{{18m}^{2} - (2 \cdot {10m}^{2})}

445.4211 = 4 \cdot 10 \cdot \sqrt{18^{2} - (2 \cdot 10^{2})}

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Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Solution

Follow our step by step solution on how to calculate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

FIRST Step Consider the formula

LSA = 4 \cdot B Edges \cdot \sqrt{{d Space}^{2} - (2 \cdot {B Edges}^{2})}

Next Step Substitute values of Variables

∴

LSA = 4 \cdot 10m \cdot \sqrt{{18m}^{2} - (2 \cdot {10m}^{2})}

Next Step Prepare to Evaluate

∴

LSA = 4 \cdot 10 \cdot \sqrt{18^{2} - (2 \cdot 10^{2})}

Next Step Evaluate

∴

LSA = 445.421149026402m²

LAST Step Rounding Answer

∴

LSA = 445.4211m²

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Formula Elements

Variables

Functions

Lateral Surface Area of Square Pillar

Lateral Surface Area of Square Pillar is the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar.

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Square Pillar

Base Edges of Square Pillar

Base Edges of Square Pillar are the sides of the same length that are joined to form the Square Pillar.

Symbol: B_Edges

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Base Edges of Square Pillar

Space Diagonal of Square Pillar

Space Diagonal of Square Pillar is a straight line connecting two vertices that are not on the same face of the Square Pillar.

Symbol: d_Space

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Space Diagonal of Square Pillar

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 to find Lateral Surface Area of Square Pillar

Go Lateral Surface Area of Square Pillar

LSA = 4 \cdot B Edges \cdot h

Go Lateral Surface Area of Square Pillar given Total Surface Area

LSA = TSA - (2 \cdot {B Edges}^{2})

Go Lateral Surface Area of Square Pillar given Volume

LSA = \frac{4 \cdot V}{B Edges}

Go Lateral Surface Area of Square Pillar given Space Diagonal and Height

LSA = 4 \cdot \sqrt{\frac{{d Space}^{2} - h^{2}}{2}} \cdot h

How to Evaluate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge evaluator uses Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)) to evaluate the Lateral Surface Area of Square Pillar, The Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Square Pillar, and calculated using the space diagonal and base edge of Square Pillar. Lateral Surface Area of Square Pillar is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge using this online evaluator? To use this online evaluator for Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge, enter Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space) and hit the calculate button.

FAQs on Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge

What is the formula to find Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

The formula of Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge is expressed as Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)). Here is an example- 445.4211 = 4*10*sqrt(18^2-(2*10^2)).

How to calculate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

With Base Edges of Square Pillar (B_Edges) & Space Diagonal of Square Pillar (d_Space) we can find Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge using the formula - Lateral Surface Area of Square Pillar = 4*Base Edges of Square Pillar*sqrt(Space Diagonal of Square Pillar^2-(2*Base Edges of Square Pillar^2)). This formula also uses Square Root (sqrt) function(s).

What are the other ways to Calculate Lateral Surface Area of Square Pillar?

Here are the different ways to Calculate Lateral Surface Area of Square Pillar-

Lateral Surface Area of Square Pillar=4*Base Edges of Square Pillar*Height of Square Pillar
Lateral Surface Area of Square Pillar=Total Surface Area of Square Pillar-(2*Base Edges of Square Pillar^2)
Lateral Surface Area of Square Pillar=(4*Volume of Square Pillar)/Base Edges of Square Pillar

Can the Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge be negative?

No, the Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge, measured in Area cannot be negative.

Which unit is used to measure Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge 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 Square Pillar given Space Diagonal and Base Edge can be measured.

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Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Formula

​GoLateral Surface Area of Square Pillar Formula

​GoLateral Surface Area of Square Pillar given Total Surface Area Formula

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Example

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Solution

Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge Formula Elements

Other Formulas to find Lateral Surface Area of Square Pillar

How to Evaluate Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge?

FAQs on Lateral Surface Area of Square Pillar given Space Diagonal and Base Edge

Variable Name

GoLateral Surface Area of Square Pillar Formula

GoLateral Surface Area of Square Pillar given Total Surface Area Formula