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Lateral Surface Area of Square Pillar given Space Diagonal and Height 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 \sqrt{\frac{{d Space}^{2} - h^{2}}{2}} \cdot h

LSA - Lateral Surface Area of Square Pillar?d_Space - Space Diagonal of Square Pillar?h - Height of Square Pillar?

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

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

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

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

455.368 = 4 \cdot \sqrt{\frac{18^{2} - 12^{2}}{2}} \cdot 12

455.368m² = 4 \cdot \sqrt{\frac{{18m}^{2} - {12m}^{2}}{2}} \cdot 12m

455.368 = 4 \cdot \sqrt{\frac{18^{2} - 12^{2}}{2}} \cdot 12

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

LSA = 4 \cdot \sqrt{\frac{{18m}^{2} - {12m}^{2}}{2}} \cdot 12m

Next Step Prepare to Evaluate

∴

LSA = 4 \cdot \sqrt{\frac{18^{2} - 12^{2}}{2}} \cdot 12

Next Step Evaluate

∴

LSA = 455.367983064247m²

LAST Step Rounding Answer

∴

LSA = 455.368m²

Lateral Surface Area of Square Pillar given Space Diagonal and Height 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

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

Height of Square Pillar

Height of Square Pillar is the distance between the lowest and highest points of the Square Pillar.

Symbol: h

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Height 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 Base Edge

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

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

Lateral Surface Area of Square Pillar given Space Diagonal and Height evaluator uses Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar to evaluate the Lateral Surface Area of Square Pillar, The Lateral Surface Area of Square Pillar given Space Diagonal and Height 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 height 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 Height using this online evaluator? To use this online evaluator for Lateral Surface Area of Square Pillar given Space Diagonal and Height, enter Space Diagonal of Square Pillar (d_Space) & Height of Square Pillar (h) and hit the calculate button.

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

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

The formula of Lateral Surface Area of Square Pillar given Space Diagonal and Height is expressed as Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar. Here is an example- 455.368 = 4*sqrt((18^2-12^2)/2)*12.

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

With Space Diagonal of Square Pillar (d_Space) & Height of Square Pillar (h) we can find Lateral Surface Area of Square Pillar given Space Diagonal and Height using the formula - Lateral Surface Area of Square Pillar = 4*sqrt((Space Diagonal of Square Pillar^2-Height of Square Pillar^2)/2)*Height of Square Pillar. 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 Height be negative?

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

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

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

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

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

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

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

Variable Name

GoLateral Surface Area of Square Pillar Formula

GoLateral Surface Area of Square Pillar given Total Surface Area Formula