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Lateral Surface Area of Parallelepiped Formula

GoLateral Surface Area of Parallelepiped given Total Surface Area Formula

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

LSA = 2 \cdot ((S a \cdot S b \cdot \sin (∠γ)) + (S b \cdot S c \cdot \sin (∠α)))

LSA - Lateral Surface Area of Parallelepiped?S_a - Side A of Parallelepiped?S_b - Side B of Parallelepiped?∠γ - Angle Gamma of Parallelepiped?S_c - Side C of Parallelepiped?∠α - Angle Alpha of Parallelepiped?

Lateral Surface Area of Parallelepiped Example

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

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

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

1441.9537 = 2 \cdot ((30 \cdot 20 \cdot \sin (75)) + (20 \cdot 10 \cdot \sin (45)))

1441.9537m² = 2 \cdot ((30m \cdot 20m \cdot \sin (75°)) + (20m \cdot 10m \cdot \sin (45°)))

1441.9537 = 2 \cdot ((30 \cdot 20 \cdot \sin (75)) + (20 \cdot 10 \cdot \sin (45)))

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Lateral Surface Area of Parallelepiped Solution

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

FIRST Step Consider the formula

LSA = 2 \cdot ((S a \cdot S b \cdot \sin (∠γ)) + (S b \cdot S c \cdot \sin (∠α)))

Next Step Substitute values of Variables

∴

LSA = 2 \cdot ((30m \cdot 20m \cdot \sin (75°)) + (20m \cdot 10m \cdot \sin (45°)))

Next Step Convert Units

∴

LSA = 2 \cdot ((30m \cdot 20m \cdot \sin (1.309rad)) + (20m \cdot 10m \cdot \sin (0.7854rad)))

Next Step Prepare to Evaluate

∴

LSA = 2 \cdot ((30 \cdot 20 \cdot \sin (1.309)) + (20 \cdot 10 \cdot \sin (0.7854)))

Next Step Evaluate

∴

LSA = 1441.95370402138m²

LAST Step Rounding Answer

∴

LSA = 1441.9537m²

Lateral Surface Area of Parallelepiped Formula Elements

Variables

Functions

Lateral Surface Area of Parallelepiped

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

Symbol: LSA

Measurement: AreaUnit: m²

Note: Value should be greater than 0.

Formulas to find Lateral Surface Area of Parallelepiped

Side A of Parallelepiped

Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_a

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side A of Parallelepiped

Side B of Parallelepiped

Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_b

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side B of Parallelepiped

Angle Gamma of Parallelepiped

Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.

Symbol: ∠γ

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Gamma of Parallelepiped

Side C of Parallelepiped

Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

Symbol: S_c

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Side C of Parallelepiped

Angle Alpha of Parallelepiped

Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.

Symbol: ∠α

Measurement: AngleUnit: °

Note: Value should be between 0 to 180.

Formulas to find Angle Alpha of Parallelepiped

sin

Sine is a trigonometric function that describes the ratio of the length of the opposite side of a right triangle to the length of the hypotenuse.

Syntax: sin(Angle)

Credits

Created by Diwanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Diwanshi Jain has created this Formula and 300+ more formulas!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Formula and 400+ more formulas!

Other Formulas to find Lateral Surface Area of Parallelepiped

Go Lateral Surface Area of Parallelepiped given Total Surface Area

LSA = TSA - 2 \cdot S a \cdot S c \cdot \sin (∠β)

Other formulas in Lateral Surface Area of Parallelepiped category

Go Total Surface Area of Parallelepiped

TSA = 2 \cdot ((S a \cdot S b \cdot \sin (∠γ)) + (S a \cdot S c \cdot \sin (∠β)) + (S b \cdot S c \cdot \sin (∠α)))

Go Total Surface Area of Parallelepiped given Lateral Surface Area

TSA = LSA + 2 \cdot S a \cdot S c \cdot \sin (∠β)

How to Evaluate Lateral Surface Area of Parallelepiped?

Lateral Surface Area of Parallelepiped evaluator uses Lateral Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))) to evaluate the Lateral Surface Area of Parallelepiped, The Lateral Surface Area of Parallelepiped formula is defined as the quantity of plane enclosed by all the lateral surfaces (that is, top and bottom faces are excluded) of the Parallelepiped. Lateral Surface Area of Parallelepiped is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Parallelepiped using this online evaluator? To use this online evaluator for Lateral Surface Area of Parallelepiped, enter Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) and hit the calculate button.

FAQs on Lateral Surface Area of Parallelepiped

What is the formula to find Lateral Surface Area of Parallelepiped?

The formula of Lateral Surface Area of Parallelepiped is expressed as Lateral Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))). Here is an example- 1441.954 = 2*((30*20*sin(1.3089969389955))+(20*10*sin(0.785398163397301))).

How to calculate Lateral Surface Area of Parallelepiped?

With Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) we can find Lateral Surface Area of Parallelepiped using the formula - Lateral Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))). This formula also uses Sine (sin) function(s).

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

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

Lateral Surface Area of Parallelepiped=Total Surface Area of Parallelepiped-2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)

Can the Lateral Surface Area of Parallelepiped be negative?

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

Which unit is used to measure Lateral Surface Area of Parallelepiped?

Lateral Surface Area of Parallelepiped 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 Parallelepiped can be measured.