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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=TSA-2⋅Sa⋅Sc⋅sin(∠β)
LSA - Lateral Surface Area of Parallelepiped?TSA - Total Surface Area of Parallelepiped?Sa - Side A of Parallelepiped?Sc - Side C of Parallelepiped?∠β - Angle Beta of Parallelepiped?

Lateral Surface Area of Parallelepiped given Total Surface Area Example

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With units
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Here is how the Lateral Surface Area of Parallelepiped given Total Surface Area equation looks like with Values.

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

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

1440.3848Edit=1960Edit-2⋅30Edit⋅10Edit⋅sin(60Edit)
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Lateral Surface Area of Parallelepiped given Total Surface Area Solution

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

FIRST Step Consider the formula
LSA=TSA-2⋅Sa⋅Sc⋅sin(∠β)
Next Step Substitute values of Variables
∴ LSA=1960m²-2⋅30m⋅10m⋅sin(60°)
Next Step Convert Units
∴ LSA=1960m²-2⋅30m⋅10m⋅sin(1.0472rad)
Next Step Prepare to Evaluate
∴ LSA=1960-2⋅30⋅10⋅sin(1.0472)
Next Step Evaluate
∴LSA=1440.3847577294m²
LAST Step Rounding Answer
∴LSA=1440.3848m²

Lateral Surface Area of Parallelepiped given Total Surface Area 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 ParallelepipedOpen Variable
Total Surface Area of Parallelepiped
Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.
Symbol: TSA
Measurement: AreaUnit: m²
Note: Value should be greater than 0.
Formulas to find Total Surface Area of ParallelepipedOpen Variable
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: Sa
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side A of ParallelepipedOpen Variable
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: Sc
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side C of ParallelepipedOpen Variable
Angle Beta of Parallelepiped
Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.
Symbol: ∠β
Measurement: AngleUnit: °
Note: Value should be between 0 to 180.
Formulas to find Angle Beta of ParallelepipedOpen Variable
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)

Other Formulas to find Lateral Surface Area of Parallelepiped

​Go Lateral Surface Area of Parallelepiped
LSA=2⋅((Sa⋅Sb⋅sin(∠γ))+(Sb⋅Sc⋅sin(∠α)))

Other formulas in Lateral Surface Area of Parallelepiped category

​Go Total Surface Area of Parallelepiped
TSA=2⋅((Sa⋅Sb⋅sin(∠γ))+(Sa⋅Sc⋅sin(∠β))+(Sb⋅Sc⋅sin(∠α)))
​Go Total Surface Area of Parallelepiped given Lateral Surface Area
TSA=LSA+2⋅Sa⋅Sc⋅sin(∠β)

How to Evaluate Lateral Surface Area of Parallelepiped given Total Surface Area?

Lateral Surface Area of Parallelepiped given Total Surface Area evaluator uses Lateral Surface Area of Parallelepiped = Total Surface Area of Parallelepiped-2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped) to evaluate the Lateral Surface Area of Parallelepiped, The Lateral Surface Area of Parallelepiped given Total Surface Area 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, calculated using total surface area of Parallelepiped. Lateral Surface Area of Parallelepiped is denoted by LSA symbol.

How to evaluate Lateral Surface Area of Parallelepiped given Total Surface Area using this online evaluator? To use this online evaluator for Lateral Surface Area of Parallelepiped given Total Surface Area, enter Total Surface Area of Parallelepiped (TSA), Side A of Parallelepiped (Sa), Side C of Parallelepiped (Sc) & Angle Beta of Parallelepiped (∠β) and hit the calculate button.

FAQs on Lateral Surface Area of Parallelepiped given Total Surface Area

What is the formula to find Lateral Surface Area of Parallelepiped given Total Surface Area?
The formula of Lateral Surface Area of Parallelepiped given Total Surface Area is expressed as Lateral Surface Area of Parallelepiped = Total Surface Area of Parallelepiped-2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped). Here is an example- 1440.385 = 1960-2*30*10*sin(1.0471975511964).
How to calculate Lateral Surface Area of Parallelepiped given Total Surface Area?
With Total Surface Area of Parallelepiped (TSA), Side A of Parallelepiped (Sa), Side C of Parallelepiped (Sc) & Angle Beta of Parallelepiped (∠β) we can find Lateral Surface Area of Parallelepiped given Total Surface Area using the formula - Lateral Surface Area of Parallelepiped = Total Surface Area of Parallelepiped-2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta 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=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)))OpenImg
Can the Lateral Surface Area of Parallelepiped given Total Surface Area be negative?
No, the Lateral Surface Area of Parallelepiped given Total Surface Area, measured in Area cannot be negative.
Which unit is used to measure Lateral Surface Area of Parallelepiped given Total Surface Area?
Lateral Surface Area of Parallelepiped given Total Surface Area 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 given Total Surface Area can be measured.
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