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Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped. Check FAQs
TSA=2⋅((Sa⋅Sb⋅sin(∠γ))+(Sa⋅Sc⋅sin(∠β))+(Sb⋅Sc⋅sin(∠α)))
TSA - Total Surface Area of Parallelepiped?Sa - Side A of Parallelepiped?Sb - Side B of Parallelepiped?∠γ - Angle Gamma of Parallelepiped?Sc - Side C of Parallelepiped?∠β - Angle Beta of Parallelepiped?∠α - Angle Alpha of Parallelepiped?

Total Surface Area of Parallelepiped Example

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

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

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

1961.5689Edit=2⋅((30Edit⋅20Edit⋅sin(75Edit))+(30Edit⋅10Edit⋅sin(60Edit))+(20Edit⋅10Edit⋅sin(45Edit)))
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HomeIcon Home » Category Math » Category Geometry » Category 3D Geometry » fx Total Surface Area of Parallelepiped

Total Surface Area of Parallelepiped Solution

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

FIRST Step Consider the formula
TSA=2⋅((Sa⋅Sb⋅sin(∠γ))+(Sa⋅Sc⋅sin(∠β))+(Sb⋅Sc⋅sin(∠α)))
Next Step Substitute values of Variables
∴ TSA=2⋅((30m⋅20m⋅sin(75°))+(30m⋅10m⋅sin(60°))+(20m⋅10m⋅sin(45°)))
Next Step Convert Units
∴ TSA=2⋅((30m⋅20m⋅sin(1.309rad))+(30m⋅10m⋅sin(1.0472rad))+(20m⋅10m⋅sin(0.7854rad)))
Next Step Prepare to Evaluate
∴ TSA=2⋅((30⋅20⋅sin(1.309))+(30⋅10⋅sin(1.0472))+(20⋅10⋅sin(0.7854)))
Next Step Evaluate
∴TSA=1961.56894629199m²
LAST Step Rounding Answer
∴TSA=1961.5689m²

Total Surface Area of Parallelepiped Formula Elements

Variables
Functions
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 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: Sb
Measurement: LengthUnit: m
Note: Value should be greater than 0.
Formulas to find Side B of ParallelepipedOpen Variable
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 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
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 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 Total Surface Area of Parallelepiped

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

Other formulas in Total Surface Area of Parallelepiped category

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

How to Evaluate Total Surface Area of Parallelepiped?

Total Surface Area of Parallelepiped evaluator uses Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))) to evaluate the Total Surface Area of Parallelepiped, Total Surface Area of Parallelepiped formula is defined as measure of the total quantity of plane enclosed by the entire surface of the Parallelepiped. Total Surface Area of Parallelepiped is denoted by TSA symbol.

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

FAQs on Total Surface Area of Parallelepiped

What is the formula to find Total Surface Area of Parallelepiped?
The formula of Total Surface Area of Parallelepiped is expressed as Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+(Side B of Parallelepiped*Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))). Here is an example- 1961.569 = 2*((30*20*sin(1.3089969389955))+(30*10*sin(1.0471975511964))+(20*10*sin(0.785398163397301))).
How to calculate Total Surface Area of Parallelepiped?
With Side A of Parallelepiped (Sa), Side B of Parallelepiped (Sb), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (Sc), Angle Beta of Parallelepiped (∠β) & Angle Alpha of Parallelepiped (∠α) we can find Total Surface Area of Parallelepiped using the formula - Total Surface Area of Parallelepiped = 2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta 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 Total Surface Area of Parallelepiped?
Here are the different ways to Calculate Total Surface Area of Parallelepiped-
  • Total Surface Area of Parallelepiped=Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)OpenImg
Can the Total Surface Area of Parallelepiped be negative?
No, the Total Surface Area of Parallelepiped, measured in Area cannot be negative.
Which unit is used to measure Total Surface Area of Parallelepiped?
Total 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 Total Surface Area of Parallelepiped can be measured.
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