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Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Formula

GoTotal Surface Area of Parallelepiped Formula

GoTotal Surface Area of Parallelepiped given Lateral Surface Area Formula

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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 \cdot (((\frac{P}{4} - S b - S c) \cdot S b \cdot \sin (∠γ)) + ((\frac{P}{4} - S b - S c) \cdot S c \cdot \sin (∠β)) + (S b \cdot S c \cdot \sin (∠α)))

TSA - Total Surface Area of Parallelepiped?P - Perimeter of Parallelepiped?S_b - Side B of Parallelepiped?S_c - Side C of Parallelepiped?∠γ - Angle Gamma of Parallelepiped?∠β - Angle Beta of Parallelepiped?∠α - Angle Alpha of Parallelepiped?

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Example

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Here is how the Total Surface Area of Parallelepiped given Perimeter, Side B and Side C equation looks like with Values.

Here is how the Total Surface Area of Parallelepiped given Perimeter, Side B and Side C equation looks like with Units.

Here is how the Total Surface Area of Parallelepiped given Perimeter, Side B and Side C equation looks like.

1961.5689 = 2 \cdot (((\frac{240}{4} - 20 - 10) \cdot 20 \cdot \sin (75)) + ((\frac{240}{4} - 20 - 10) \cdot 10 \cdot \sin (60)) + (20 \cdot 10 \cdot \sin (45)))

1961.5689m² = 2 \cdot (((\frac{240m}{4} - 20m - 10m) \cdot 20m \cdot \sin (75°)) + ((\frac{240m}{4} - 20m - 10m) \cdot 10m \cdot \sin (60°)) + (20m \cdot 10m \cdot \sin (45°)))

1961.5689 = 2 \cdot (((\frac{240}{4} - 20 - 10) \cdot 20 \cdot \sin (75)) + ((\frac{240}{4} - 20 - 10) \cdot 10 \cdot \sin (60)) + (20 \cdot 10 \cdot \sin (45)))

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Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Solution

Follow our step by step solution on how to calculate Total Surface Area of Parallelepiped given Perimeter, Side B and Side C?

FIRST Step Consider the formula

TSA = 2 \cdot (((\frac{P}{4} - S b - S c) \cdot S b \cdot \sin (∠γ)) + ((\frac{P}{4} - S b - S c) \cdot S c \cdot \sin (∠β)) + (S b \cdot S c \cdot \sin (∠α)))

Next Step Substitute values of Variables

∴

TSA = 2 \cdot (((\frac{240m}{4} - 20m - 10m) \cdot 20m \cdot \sin (75°)) + ((\frac{240m}{4} - 20m - 10m) \cdot 10m \cdot \sin (60°)) + (20m \cdot 10m \cdot \sin (45°)))

Next Step Convert Units

∴

TSA = 2 \cdot (((\frac{240m}{4} - 20m - 10m) \cdot 20m \cdot \sin (1.309rad)) + ((\frac{240m}{4} - 20m - 10m) \cdot 10m \cdot \sin (1.0472rad)) + (20m \cdot 10m \cdot \sin (0.7854rad)))

Next Step Prepare to Evaluate

∴

TSA = 2 \cdot (((\frac{240}{4} - 20 - 10) \cdot 20 \cdot \sin (1.309)) + ((\frac{240}{4} - 20 - 10) \cdot 10 \cdot \sin (1.0472)) + (20 \cdot 10 \cdot \sin (0.7854)))

Next Step Evaluate

∴

TSA = 1961.56894629199m²

LAST Step Rounding Answer

∴

TSA = 1961.5689m²

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C 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 Parallelepiped

Perimeter of Parallelepiped

Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.

Symbol: P

Measurement: LengthUnit: m

Note: Value should be greater than 0.

Formulas to find Perimeter 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

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 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

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 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)

Other Formulas to find Total Surface Area of Parallelepiped

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 Total Surface Area of Parallelepiped given Perimeter, Side B and Side C?

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C evaluator uses Total Surface Area of Parallelepiped = 2*(((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C 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, The Total Surface Area of Parallelepiped given Perimeter, Side B and Side C formula is defined as measure of the total quantity of plane enclosed by the entire surface of the Parallelepiped, calculated using perimeter, side B and side C of Parallelepiped. Total Surface Area of Parallelepiped is denoted by TSA symbol.

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

FAQs on Total Surface Area of Parallelepiped given Perimeter, Side B and Side C

What is the formula to find Total Surface Area of Parallelepiped given Perimeter, Side B and Side C?

The formula of Total Surface Area of Parallelepiped given Perimeter, Side B and Side C is expressed as Total Surface Area of Parallelepiped = 2*(((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C 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*(((240/4-20-10)*20*sin(1.3089969389955))+((240/4-20-10)*10*sin(1.0471975511964))+(20*10*sin(0.785398163397301))).

How to calculate Total Surface Area of Parallelepiped given Perimeter, Side B and Side C?

With Perimeter of Parallelepiped (P), Side B of Parallelepiped (S_b), Side C of Parallelepiped (S_c), Angle Gamma of Parallelepiped (∠γ), Angle Beta of Parallelepiped (∠β) & Angle Alpha of Parallelepiped (∠α) we can find Total Surface Area of Parallelepiped given Perimeter, Side B and Side C using the formula - Total Surface Area of Parallelepiped = 2*(((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped)*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+((Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C 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=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)))
Total Surface Area of Parallelepiped=Lateral Surface Area of Parallelepiped+2*Side A of Parallelepiped*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)
Total Surface Area of Parallelepiped=2*((Side A of Parallelepiped*Side B of Parallelepiped*sin(Angle Gamma of Parallelepiped))+(Volume of Parallelepiped*sin(Angle Beta of Parallelepiped))/(Side B of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2)))+(Volume of Parallelepiped*sin(Angle Alpha of Parallelepiped))/(Side A of Parallelepiped*sqrt(1+(2*cos(Angle Alpha of Parallelepiped)*cos(Angle Beta of Parallelepiped)*cos(Angle Gamma of Parallelepiped))-(cos(Angle Alpha of Parallelepiped)^2+cos(Angle Beta of Parallelepiped)^2+cos(Angle Gamma of Parallelepiped)^2))))

Can the Total Surface Area of Parallelepiped given Perimeter, Side B and Side C be negative?

No, the Total Surface Area of Parallelepiped given Perimeter, Side B and Side C, measured in Area cannot be negative.

Which unit is used to measure Total Surface Area of Parallelepiped given Perimeter, Side B and Side C?

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C 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 given Perimeter, Side B and Side C can be measured.

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Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Formula

​GoTotal Surface Area of Parallelepiped Formula

​GoTotal Surface Area of Parallelepiped given Lateral Surface Area Formula

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Example

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Solution

Total Surface Area of Parallelepiped given Perimeter, Side B and Side C Formula Elements

Other Formulas to find Total Surface Area of Parallelepiped

How to Evaluate Total Surface Area of Parallelepiped given Perimeter, Side B and Side C?

FAQs on Total Surface Area of Parallelepiped given Perimeter, Side B and Side C

Variable Name

GoTotal Surface Area of Parallelepiped Formula

GoTotal Surface Area of Parallelepiped given Lateral Surface Area Formula