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Side B of Parallelepiped given Lateral Surface Area Formula

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

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

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

Side B of Parallelepiped given Lateral Surface Area Example

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

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

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

19.9729 = \frac{1440}{2 \cdot (30 \cdot \sin (75) + 10 \cdot \sin (45))}

19.9729m = \frac{1440m²}{2 \cdot (30m \cdot \sin (75°) + 10m \cdot \sin (45°))}

19.9729 = \frac{1440}{2 \cdot (30 \cdot \sin (75) + 10 \cdot \sin (45))}

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Side B of Parallelepiped given Lateral Surface Area Solution

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S b = \frac{1440m²}{2 \cdot (30m \cdot \sin (75°) + 10m \cdot \sin (45°))}

Next Step Convert Units

∴

S b = \frac{1440m²}{2 \cdot (30m \cdot \sin (1.309rad) + 10m \cdot \sin (0.7854rad))}

Next Step Prepare to Evaluate

∴

S b = \frac{1440}{2 \cdot (30 \cdot \sin (1.309) + 10 \cdot \sin (0.7854))}

Next Step Evaluate

∴

S b = 19.9729019868539m

LAST Step Rounding Answer

∴

S b = 19.9729m

Side B of Parallelepiped given Lateral Surface Area Formula Elements

Variables

Functions

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

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

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)

Other Formulas to find Side B of Parallelepiped

Go Side B of Parallelepiped

S b = \frac{V}{S a \cdot S c \cdot \sqrt{1 + (2 \cdot \cos (∠α) \cdot \cos (∠β) \cdot \cos (∠γ)) - ({\cos (∠α)}^{2} + {\cos (∠β)}^{2} + {\cos (∠γ)}^{2})}}

Other formulas in Side of Parallelepiped category

Go Side A of Parallelepiped

S a = \frac{V}{S b \cdot S c \cdot \sqrt{1 + (2 \cdot \cos (∠α) \cdot \cos (∠β) \cdot \cos (∠γ)) - ({\cos (∠α)}^{2} + {\cos (∠β)}^{2} + {\cos (∠γ)}^{2})}}

Go Side C of Parallelepiped

S c = \frac{V}{S b \cdot S a \cdot \sqrt{1 + (2 \cdot \cos (∠α) \cdot \cos (∠β) \cdot \cos (∠γ)) - ({\cos (∠α)}^{2} + {\cos (∠β)}^{2} + {\cos (∠γ)}^{2})}}

Go Side A of Parallelepiped given Total Surface Area and Lateral Surface Area

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

Go Side C of Parallelepiped given Total Surface Area and Lateral Surface Area

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

How to Evaluate Side B of Parallelepiped given Lateral Surface Area?

Side B of Parallelepiped given Lateral Surface Area evaluator uses Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))) to evaluate the Side B of Parallelepiped, The Side B of Parallelepiped given Lateral Surface Area formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using lateral surface area of Parallelepiped. Side B of Parallelepiped is denoted by S_b symbol.

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

FAQs on Side B of Parallelepiped given Lateral Surface Area

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

The formula of Side B of Parallelepiped given Lateral Surface Area is expressed as Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma of Parallelepiped)+Side C of Parallelepiped*sin(Angle Alpha of Parallelepiped))). Here is an example- 19.9729 = 1440/(2*(30*sin(1.3089969389955)+10*sin(0.785398163397301))).

How to calculate Side B of Parallelepiped given Lateral Surface Area?

With Lateral Surface Area of Parallelepiped (LSA), Side A of Parallelepiped (S_a), Angle Gamma of Parallelepiped (∠γ), Side C of Parallelepiped (S_c) & Angle Alpha of Parallelepiped (∠α) we can find Side B of Parallelepiped given Lateral Surface Area using the formula - Side B of Parallelepiped = Lateral Surface Area of Parallelepiped/(2*(Side A of Parallelepiped*sin(Angle Gamma 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 Side B of Parallelepiped?

Here are the different ways to Calculate Side B of Parallelepiped-

Side B of Parallelepiped=Volume of Parallelepiped/(Side A of Parallelepiped*Side C 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 Side B of Parallelepiped given Lateral Surface Area be negative?

No, the Side B of Parallelepiped given Lateral Surface Area, measured in Length cannot be negative.

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

Side B of Parallelepiped given Lateral Surface Area is usually measured using the Meter[m] for Length. Millimeter[m], Kilometer[m], Decimeter[m] are the few other units in which Side B of Parallelepiped given Lateral Surface Area can be measured.

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Side B of Parallelepiped given Lateral Surface Area Formula

​GoSide B of Parallelepiped Formula

Side B of Parallelepiped given Lateral Surface Area Example

Side B of Parallelepiped given Lateral Surface Area Solution

Side B of Parallelepiped given Lateral Surface Area Formula Elements

Other Formulas to find Side B of Parallelepiped

Other formulas in Side of Parallelepiped category

How to Evaluate Side B of Parallelepiped given Lateral Surface Area?

FAQs on Side B of Parallelepiped given Lateral Surface Area

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GoSide B of Parallelepiped Formula