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

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

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

S_a - Side A of Parallelepiped?TSA - Total Surface Area of Parallelepiped?LSA - Lateral Surface Area of Parallelepiped?S_c - Side C of Parallelepiped?∠β - Angle Beta of Parallelepiped?

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

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

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

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

30.0222 = \frac{1960 - 1440}{2 \cdot 10 \cdot \sin (60)}

30.0222m = \frac{1960m² - 1440m²}{2 \cdot 10m \cdot \sin (60°)}

30.0222 = \frac{1960 - 1440}{2 \cdot 10 \cdot \sin (60)}

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

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

FIRST Step Consider the formula

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

Next Step Substitute values of Variables

∴

S a = \frac{1960m² - 1440m²}{2 \cdot 10m \cdot \sin (60°)}

Next Step Convert Units

∴

S a = \frac{1960m² - 1440m²}{2 \cdot 10m \cdot \sin (1.0472rad)}

Next Step Prepare to Evaluate

∴

S a = \frac{1960 - 1440}{2 \cdot 10 \cdot \sin (1.0472)}

Next Step Evaluate

∴

S a = 30.022213997864m

LAST Step Rounding Answer

∴

S a = 30.0222m

Side A of Parallelepiped given Total Surface Area and Lateral Surface Area Formula Elements

Variables

Functions

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

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

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 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 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

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 A of Parallelepiped

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})}}

Other formulas in Side of Parallelepiped category

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})}}

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 B of Parallelepiped given Lateral Surface Area

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

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 A of Parallelepiped given Total Surface Area and Lateral Surface Area?

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

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

FAQs on Side A of Parallelepiped given Total Surface Area and Lateral Surface Area

What is the formula to find Side A of Parallelepiped given Total Surface Area and Lateral Surface Area?

The formula of Side A of Parallelepiped given Total Surface Area and Lateral Surface Area is expressed as Side A of Parallelepiped = (Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)). Here is an example- 30.02221 = (1960-1440)/(2*10*sin(1.0471975511964)).

How to calculate Side A of Parallelepiped given Total Surface Area and Lateral Surface Area?

With Total Surface Area of Parallelepiped (TSA), Lateral Surface Area of Parallelepiped (LSA), Side C of Parallelepiped (S_c) & Angle Beta of Parallelepiped (∠β) we can find Side A of Parallelepiped given Total Surface Area and Lateral Surface Area using the formula - Side A of Parallelepiped = (Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped)). This formula also uses Sine function(s).

What are the other ways to Calculate Side A of Parallelepiped?

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

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

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

Which unit is used to measure Side A of Parallelepiped given Total Surface Area and Lateral Surface Area?

Side A of Parallelepiped given Total Surface Area and 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 A of Parallelepiped given Total Surface Area and Lateral Surface Area can be measured.

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

​GoSide A of Parallelepiped Formula

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

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

Side A of Parallelepiped given Total Surface Area and Lateral Surface Area Formula Elements

Other Formulas to find Side A of Parallelepiped

Other formulas in Side of Parallelepiped category

How to Evaluate Side A of Parallelepiped given Total Surface Area and Lateral Surface Area?

FAQs on Side A of Parallelepiped given Total Surface Area and Lateral Surface Area

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