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Perimeter of Parallelepiped given Volume, Side B and Side C Formula

GoPerimeter of Parallelepiped Formula

GoPerimeter of Parallelepiped given Volume, Side A and Side B Formula

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

P = 4 \cdot (\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})}} + S b + S c)

P - Perimeter of Parallelepiped?V - Volume of Parallelepiped?S_b - Side B of Parallelepiped?S_c - Side C of Parallelepiped?∠α - Angle Alpha of Parallelepiped?∠β - Angle Beta of Parallelepiped?∠γ - Angle Gamma of Parallelepiped?

Perimeter of Parallelepiped given Volume, Side B and Side C Example

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

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

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

239.9999 = 4 \cdot (\frac{3630}{20 \cdot 10 \cdot \sqrt{1 + (2 \cdot \cos (45) \cdot \cos (60) \cdot \cos (75)) - ({\cos (45)}^{2} + {\cos (60)}^{2} + {\cos (75)}^{2})}} + 20 + 10)

239.9999m = 4 \cdot (\frac{3630m³}{20m \cdot 10m \cdot \sqrt{1 + (2 \cdot \cos (45°) \cdot \cos (60°) \cdot \cos (75°)) - ({\cos (45°)}^{2} + {\cos (60°)}^{2} + {\cos (75°)}^{2})}} + 20m + 10m)

239.9999 = 4 \cdot (\frac{3630}{20 \cdot 10 \cdot \sqrt{1 + (2 \cdot \cos (45) \cdot \cos (60) \cdot \cos (75)) - ({\cos (45)}^{2} + {\cos (60)}^{2} + {\cos (75)}^{2})}} + 20 + 10)

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Perimeter of Parallelepiped given Volume, Side B and Side C Solution

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

FIRST Step Consider the formula

P = 4 \cdot (\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})}} + S b + S c)

Next Step Substitute values of Variables

∴

P = 4 \cdot (\frac{3630m³}{20m \cdot 10m \cdot \sqrt{1 + (2 \cdot \cos (45°) \cdot \cos (60°) \cdot \cos (75°)) - ({\cos (45°)}^{2} + {\cos (60°)}^{2} + {\cos (75°)}^{2})}} + 20m + 10m)

Next Step Convert Units

∴

P = 4 \cdot (\frac{3630m³}{20m \cdot 10m \cdot \sqrt{1 + (2 \cdot \cos (0.7854rad) \cdot \cos (1.0472rad) \cdot \cos (1.309rad)) - ({\cos (0.7854rad)}^{2} + {\cos (1.0472rad)}^{2} + {\cos (1.309rad)}^{2})}} + 20m + 10m)

Next Step Prepare to Evaluate

∴

P = 4 \cdot (\frac{3630}{20 \cdot 10 \cdot \sqrt{1 + (2 \cdot \cos (0.7854) \cdot \cos (1.0472) \cdot \cos (1.309)) - ({\cos (0.7854)}^{2} + {\cos (1.0472)}^{2} + {\cos (1.309)}^{2})}} + 20 + 10)

Next Step Evaluate

∴

P = 239.999933810436m

LAST Step Rounding Answer

∴

P = 239.9999m

Perimeter of Parallelepiped given Volume, Side B and Side C Formula Elements

Variables

Functions

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

Volume of Parallelepiped

Volume of Parallelepiped is the total quantity of three-dimensional space enclosed by the surface of the Parallelepiped.

Symbol: V

Measurement: VolumeUnit: m³

Note: Value should be greater than 0.

Formulas to find Volume 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 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

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 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

cos

Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle.

Syntax: cos(Angle)

sqrt

A square root function is a function that takes a non-negative number as an input and returns the square root of the given input number.

Syntax: sqrt(Number)

Credits

Created by Diwanshi Jain

Netaji Subhash University of Technology, Delhi (NSUT Delhi), Dwarka

Diwanshi Jain has created this Formula and 300+ more formulas!

Verified by Dhruv Walia

Indian Institute of Technology, Indian School of Mines, DHANBAD (IIT ISM), Dhanbad, Jharkhand

Dhruv Walia has verified this Formula and 400+ more formulas!

Other Formulas to find Perimeter of Parallelepiped

Go Perimeter of Parallelepiped

P = 4 \cdot (S a + S b + S c)

Go Perimeter of Parallelepiped given Volume, Side A and Side B

P = 4 \cdot (S a + S b + \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})}})

How to Evaluate Perimeter of Parallelepiped given Volume, Side B and Side C?

Perimeter of Parallelepiped given Volume, Side B and Side C evaluator uses Perimeter of Parallelepiped = 4*(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)))+Side B of Parallelepiped+Side C of Parallelepiped) to evaluate the Perimeter of Parallelepiped, The Perimeter of Parallelepiped given Volume, Side B and Side C formula is defined as the total distance around the edge of the Parallelepiped, calculated using volume, side B and side C of Parallelepiped. Perimeter of Parallelepiped is denoted by P symbol.

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

FAQs on Perimeter of Parallelepiped given Volume, Side B and Side C

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

The formula of Perimeter of Parallelepiped given Volume, Side B and Side C is expressed as Perimeter of Parallelepiped = 4*(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)))+Side B of Parallelepiped+Side C of Parallelepiped). Here is an example- 239.9999 = 4*(3630/(20*10*sqrt(1+(2*cos(0.785398163397301)*cos(1.0471975511964)*cos(1.3089969389955))-(cos(0.785398163397301)^2+cos(1.0471975511964)^2+cos(1.3089969389955)^2)))+20+10).

How to calculate Perimeter of Parallelepiped given Volume, Side B and Side C?

With Volume of Parallelepiped (V), Side B of Parallelepiped (S_b), Side C of Parallelepiped (S_c), Angle Alpha of Parallelepiped (∠α), Angle Beta of Parallelepiped (∠β) & Angle Gamma of Parallelepiped (∠γ) we can find Perimeter of Parallelepiped given Volume, Side B and Side C using the formula - Perimeter of Parallelepiped = 4*(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)))+Side B of Parallelepiped+Side C of Parallelepiped). This formula also uses Cosine (cos), Square Root (sqrt) function(s).

What are the other ways to Calculate Perimeter of Parallelepiped?

Here are the different ways to Calculate Perimeter of Parallelepiped-

Perimeter of Parallelepiped=4*(Side A of Parallelepiped+Side B of Parallelepiped+Side C of Parallelepiped)
Perimeter of Parallelepiped=4*(Side A of Parallelepiped+Side B of Parallelepiped+Volume of Parallelepiped/(Side B 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))))
Perimeter of Parallelepiped=4*((Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))+Side B of Parallelepiped+Side C of Parallelepiped)

Can the Perimeter of Parallelepiped given Volume, Side B and Side C be negative?

No, the Perimeter of Parallelepiped given Volume, Side B and Side C, measured in Length cannot be negative.

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

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

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Perimeter of Parallelepiped given Volume, Side B and Side C Formula

​GoPerimeter of Parallelepiped Formula

​GoPerimeter of Parallelepiped given Volume, Side A and Side B Formula

Perimeter of Parallelepiped given Volume, Side B and Side C Example

Perimeter of Parallelepiped given Volume, Side B and Side C Solution

Perimeter of Parallelepiped given Volume, Side B and Side C Formula Elements

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Other Formulas to find Perimeter of Parallelepiped

How to Evaluate Perimeter of Parallelepiped given Volume, Side B and Side C?

FAQs on Perimeter of Parallelepiped given Volume, Side B and Side C

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GoPerimeter of Parallelepiped given Volume, Side A and Side B Formula