Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B Calculator

✖Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.ⓘ Side A of Parallelepiped [S_a]			+10% -10%
✖Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.ⓘ Side B of Parallelepiped [S_b]			+10% -10%
✖Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.ⓘ Total Surface Area of Parallelepiped [TSA]			+10% -10%
✖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.ⓘ Lateral Surface Area of Parallelepiped [LSA]			+10% -10%
✖Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.ⓘ Angle Beta of Parallelepiped [∠β]			+10% -10%

✖Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.ⓘ Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B [P]

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Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B

Formula

`"P" = 4*("S"_{"a"}+"S"_{"b"}+("TSA"-"LSA")/(2*"S"_{"a"}*sin("∠β")))`

Example

`"240.0296m"=4*("30m"+"20m"+("1960m²"-"1440m²")/(2*"30m"*sin("60°")))`

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

STEP 0: Pre-Calculation Summary

Formula Used

Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Side B of Parallelepiped+(Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side A of Parallelepiped*sin(Angle Beta of Parallelepiped)))
P = 4*(S_a+S_b+(TSA-LSA)/(2*S_a*sin(∠β)))
This formula uses 1 Functions, 6 Variables

Functions Used

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., sin(Angle)

Variables Used

Perimeter of Parallelepiped - (Measured in Meter) - Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.
Side A of Parallelepiped - (Measured in Meter) - Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.
Side B of Parallelepiped - (Measured in Meter) - Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.
Total Surface Area of Parallelepiped - (Measured in Square Meter) - Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the Parallelepiped.
Lateral Surface Area of Parallelepiped - (Measured in Square Meter) - 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.
Angle Beta of Parallelepiped - (Measured in Radian) - Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.

STEP 1: Convert Input(s) to Base Unit

Side A of Parallelepiped: 30 Meter --> 30 Meter No Conversion Required
Side B of Parallelepiped: 20 Meter --> 20 Meter No Conversion Required
Total Surface Area of Parallelepiped: 1960 Square Meter --> 1960 Square Meter No Conversion Required
Lateral Surface Area of Parallelepiped: 1440 Square Meter --> 1440 Square Meter No Conversion Required
Angle Beta of Parallelepiped: 60 Degree --> 1.0471975511964 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*(S_a+S_b+(TSA-LSA)/(2*S_a*sin(∠β))) --> 4*(30+20+(1960-1440)/(2*30*sin(1.0471975511964)))

Evaluating ... ...

P = 240.029618663819

STEP 3: Convert Result to Output's Unit

240.029618663819 Meter --> No Conversion Required

FINAL ANSWER

240.029618663819 ≈ 240.0296 Meter <-- Perimeter of Parallelepiped

(Calculation completed in 00.004 seconds)

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

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< 7 Perimeter of Parallelepiped Calculators

Perimeter of Parallelepiped given Volume, Side A and Side B

Go 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 given Volume, Side B and Side C

Go 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)

Perimeter of Parallelepiped given Volume, Side A and Side C

Go Perimeter of Parallelepiped = 4*(Side A 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)))+Side C of Parallelepiped)

Perimeter of Parallelepiped given Lateral Surafce Area, Side A and Side C

Go Perimeter of Parallelepiped = 4*(Side A 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)))+Side C of Parallelepiped)

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

Go 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)

Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B

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

Perimeter of Parallelepiped

Go Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Side B of Parallelepiped+Side C of Parallelepiped)

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

What is a Parallelepiped?

A Parallelepiped is a three-dimensional figure formed by six parallelograms (the term rhomboid is also sometimes used with this meaning). By analogy, it relates to a parallelogram just as a cube relates to a square. In Euclidean geometry, the four concepts—parallelepiped and cube in three dimensions, parallelogram and square in two dimensions—are defined, but in the context of a more general affine geometry, in which angles are not differentiated, only parallelograms and parallelepipeds exist.

How to Calculate Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B?

Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B calculator uses Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Side B of Parallelepiped+(Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side A of Parallelepiped*sin(Angle Beta of Parallelepiped))) to calculate the Perimeter of Parallelepiped, The Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B formula is defined as the total distance around the edge of the Parallelepiped, calculated using lateral surface area, total surface area, side A and side B of Parallelepiped. Perimeter of Parallelepiped is denoted by P symbol.

How to calculate Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B using this online calculator? To use this online calculator for Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B, enter Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Total Surface Area of Parallelepiped (TSA), Lateral Surface Area of Parallelepiped (LSA) & Angle Beta of Parallelepiped (∠β) and hit the calculate button. Here is how the Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B calculation can be explained with given input values -> 240.0296 = 4*(30+20+(1960-1440)/(2*30*sin(1.0471975511964))).

FAQ

What is Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B?

The Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B formula is defined as the total distance around the edge of the Parallelepiped, calculated using lateral surface area, total surface area, side A and side B of Parallelepiped and is represented as P = 4*(S_a+S_b+(TSA-LSA)/(2*S_a*sin(∠β))) or Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Side B of Parallelepiped+(Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side A of Parallelepiped*sin(Angle Beta of Parallelepiped))). Side A of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped, Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped, Total Surface Area of Parallelepiped is the total quantity of plane enclosed by the entire surface of the 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 & Angle Beta of Parallelepiped is the angle formed by side A and side C at any of the two sharp tips of the Parallelepiped.

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

The Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B formula is defined as the total distance around the edge of the Parallelepiped, calculated using lateral surface area, total surface area, side A and side B of Parallelepiped is calculated using Perimeter of Parallelepiped = 4*(Side A of Parallelepiped+Side B of Parallelepiped+(Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side A of Parallelepiped*sin(Angle Beta of Parallelepiped))). To calculate Perimeter of Parallelepiped given Lateral Surface Area, Total Surface Area, Side A and Side B, you need Side A of Parallelepiped (S_a), Side B of Parallelepiped (S_b), Total Surface Area of Parallelepiped (TSA), Lateral Surface Area of Parallelepiped (LSA) & Angle Beta of Parallelepiped (∠β). With our tool, you need to enter the respective value for Side A of Parallelepiped, Side B of Parallelepiped, Total Surface Area of Parallelepiped, Lateral Surface Area of Parallelepiped & Angle Beta of Parallelepiped and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.

How many ways are there to calculate Perimeter of Parallelepiped?

In this formula, Perimeter of Parallelepiped uses Side A of Parallelepiped, Side B of Parallelepiped, Total Surface Area of Parallelepiped, Lateral Surface Area of Parallelepiped & Angle Beta of Parallelepiped. We can use 6 other way(s) to calculate the same, which is/are as follows -

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*(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)
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)
Perimeter of Parallelepiped = 4*(Side A 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)))+Side C of Parallelepiped)
Perimeter of Parallelepiped = 4*(Side A 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)))+Side C of Parallelepiped)

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