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

✖Volume of Parallelepiped is the total quantity of three-dimensional space enclosed by the surface of the Parallelepiped.ⓘ Volume of Parallelepiped [V]			+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%
✖Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.ⓘ Side C of Parallelepiped [S_c]			+10% -10%
✖Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips of the Parallelepiped.ⓘ Angle Alpha of Parallelepiped [∠α]			+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%
✖Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.ⓘ Angle Gamma of Parallelepiped [∠γ]			+10% -10%

✖Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.ⓘ Perimeter of Parallelepiped given Volume, Side B and Side C [P]

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

STEP 0: Pre-Calculation Summary

Formula Used

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)
P = 4*(V/(S_b*S_c*sqrt(1+(2*cos(∠α)*cos(∠β)*cos(∠γ))-(cos(∠α)^2+cos(∠β)^2+cos(∠γ)^2)))+S_b+S_c)
This formula uses 2 Functions, 7 Variables

Functions Used

cos - Cosine of an angle is the ratio of the side adjacent to the angle to the hypotenuse of the triangle., 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., sqrt(Number)

Variables Used

Perimeter of Parallelepiped - (Measured in Meter) - Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.
Volume of Parallelepiped - (Measured in Cubic Meter) - Volume of Parallelepiped is the total quantity of three-dimensional space enclosed by the surface 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.
Side C of Parallelepiped - (Measured in Meter) - Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.
Angle Alpha of Parallelepiped - (Measured in Radian) - Angle Alpha of Parallelepiped is the angle formed by side B and side C at any of the two sharp tips 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.
Angle Gamma of Parallelepiped - (Measured in Radian) - Angle Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.

STEP 1: Convert Input(s) to Base Unit

Volume of Parallelepiped: 3630 Cubic Meter --> 3630 Cubic Meter No Conversion Required
Side B of Parallelepiped: 20 Meter --> 20 Meter No Conversion Required
Side C of Parallelepiped: 10 Meter --> 10 Meter No Conversion Required
Angle Alpha of Parallelepiped: 45 Degree --> 0.785398163397301 Radian (Check conversion here)
Angle Beta of Parallelepiped: 60 Degree --> 1.0471975511964 Radian (Check conversion here)
Angle Gamma of Parallelepiped: 75 Degree --> 1.3089969389955 Radian (Check conversion here)

STEP 2: Evaluate Formula

Substituting Input Values in Formula

P = 4*(V/(S_b*S_c*sqrt(1+(2*cos(∠α)*cos(∠β)*cos(∠γ))-(cos(∠α)^2+cos(∠β)^2+cos(∠γ)^2)))+S_b+S_c) --> 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)

Evaluating ... ...

P = 239.999933810436

STEP 3: Convert Result to Output's Unit

239.999933810436 Meter --> No Conversion Required

FINAL ANSWER

239.999933810436 ≈ 239.9999 Meter <-- Perimeter of Parallelepiped

(Calculation completed in 00.020 seconds)

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Home » Math » Geometry » 3D Geometry » Parallelepiped » Perimeter of Parallelepiped » Perimeter of Parallelepiped given Volume, Side B and Side C

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Created by Divanshi Jain

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

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

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< Perimeter of Parallelepiped Calculators

Perimeter of Parallelepiped given Volume, Side A and Side B

LaTeX 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

LaTeX 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 Lateral Surafce Area, Total Surface Area, Side B and Side C

LaTeX 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

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

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

LaTeX Go

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 Volume, Side B and Side C?

Perimeter of Parallelepiped given Volume, Side B and Side C calculator 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 calculate 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 calculate Perimeter of Parallelepiped given Volume, Side B and Side C using this online calculator? To use this online calculator 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. Here is how the Perimeter of Parallelepiped given Volume, Side B and Side C calculation can be explained with given input values -> 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).

FAQ

What is Perimeter of Parallelepiped given Volume, Side B and Side C?

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 and is represented as P = 4*(V/(S_b*S_c*sqrt(1+(2*cos(∠α)*cos(∠β)*cos(∠γ))-(cos(∠α)^2+cos(∠β)^2+cos(∠γ)^2)))+S_b+S_c) or 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). Volume of Parallelepiped is the total quantity of three-dimensional space enclosed by the surface 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, Side C of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the 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, 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 Gamma of Parallelepiped is the angle formed by side A and side B at any of the two sharp tips of the Parallelepiped.

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

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 is calculated using 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 calculate Perimeter of Parallelepiped given Volume, Side B and Side C, you need 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). With our tool, you need to enter the respective value for Volume of Parallelepiped, Side B of Parallelepiped, Side C of Parallelepiped, Angle Alpha of Parallelepiped, Angle Beta of Parallelepiped & Angle Gamma 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 Volume of Parallelepiped, Side B of Parallelepiped, Side C of Parallelepiped, Angle Alpha of Parallelepiped, Angle Beta of Parallelepiped & Angle Gamma of Parallelepiped. We can use 3 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*((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)

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