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

✖Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped.ⓘ Perimeter of Parallelepiped [P]			+10% -10%
✖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 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%

✖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 given Perimeter, Side A and Side C [S_b]

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

STEP 0: Pre-Calculation Summary

Formula Used

Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped
S_b = P/4-S_a-S_c
This formula uses 4 Variables

Variables Used

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.
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 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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Parallelepiped: 240 Meter --> 240 Meter No Conversion Required
Side A of Parallelepiped: 30 Meter --> 30 Meter No Conversion Required
Side C of Parallelepiped: 10 Meter --> 10 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_b = P/4-S_a-S_c --> 240/4-30-10

Evaluating ... ...

S_b = 20

STEP 3: Convert Result to Output's Unit

20 Meter --> No Conversion Required

FINAL ANSWER

20 Meter <-- Side B of Parallelepiped

(Calculation completed in 00.020 seconds)

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Created by Diwanshi 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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< Side of Parallelepiped Calculators

Side A of Parallelepiped

LaTeX Go 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)))

Side B of Parallelepiped

LaTeX Go 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)))

Side C of Parallelepiped

LaTeX Go Side C 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)))

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

LaTeX Go Side A of Parallelepiped = (Total Surface Area of Parallelepiped-Lateral Surface Area of Parallelepiped)/(2*Side C of Parallelepiped*sin(Angle Beta of Parallelepiped))

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

LaTeX Go

Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped
S_b = P/4-S_a-S_c

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 Side B of Parallelepiped given Perimeter, Side A and Side C?

Side B of Parallelepiped given Perimeter, Side A and Side C calculator uses Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped to calculate the Side B of Parallelepiped, The Side B of Parallelepiped given Perimeter, Side A and Side C formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using perimeter, side A and side C of Parallelepiped. Side B of Parallelepiped is denoted by S_b symbol.

How to calculate Side B of Parallelepiped given Perimeter, Side A and Side C using this online calculator? To use this online calculator for Side B of Parallelepiped given Perimeter, Side A and Side C, enter Perimeter of Parallelepiped (P), Side A of Parallelepiped (S_a) & Side C of Parallelepiped (S_c) and hit the calculate button. Here is how the Side B of Parallelepiped given Perimeter, Side A and Side C calculation can be explained with given input values -> 20 = 240/4-30-10.

FAQ

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

The Side B of Parallelepiped given Perimeter, Side A and Side C formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using perimeter, side A and side C of Parallelepiped and is represented as S_b = P/4-S_a-S_c or Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped. Perimeter of Parallelepiped is the total distance around the edge of the Parallelepiped, Side A 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.

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

The Side B of Parallelepiped given Perimeter, Side A and Side C formula is defined as the length of any one out of the three sides from any fixed vertex of the Parallelepiped, calculated using perimeter, side A and side C of Parallelepiped is calculated using Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped. To calculate Side B of Parallelepiped given Perimeter, Side A and Side C, you need Perimeter of Parallelepiped (P), Side A of Parallelepiped (S_a) & Side C of Parallelepiped (S_c). With our tool, you need to enter the respective value for Perimeter of Parallelepiped, Side A of Parallelepiped & Side C 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 Side B of Parallelepiped?

In this formula, Side B of Parallelepiped uses Perimeter of Parallelepiped, Side A of Parallelepiped & Side C of Parallelepiped. We can use 2 other way(s) to calculate the same, which is/are as follows -

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)))
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)))

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