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

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

✖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 given Perimeter, Side B and Side C [S_a]

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
Perimeter of Parallelepiped - (Measured in Meter) - Perimeter of Parallelepiped is the total distance around the edge 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.

STEP 1: Convert Input(s) to Base Unit

Perimeter of Parallelepiped: 240 Meter --> 240 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

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_a = P/4-S_b-S_c --> 240/4-20-10

Evaluating ... ...

S_a = 30

STEP 3: Convert Result to Output's Unit

30 Meter --> No Conversion Required

FINAL ANSWER

30 Meter <-- Side A of Parallelepiped

(Calculation completed in 00.020 seconds)

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

LaTeX Go

Side A of Parallelepiped = Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped
S_a = P/4-S_b-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 A of Parallelepiped given Perimeter, Side B and Side C?

Side A of Parallelepiped given Perimeter, Side B and Side C calculator uses Side A of Parallelepiped = Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped to calculate the Side A of Parallelepiped, The Side A of Parallelepiped given Perimeter, Side B 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 B and side C of Parallelepiped. Side A of Parallelepiped is denoted by S_a symbol.

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

FAQ

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

The Side A of Parallelepiped given Perimeter, Side B 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 B and side C of Parallelepiped and is represented as S_a = P/4-S_b-S_c or Side A of Parallelepiped = Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped. Perimeter of Parallelepiped is the total distance around the edge 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.

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

The Side A of Parallelepiped given Perimeter, Side B 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 B and side C of Parallelepiped is calculated using Side A of Parallelepiped = Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped. To calculate Side A of Parallelepiped given Perimeter, Side B and Side C, you need Perimeter of Parallelepiped (P), Side B of Parallelepiped (S_b) & Side C of Parallelepiped (S_c). With our tool, you need to enter the respective value for Perimeter of Parallelepiped, Side B 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 A of Parallelepiped?

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

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

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