Side C of Parallelepiped given Perimeter, Side A and Side B 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 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 given Perimeter, Side A and Side B [S_c]

⎘ Copy

👎

Formula

✖

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

Formula

`"S"_{"c"} = "P"/4-"S"_{"a"}-"S"_{"b"}`

Example

`"10m"="240m"/4-"30m"-"20m"`

Calculator

LaTeX

Reset

👍

Download Parallelepiped Formula PDF PDF Image

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

STEP 0: Pre-Calculation Summary

Formula Used

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

Variables Used

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.
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.

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 B of Parallelepiped: 20 Meter --> 20 Meter No Conversion Required

STEP 2: Evaluate Formula

Substituting Input Values in Formula

S_c = P/4-S_a-S_b --> 240/4-30-20

Evaluating ... ...

S_c = 10

STEP 3: Convert Result to Output's Unit

10 Meter --> No Conversion Required

FINAL ANSWER

10 Meter <-- Side C of Parallelepiped

(Calculation completed in 00.004 seconds)

You are here -

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

Credits

Created by Divanshi Jain

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

Divanshi Jain has created this Calculator and 300+ more calculators!

Verified by Dhruv Walia

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

Dhruv Walia has verified this Calculator and 400+ more calculators!

< 9 Side of Parallelepiped Calculators

Side A of Parallelepiped

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

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

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 B of Parallelepiped given Lateral Surface Area

Go 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)))

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

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 C of Parallelepiped given Total Surface Area and Lateral Surface Area

Go Side C 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 given Perimeter, Side B and Side C

Go Side A of Parallelepiped = Perimeter of Parallelepiped/4-Side B of Parallelepiped-Side C of Parallelepiped

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

Go Side B of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side C of Parallelepiped

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

Go Side C of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side B of Parallelepiped

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

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

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

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

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

FAQ

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

The Side C of Parallelepiped given Perimeter, Side A and Side B 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 B of Parallelepiped and is represented as S_c = P/4-S_a-S_b or Side C of Parallelepiped = Perimeter of Parallelepiped/4-Side A of Parallelepiped-Side B 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 B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped.

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

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

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

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

Home

FREE PDFs

🔍 Search