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

Formula Used:

\[ S_b = \frac{P}{4} - S_a - S_c \]

Perimeter of Parallelepiped (P):

Side A of Parallelepiped (S_a):

Side C of Parallelepiped (S_c):

Side B of Parallelepiped (S_b):

Unit Converter ▲

Unit Converter ▼

From:	To:

1. What is Side B of Parallelepiped?

Side B of Parallelepiped is the length of any one out of the three sides from any fixed vertex of the Parallelepiped. It is one of the three fundamental dimensions that define the shape of a parallelepiped.

2. How Does the Calculator Work?

The calculator uses the formula:

\[ S_b = \frac{P}{4} - S_a - S_c \]

Where:

\( S_b \) — Side B of Parallelepiped (m)
\( P \) — Perimeter of Parallelepiped (m)
\( S_a \) — Side A of Parallelepiped (m)
\( S_c \) — Side C of Parallelepiped (m)

Explanation: The formula calculates Side B by subtracting the known sides A and C from one-fourth of the total perimeter of the parallelepiped.

3. Importance of Calculating Side B

Details: Calculating Side B is essential for determining the complete dimensions of a parallelepiped, which is crucial for volume calculations, surface area computations, and various engineering applications involving 3D shapes.

4. Using the Calculator

Tips: Enter the perimeter in meters, Side A in meters, and Side C in meters. All values must be valid positive numbers.

5. Frequently Asked Questions (FAQ)

Q1: What is a parallelepiped?
A: A parallelepiped is a three-dimensional figure formed by six parallelograms. It's a polyhedron with parallelogram faces.

Q2: Why divide the perimeter by 4 in the formula?
A: The perimeter of a parallelepiped is the sum of all its edges. Since there are 4 edges of each type (A, B, and C), dividing by 4 gives the sum of one edge of each type.

Q3: Can this formula be used for any type of parallelepiped?
A: Yes, this formula applies to all parallelepipeds regardless of whether they are right or oblique, as long as the perimeter and two sides are known.

Q4: What are the units of measurement for the inputs and outputs?
A: The calculator uses meters for all measurements, but any consistent unit of length can be used as long as all inputs are in the same unit.

Q5: What if the calculated Side B is negative?
A: A negative result indicates that the input values are inconsistent with a valid parallelepiped. Please verify your input values.