Parallelepiped Area and volume Calculator


Online Parallelepiped Area and volume Calculator: Calculate the volume and area of a Parallelepiped based on its 3 sides Length, width and height. Enter three unknowns in the form and press the CALCULATE button.

Table of contents:

What is a Parallelepiped?

Parallelepiped is a solid whose six faces are parallelograms. It is to the parallelogram what the cube is to the square and what the rectangular cuboid is to the rectangle.

The characteristics of the Parallelepiped

It has 6 sides:

The two horizontal faces are the bases.

The other four faces are called "side", the set of four assembled faces is called: prismatic surface.

It has 8 vertices and 12 edges: these are the edges of the faces that limit it, we also say "intersection of two planes"

As for the cube, the edges ending in the same vertex are perpendicular two by two, the opposite faces are parallel two by two and the faces having a common edge are perpendicular.

Each face being a rectangle, the opposite edges of the same face are parallel.

Two opposite faces have the same area;

Two opposite edges are parallel and of the same length.

Calculate the area of the Parallelepiped

To calculate the area corresponding to the surface of a parallelepiped, it suffices to add the areas corresponding to each of these faces (formula for calculating the area of a rectangle), namely:

The Length: a

The Width: c

The depth: b

2 faces whose area is equal to a x b (the top and the bottom of the parallelepiped).

2 faces whose area is equal to a x c (the front and rear faces of the parallelepiped).

2 faces whose area is equal to b x c (the left and right sides of the parallelepiped).

Hence the formula for calculating the area A of a parallelepiped:

A = 2 (a x b + a x c + b x c)

Calculate the volume of the Parallelepiped

The volume of a Parallelepiped corresponds to space it occupies in its environment.

We design :

The Length: a

The Width: c

The depth: b

Hence the formula:

the volume of the Parallelepiped V = a. b .c

Note: All dimensions must be expressed in the same unit of length, before performing a calculation!