Åk 6–9
3.1 Cuboids and Cubes
A cuboid can described simply as a box with six sides

Examples of object in everyday life which have the form of a cuboid are milk boxes and bricks.

A cube is a variant of a cuboid.  In a cube all six sides have the same size.

An example of a cube can be a dice (where the corners are not rounded).

Calculating Volume
You could say that the volume for a cube with a side of five centimeters is equivalent to 125 cubic centimeter sized cubes.

In total, its volume is 5 cm · 5 cm · 5 cm = 125 cm³ or 5 · 25 cm³ =
= 125 cm³

We can therefore say that a cuboids volume is:

Base area (B) = length (l) · width (w)


A juice carton has the measurements as in the picture.  Calculate the volume of the juice carton.

Volume (V) = Base Area (B) · height (h)

Base area = 7 cm · 7 cm = 49 cm2

Volume = 49 cm2 · 20 cm = 980 cm3 

V = 980 cm3 = 0.980 dm3 ≈ 1 liter

Foto: Fredrik Enander