Cuboids and Cubes

Cuboids

A cuboid is a shape with 6 faces, 12 edges and 8 vertices.

Volume = Length x Height x Breadth

Length = Volume / (Height x Breadth)

Height = Volume / (Length x Breadth)

Breadth = Volume / (Length x Height)

Example:

Length = 14cm

Height = 6cm

Breadth = 3cm

Find the volume of this cuboid.

Volume = L x H x B

Volume = 14cm x 6cm x 3cm = 252cm³

A cube is a cuboid which has all sides of the same length.

Height = Length = Breadth, in a cube

Therefore, calculating the perimeter, surface area and volume of this cuboid is different.

Perimeter = 12 x Side

Surface Area = 6 x Side²

Volume = Side³

Example:

Find the perimeter of a cube with sides of 4cm in length.

Perimeter of a cube = 12 x Side

Side = 4cm

Perimeter = 12 x 4cm = 48cm