Cuboids

A cuboid  with measurements marked w, l and hA cuboid is a box-like shape. It has six rectangular faces. The faces opposite each other are equal.
curriculum-key-fact
The volume of a cuboid = width × length × height

Remember that volume is measured in units cubed: mm3, cm3, m3 etc.

To calculate the surface area of a cuboid you calculate the area of each face and add them together.

Remember that area is measured in units squared: mm2, cm2, m2 etc.

Question

Calculate the volume and surface area of this wooden box which measures 20 cm by 35 cm by 15 cm.

A wooden box measuring 15 cm x 35 cm x 20 cm

\text{Volume = width} \times \text{length} \times \text{height}

1. Calculate the volume of the wooden box:

Volume = 20 × 35 × 15 = 10,500 cm3

2. Calculate the surface area by working out the area of each face and adding them together:

The area of the base = 35 × 20 = 700 cm2

The area of the top is the same = 700 cm2

The area of the front = 35 × 15 = 525 cm2

The area of the back is the same = 525 cm2

The area of the left = 15 × 20 = 300 cm2

The area of the right is the same = 300 cm2

Total surface area = (2 × 700) + (2 × 525) + (2 × 300) = 3,050 cm2