Boxed In

A box has faces with areas 3, 12 and 25 square centimetres. What is the volume of the box?
Exploring and noticing Working systematically Conjecturing and generalising Visualising and representing Reasoning, convincing and proving
Being curious Being resourceful Being resilient Being collaborative

Problem

 

Image
Boxed In

 

The diagram shows a rectangular box (a cuboid).

The areas of the faces are $3$, $12$ and $25$ square centimetres.

What is the volume of the box?

 

 

The areas of the faces of a cuboid are p, q and r.

What is the volume of the cuboid in terms of p, q and r?