Water, Water, Everywhere

With your randomly assigned partner, please go to the designated whiteboard, and discuss this problem!

NOTE

Use these rules (or protocol) for your discussion:

1. Only one person may have a marker within a group of two.
2. The person who is holding a marker cannot talk.

Here is the problem:

A container in the shape of a cube has dimensions 4 cm by 4 cm by 4 cm. The container is sitting on a horizontal table on one of its faces and is filled with water to a depth of 2 cm. In $c{m}^3$, what is the volume of the water in the container?

SOLUTION

Here are a couple of possible solutions:

Next steps

You just completed the first question of the 2024 edition of the Canadian Intermediate Mathematics Contest. Now sign up to write the 2025 edition of the CIMC!

Do you already know that you might want to apply to an American college or university? If so, it’s a great idea to try writing the AMC 10 contest too!