You may also like

problem icon

Multilink Cubes

If you had 36 cubes, what different cuboids could you make?

problem icon

Cereal Packets

How can you put five cereal packets together to make different shapes if you must put them face-to-face?

problem icon

Little Boxes

How many different cuboids can you make when you use four CDs or DVDs? How about using five, then six?

More Christmas Boxes

Stage: 2 Challenge Level: Challenge Level:1

Jason from Priory School, Dunstable says:

"If you cut 2 squares deep it will become a 6 x 6 base which I make as the biggest amount of space: 72 cubes. I worked this out using :

Length x Width x Height
6 x 6 x 2 = 72"

Christina (Marborough Primary, London) and Josh (Ampthill, Bedfordshire) agree with this answer.

Josh said, "At first I thought it would be best to cut out a 3x3 square at each corner, but that box only held 48 cubes. If you cut out a 2x2 square though, the box will hold 2x6x6 cubes which is 72. That is the most."