### Cereal Packets

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

### Little Boxes

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

### Christmas Presents

We need to wrap up this cube-shaped present, remembering that we can have no overlaps. What shapes can you find to use?

# Multilink Cubes

##### Stage: 2 Challenge Level:

Take $36$ cubes.

How many different blocks can you make? For example $6$ by $6$ by $1$, or $3$ by $6$ by $2$, or $3$ by $3$ by $4$, or $2$ by $3$ by $6$, or $2$ by $2$ by $9$, or $2$ by $1$ by $18$.

Just how many different ones can you find?

You could also try growing different pyramids of cubes which in turn generate different sequences of number. Look at the pictures below this table and see if you can work out how the table has been filled in.

• Can you continue the table?
• What patterns do you notice?
• Can you explain why these patterns occur?

The NRICH Project aims to enrich the mathematical experiences of all learners. To support this aim, members of the NRICH team work in a wide range of capacities, including providing professional development for teachers wishing to embed rich mathematical tasks into everyday classroom practice. More information on many of our other activities can be found here.
{"extraction_info": {"found_math": true, "script_math_tex": 0, "script_math_asciimath": 0, "math_annotations": 0, "math_alttext": 0, "mathml": 0, "mathjax_tag": 0, "mathjax_inline_tex": 19, "mathjax_display_tex": 0, "mathjax_asciimath": 0, "img_math": 0, "codecogs_latex": 0, "wp_latex": 0, "mimetex.cgi": 0, "/images/math/codecogs": 0, "mathtex.cgi": 0}, "config": {"markdown_headings": true, "markdown_code": true, "boilerplate_config": {"ratio_threshold": 0.18, "absolute_threshold": 10, "end_threshold": 15, "enable": true}, "remove_buttons": true, "remove_image_figures": true, "remove_link_clusters": true, "table_config": {"min_rows": 2, "min_cols": 3, "format": "github"}, "remove_chinese": true, "remove_edit_buttons": true, "extract_latex": true}, "english_confidence": 0.9430958032608032, "perplexity_flag": "middle"}