### NRICH PROBLEM SOLVING CUBES

Here are some pictures of 3D shapes made from cubes. Building Blocks Age 7 to 11 Challenge Level: The “wall” has to be only one cube thick. What would happen if you had different-sized block of cheese to start with? What happens when you add pairs of the numbers together? In the first example, I can see nine faces – there are four lots of two faces around the sides, then one face at the top. Find all the shapes that five-year-old Wag Worms can be.

Using any shape of single cube thickness, what is the highest total you can make? I put the shape down on my net:. Can you make them to check whether you had imagined them correctly? Cubist Cuts Age 11 to 14 Challenge Level: Five Coins Ben has five coins in his pocket. We need to wrap up this cube-shaped present, remembering that we can have no overlaps. I’ve made some cubes and some cubes with holes in.

Holes Age 5 to 11 Challenge Level: 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.

# Six Numbered Cubes :

Then click on the button below: Here are the six faces of a cube – in no particular order: Can you find all the ways that this can be done?

You will still have to visualise the cube folded up! I saw that the 4 pointed star was next to one of the shapes I had put down.

How many other arrangements of four cubes can you find? cubea

Can you make these shapes yourself? Pebbles Place four pebbles on the sand in the form of a square.

You may also like Christmas Presents We need to wrap up this cube-shaped present, remembering that we can have cube overlaps. Investigate the area of ‘slices’ cut off this cube of cheese.

## Cubes Here and There

Can you use small coloured cubes to make a 3 by 3 by 3 cube so that each face of the bigger cube contains one of each colour? It might help to write or draw each arrangement to keep track of the ways that you have already tried.

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. You cuubes also like I’m Eight Find a great variety of problej of asking questions which make 8. She wants to fit them together to make a cube so that each colour shows on each face just once. Many Ideas with a Few Cubes Age 5 to 11 This short article outlines a few activities which make use of interlocking cubes.

## Arranging Cubes

Keep adding as few pebbles as necessary to double the area. Here is her work: For example, I could turn the second arrangement so that the red cube is pointing to the left instead – would this count as a different arrangement? Can zolving make their lines the same length? I have forgotten the number of the combination of the lock on my briefcase.

Make a chair and table out of interlocking cubes, making sure that the chair fits under the table! Place four pebbles on the sand in the form soolving a square.

The way I did it is I imagined it was a cube, and I put them where they would go. A 3x3x3 cube may be reduced to unit cubes in six saw cuts. Make a tower using one of each colour. Try with four fences, then five, then six etc. Can you match the cards? Stairs Age 5 to 11 Challenge Level: In the second example, I can see eight faces – one at each end, then three lots of two faces.

How can you be sure this is the highest total whatever the shape?

In this activity we will be using cubes to make different arrangements. Can you create more models that follow these rules? This challenge invites you to explore the difference in the number of small cubes I’ve used.

In this investigation, you must try to make houses using cubes.