# 3D Shapes - Short Problems

### Weekly Problem 19 - 2008

##### Stage: 3 and 4 Challenge Level:

A wooden cube with edge length 12cm is cut into cubes with edge length 1cm. What is the total length of the all the edges of these centimetre cubes?

### Weekly Problem 25 - 2008

##### Stage: 3 and 4 Challenge Level:

An ordinary die is placed on a horizontal table with the '1' face facing East... In which direction is the '1' face facing after this sequence of moves?

### Weekly Problem 48 - 2008

##### Stage: 3 Short Challenge Level:

An ant is crawling in a straight line when he bumps into a one centimetre cube of sugar.If he climbs over it before before continuing on his intended route, how much does the detour add to the length of his journey?

### Weekly Problem 5 - 2009

##### Stage: 3 Short Challenge Level:

The net shown here is cut out and folded to form a cube. Which face is then opposite the face marked X?

### Weekly Problem 1 - 2010

##### Stage: 3 Short Challenge Level:

How many cubes can you see...

### Weekly Problem 18 - 2010

##### Stage: 3 Short Challenge Level:

Three faces of a $3x3$ cube are painted red, and the other three are painted blue. How many of the 27 smaller cubes have at least one red and at least one blue face?

### Weekly Problem 20 - 2010

##### Stage: 3 Short Challenge Level:

You have already used Magic Squares, now meet a Magic Octahedron...

### Weekly Problem 41 - 2010

##### Stage: 3 Short Challenge Level:

Can you make this solid with six triangular faces "Magic"?

### Weekly Problem 4 - 2014

##### Stage: 3 and 4 Challenge Level:

Weekly Problem 4 - 2014

### Weekly Problem 43 - 2014

##### Stage: 3 and 4 Challenge Level:

Weekly Problem 43 - 2014

### Weekly Problem 30 - 2016

##### Stage: 3 Short Challenge Level:

The base of a pyramid has n edges. What is the difference between the number of edges of the pyramid and the number of faces?