3D Shapes - Short Problems

A collection of short Stage 3 problems on 3D shapes



Weekly Problem 19 - 2008

Stage: 3 and 4 Challenge Level: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

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: Challenge Level:1

How many cubes can you see...

Weekly Problem 18 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

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: Challenge Level:1

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

Weekly Problem 41 - 2010

Stage: 3 Short Challenge Level: Challenge Level:1

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

Weekly Problem 4 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 4 - 2014

Weekly Problem 43 - 2014

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 43 - 2014

Weekly Problem 41 - 2015

Stage: 3 and 4 Challenge Level: Challenge Level:1

Weekly Problem 41 - 2015

Weekly Problem 51 - 2015

Stage: 4 Challenge Level: Challenge Level:3 Challenge Level:3 Challenge Level:3

Weekly Problem 51 - 2015