Through the Dragon's Eye/Mending the Veetacore

At the start of this challenge, the three Veetons will appear on the screen, circling around the Veetacore as Gorwen says from off-screen "There are only three more Veetons to fit. The ones we have found on the quest. The cube must go first."; once you've pushed Space to continue he will ask you nine questions about the shapes of the Veetons (the correct answers to which are indicated in bold, and after each correct answer he shall say "Well done!"). The pitch of the Veetons' circling sound shall also increase - and once you have pressed Space to continue, Gorwen shall ask you the next question:

How many corners has a cube? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many surfaces has a cube? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many edges has a cube? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many corners has a cylinder? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many surfaces has a cylinder? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many edges has a cylinder? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many corners has a sphere? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many surfaces has a sphere? 0 1 2 3 4 5 6 7 8 9 10 11 12

How many edges has a sphere? 0 1 2 3 4 5 6 7 8 9 10 11 12

Once you have answered the last question correctly, each Veeton shall flash as it circles to the top of the Veetacore and lowers itself into it; Gorwen will then say "You're doing well! The Veetacore is mended. Now Boris must say the spell.". The game will now automatically go on to its eleventh challenge.