08 Apr '20 10:50>
There's always a mathematical puzzle in the Saturday times which I like to have a go at.
This weeks is about making towers out of standard dice.
Essentially the question is how many towers of equal height can be constructed so that the visible pip count equals exactly 700.
Well I couldn't work iit out so I looked at the answer which was six towers of eight dice each.
Now my logic is this:-
For the first 7 dice in the tower the visible pips are 14(all opposite sides add up to seven.)
For the eighth dice the total is 20(14 plus a 6 on the top)
7*14 + 20 =118.
118 *6 = 708 which is not "exactly" 700.
Am I missing something?
This weeks is about making towers out of standard dice.
Essentially the question is how many towers of equal height can be constructed so that the visible pip count equals exactly 700.
Well I couldn't work iit out so I looked at the answer which was six towers of eight dice each.
Now my logic is this:-
For the first 7 dice in the tower the visible pips are 14(all opposite sides add up to seven.)
For the eighth dice the total is 20(14 plus a 6 on the top)
7*14 + 20 =118.
118 *6 = 708 which is not "exactly" 700.
Am I missing something?