try it is easy
6 identical dice are glued together.what is the sum of all the number of dots on the faces that are glued together,if the sum of the number of dots on opposite faces of each dice is 7?
2006-08-30 21:11:47 · 15 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
assuming all dices are glued in a row
sum of all dots on all dices=6(6+5+4+3+2+1)
6*21=126
since no of opposite side pairs=13
sum of dots of these pairs=13*7=91
sum of dots of faces glued=126-91=35
2006-08-30 22:06:20 · answer #1 · answered by CHIMPU 2 · 1⤊ 0⤋
You are right, conventional dice have the opposing sides paired (1,6) (2,5) (3,4) so the sum of the numbers on the opposite faces is 7. But,you didn't say how they were glued together. You can glue them together in several ways. Did you mean that they were glued together in a row?
If you assume this, then you have 4 dice in the middle of the "train" which means that you have 4x7=28 dots on the glued faces but you also have the two end dice. If you assume they are glued together with identical orientation then this would give another 7 so the total would be simply 5x7=35. If you don't assume this then the answer could be anything from 30 to 40. ie. 28+x, where x = 2 to 12
2006-08-30 21:59:39 · answer #2 · answered by Jimbo 5 · 0⤊ 1⤋
If I understand your question right:
â - dice.
â â â â â â
â+7 +7â+7 +7â+7 +7â+7 +7â+7 +7â
â +14 â +14 â +14 â +14 â +14 â
= 14 x 5
= 70 dots.
(b)
If you mean the total of dots of the two faces that are glued together is seven dots then:
â â â â â â
â +7 â +7 â +7 â +7 â +7 â
= 7 x 5
= 35 dots.
2006-08-30 23:18:20 · answer #3 · answered by Brenmore 5 · 0⤊ 1⤋
The sum of the number of dots on not glued dice is 6 x 7 x 3
By gluing 6 dice you lose 5 x 7 dots.
So the total is (18 - 5) x 7 = 91. That's it
Th
2006-08-30 23:43:04 · answer #4 · answered by Thermo 6 · 0⤊ 1⤋
Assume that they are glued together in a row, so 5 pairs of faces, where only 4 pairs are opposite of each other, some more info needed.
If they are glued in a circle, so 6 pairs of opposite faces were glued together, so sum = 6 x 7 = 42.
2006-08-30 21:35:36 · answer #5 · answered by back2nature 4 · 0⤊ 1⤋
Well, you can glue the blocks together like ABCDEF and you can have A have the 1 sticking out and F have the 6 sticking out. Then, have all the dice going the same direction and you will get 7+7+7+7+7 or 35
2006-08-30 22:09:14 · answer #6 · answered by Tom 2 · 0⤊ 1⤋
5m+n
Where m is number of dots on the opposite side of a side has 1 dot.
n is number of dots on the opposite side of a side has 2 dots
if m=6 &n=5 ( I'm not sure) then we will have 35.
2006-08-30 21:42:45 · answer #7 · answered by mohamed.kapci 3 · 0⤊ 1⤋
You did not mention how they are glued... side by side in one line or in two rows of three dice each. Its truly very confusing.
2006-08-30 21:17:11 · answer #8 · answered by Suraj 3 · 0⤊ 1⤋
84
2006-08-30 21:20:13 · answer #9 · answered by Anonymous · 0⤊ 1⤋
Jimbo is right, please review his answer because you don't know the orientation of the dice forming the ends
2006-08-31 01:19:42 · answer #10 · answered by motardo_man 2 · 0⤊ 1⤋