512 marbles are arrange to form a square. There is an equal number of marbles on each side of the square. How many marbles are there on each side of the square?
seriously please do not treat here as a place to be free solving, try first, plus, consodilate qns and ask at once please......i had been a little bored about same titiles
Originally posted by Ngml:512 marbles are arrange to form a square. There is an equal number of marbles on each side of the square. How many marbles are there on each side of the square?
For this question, the student will have to use Trial and error via a table diagram.
Let the amount of marbles on one side be A, and let the total amount of marbles be T.
In short, T = A X A X A
l__A__l__6__l__7__l__8__l
l__T__l_216_l_343_l_512_l
When A = 6, T = 6 X 6 X 6 = 216
When A = 7, T = 7 X 7 X 7 = 343
When A = 8, T = 8 X 8 X 8 = 512
Thus, there are 8 marbles on each side of the square.
Originally posted by Forbiddensinner:For this question, the student will have to use Trial and error via a table diagram.
Let the amount of marbles on one side be A, and let the total amount of marbles be T.
In short, T = A X A X A
l__A__l__6__l__7__l__8__l
l__T__l_216_l_343_l_512_l
When A = 6, T = 6 X 6 X 6 = 216
When A = 7, T = 7 X 7 X 7 = 343
When A = 8, T = 8 X 8 X 8 = 512
Thus, there are 8 marbles on each side of the square.
What???
A square has 4 sides. Why are you cube rooting 512 to get 8?
Even IF your method was correct (thought I doubt it), it should be more of x^4 = 512.
8 + 8 + 8 + 8 is wrong.
8 x 8 x 8 x 8 is wrong.
8 + 8 + 8 is wrong.
8 x 8 x 8 is wrong too.
Answer should be 512 minus 4, followed by divided by 4, and then plus 2.
Answer is 129.
Explaination below.
Y ............X..............Y
. .
.
X X
.
. .
Y ............X..............Y
Look carefully.
Y = The marble at each corner of the square = 1
Minus out the 4Y, which are the marbles at all four corners.
512 - 4Y = 512 - 4 = 508
This gives you 4X.
4X = 508
Then divide 4X by 4. This gives you X.
X = 127
Then add X + Y + Y to get the total marbles on one side. The answer will be the same for all sides of the square.
127 + 1 + 1 = 129
Correct me if I'm wrong, but I am 100% sure the solution provided by ForbiddenSinner is wrong.
Therefore answer = 129.
Originally posted by Dejomel:
What???
A square has 4 sides. Why are you cube rooting 512 to get 8?
Even IF your method was correct (thought I doubt it), it should be more of x^4 = 512.
8 + 8 + 8 + 8 is wrong.
8 x 8 x 8 x 8 is wrong.
8 + 8 + 8 is wrong.
8 x 8 x 8 is wrong too.
Answer should be 512 minus 4, followed by divided by 4, and then plus 2.
Answer is 129.
Explaination below.
Y ............X..............Y
. .
.
X X
.
. .
Y ............X..............YLook carefully.
Y = The marble at each corner of the square = 1
Minus out the 4Y, which are the marbles at all four corners.
512 - 4Y = 512 - 4 = 508
This gives you 4X.
4X = 508
Then divide 4X by 4. This gives you X.
X = 127
Then add X + Y + Y to get the total marbles on one side. The answer will be the same for all sides of the square.
127 + 1 + 1 = 129
Correct me if I'm wrong, but I am 100% sure the solution provided by ForbiddenSinner is wrong.
Therefore answer = 129.
i agreed with your answer.
Originally posted by Dejomel:
What???
A square has 4 sides. Why are you cube rooting 512 to get 8?
Even IF your method was correct (thought I doubt it), it should be more of x^4 = 512.
8 + 8 + 8 + 8 is wrong.
8 x 8 x 8 x 8 is wrong.
8 + 8 + 8 is wrong.
8 x 8 x 8 is wrong too.
Answer should be 512 minus 4, followed by divided by 4, and then plus 2.
Answer is 129.
Explaination below.
Y ............X..............Y
. .
.
X X
.
. .
Y ............X..............YLook carefully.
Y = The marble at each corner of the square = 1
Minus out the 4Y, which are the marbles at all four corners.
512 - 4Y = 512 - 4 = 508
This gives you 4X.
4X = 508
Then divide 4X by 4. This gives you X.
X = 127
Then add X + Y + Y to get the total marbles on one side. The answer will be the same for all sides of the square.
127 + 1 + 1 = 129
Correct me if I'm wrong, but I am 100% sure the solution provided by ForbiddenSinner is wrong.
Therefore answer = 129.
Think of it as a cube and you will see the logic.
Thank you Dejomel, you are correct.
BTW you can just use a calculator to find square and cube roots. Trial and error is not needed.