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If the area of a nickel is 353 mm2, Tell about how many nickels would cover a square tabletop that measures 1 square meter.

 

 

Then, tell the cost of the coins. (Nickels=5 cents.)

 May 5, 2016

Best Answer 

 #1
avatar+37146 
+10

1 sq meter is 1000mm x 1000 mm

 

1000 x 1000  / 353 = 2832.86   (if they were SQUARE and not round)

 

diameter of a nickel  is   353/pi = r^2   r = 10.6mm     Diameter is  21.2    1000/ (21.2) = 47 nickles to a side    47 x 47 = 2209 nickles  ($110.45)

 May 6, 2016
edited by ElectricPavlov  May 6, 2016
 #1
avatar+37146 
+10
Best Answer

1 sq meter is 1000mm x 1000 mm

 

1000 x 1000  / 353 = 2832.86   (if they were SQUARE and not round)

 

diameter of a nickel  is   353/pi = r^2   r = 10.6mm     Diameter is  21.2    1000/ (21.2) = 47 nickles to a side    47 x 47 = 2209 nickles  ($110.45)

ElectricPavlov May 6, 2016
edited by ElectricPavlov  May 6, 2016
 #2
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1 meter=1,000mm

1 square meter=1,000 x 1,000=1,000,000mm^2

1,000,000 / 353 =2,833 nickels in 1 square meter.

2,833 x .05 =$141.65 Total value of 2,833 nickels.

 May 6, 2016
 #3
avatar+37146 
0

...as an addendum to EP above..... If you 'overlap'  (more correctly: 'OFFSET') the nickles row by row, you can get more of them on the table top, but STILL not 2832 of them but MORE than 2209 of them....not sure how to calculate this though.....will se if I can come up with a method.....

 May 6, 2016
 #4
avatar+37146 
+10

OK.....did a little math and drawing pictures and came up with 50 rows of nickles (actually 50.55)  to a side if you offset the rows so the nickles stack more closely

Ignoring the .55  nicklle in the solution

50 x 50 = 2500 nickles   maximum    = $125.00

 May 6, 2016

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