SOLUTION: If the dimensions of a box is 30cm long, 30cm wide and 30cm high and the radius of each ball is 3cm. How many balls will be used to cover the bottom of the box and how many rows of

Algebra ->  Volume -> SOLUTION: If the dimensions of a box is 30cm long, 30cm wide and 30cm high and the radius of each ball is 3cm. How many balls will be used to cover the bottom of the box and how many rows of      Log On


   

Question 869263: If the dimensions of a box is 30cm long, 30cm wide and 30cm high and the radius of each ball is 3cm. How many balls will be used to cover the bottom of the box and how many rows of these balls will be needed to fill the box and how many in total will fit into the box.
I can calculate the volume of the box and the volume of each ball but the above has confused me. Volume of box is 27,000cm3 and the volume of each ball is 113.1cm3
Thanks
Answer by mananth(16946) About Me  (Show Source):
You can put this solution on YOUR website!
You should not calculate by volume basis if they are placed in rows and columns.
radius of ball is 3
so diameter is 6
In 1 row you can place 30/6 = 5 balls
same on the other side
so to cover the bottom
you need 5*5 = 25 balls
there will be 5 stacks
25*5 =125 balls.
125 balls will fill the box.