SOLUTION: Amanda has a storage box in the shape of a rectangular prism. The box is 3 1/2 feet long,1 1/4 feet wide, and 3/4 foot tall. She will completely fill the box with cubes that are 1/

Algebra ->  Volume -> SOLUTION: Amanda has a storage box in the shape of a rectangular prism. The box is 3 1/2 feet long,1 1/4 feet wide, and 3/4 foot tall. She will completely fill the box with cubes that are 1/      Log On


   

Question 1079464: Amanda has a storage box in the shape of a rectangular prism. The box is 3 1/2 feet long,1 1/4 feet wide, and 3/4 foot tall. She will completely fill the box with cubes that are 1/4 foot long on each edge. What is the greatest number of cubes Amanda can put into the storage box?
Answer by KMST(5328) About Me  (Show Source):
You can put this solution on YOUR website!
The volume of a small cube that is 1%2F4foot on each edge,
in cubic feet is
%281%2F4%29%2A%281%2F4%29%2A%281%2F4%29=1%2F64
3%261%2F2=7%2F2=14%2F4 ,
1%261%2F4=5%2F4 .
A rectangular prism with edges measuring
3%261%2F2ft , 1%261%2F4ft and 3%2F4ft
has a volume in cubic feet of
%2814%2F4%29%2A%285%2F4%29%2A%283%2F4%29=210%2F64
210%2F64=210%2A%281%2F64%29 ,
so highlight%28210%29 small cubes will fit into the storage box.