SOLUTION: Sonya packs wooden cubes, side by side, in boxes shaped like rectangular prisms. Each cube measures 1 inch on each side. She can pack 75 cubes in one of the boxes. What is the volu

Algebra ->  Volume -> SOLUTION: Sonya packs wooden cubes, side by side, in boxes shaped like rectangular prisms. Each cube measures 1 inch on each side. She can pack 75 cubes in one of the boxes. What is the volu      Log On


   

Question 1055545: Sonya packs wooden cubes, side by side, in boxes shaped like rectangular prisms. Each cube measures 1 inch on each side. She can pack 75 cubes in one of the boxes. What is the volume of the box?. email: almaromero1969@yahoo.com

Answer by Fombitz(32388) About Me  (Show Source):
You can put this solution on YOUR website!
Since the number 75 is a composite number, you could pack the cubes in a 5x5x3 configuration.
Since each cube is an inch, the total volume would be 5%2A5%2A3=75in%5E3.
So in this configuration, there is no empty space.
If the number of cubes was a prime number, you would need additional empty volume to pack the cubes.