Question

5.A. Jonah filled a box and said its volume was 25 balls. Shandra filled the same box and said its volumen was 36 cubes. Explain how Jonah and Shandra could get different volumes for the same box. *

Answer 1

the balls are larger, or don't pack as tightly

Explanation:

The volume by either measure will depend on a couple of factors:

• the volume of the unit used (ball or cube)
• the way the units can be packed

In a rectangular space, such as a box, it may be easier to pack cubes than balls. So, more cubes of the same volume would fit simply because they can be packed closer together.

We aren't told the volume of either the cube or the ball, and we're not told the extent to which the packing is optimized.

Fewer balls may fit because their packing is not as well optimized as that of the cubes, or because each has a larger volume than the cube being used.