Question

A rectangular prism with a volume of 5 cubic units is filled with cubes with side lengths of 1/3 units. How many 1/3 ?unit cubes does it take to fill the prism?

Answer 1

Answer:

135

Step-by-step explanation:

The little cubes with side length 1/3 unit have volume (1/3 unit)³ or (1/27 unit)³.  Divide the prism volume (5 units³) by (1/27 units³) to determine how many little cubes are required to fill the prism:

5 units³

--------------- = 135 little cubes.

1/27  unit

Note:  This assumes that the dimensions of the prism are such that there is no wasted space when all these little cubes are packed inside.  For example, if the width of the prism were 3, then we assume that 3 little cubes would fit that particular dimension.