Question

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

Answer 1

Answer:

It takes 135 of the 1/3 unit cubes to fill the prism.

Step-by-step explanation:

The volume of the prism is 5 cubic units. This means the prism can be filled with five 1×1×1 unit cubes

How many cubes with 1/3 unit side lengths can fit in a cube with 1-unit side lengths?

There are 27 cubes with 1/3 unit side lengths in 1 cubic unit.

Since the rectangular prism is made up of 5 cubic units, we would have 5×27 total cubes with 1/3 unit side lengths.

It takes 135 of the 1/3 unit cubes to fill the prism.