Question

The base of a rectangular prism is made up of 30 unit cubes. The rectangular prism has 9 layers of unit cubes.

What is the volume of the rectangular prism? Enter the answer in the box.

Answer 1

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

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.