Question

a rectangular prism with a volume of 4 cubic units is filled with cubes with the side lengths of 1/3. How many 1/3 unit cubes does it take to fill the prism?

Answer 1

192

Explanation:

Step 1:

The volume of the prism is 3 cubic units. This means the prism can be filled with 3 unit cubes.

Step 2:

How many cubes with 1/4-unit side lengths can fit in a cube with 1-unit side lengths?

Step 3:

There are 64 cubes with 1/4-unit side lengths in 1 cubic unit.

Step 4:

Since the rectangular prism is made up of 3 cubic units, we would have 3*64 total cubes with 1/4-unit side lengths.

3*64=192

Step 5:

It takes 192 of the 1/4 unit cubes to fill the prism.

Answer 2

I think it’s 108 because volume of each cube is 1/27 (1/3 x 1/3 x 1/3) and then I did 4 divided by 1/27 which turns out to be 4 x27 which is 108. Hope this helps!!