Question

A rectangular prism with a volume of 3 cubic units is filled with cubes with side lengths of 1/4

how many 1/4 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

192

Explanation:

The volume of a prism is 3 cubic units. Dividing each cube into 1/4 size cubes means each small cube will have 1/64 cubic inches.

This means 64 1/4 cubes fit into 1 cube. So for 3 cubes, 3*64 = 192 cubes.