A right rectangular prism's edge lengths are 12 inches, 2 1/6 inches, and 4 inches. How many unit cubes with edge lengths of 2/3 inch can fit inside the prism?

324 cubes

Step-by-step explanation:

We calculate how many cubes will fit along each edge:

12 in : 2/3 in = 12 · 3/2 = 18 cubes

2 1/6 in : 2/3 in = 13/6 · 3/2 = 39/12 = 13/4 = 3 1/4 → 3 cubes

4 in : 2/3 in = 4 · 3/2 = 6 cubes

(18) (3) (6) = 324