Jack has 20 unit cubes. How many rectangular prisms with different sized bases can he build with the cubes?

Jack can form four rectangular prisms with 20 unit cubes.

Step-by-step explanation:

Number of unit cubes Jack has = 20

Factors of 20 = 1, 2, 4, 5, 10, 20

The possible dimensions of a rectangular prism that can be formed by these unit cubes may be,

1 * 1 * 20 (One cube at the base)

1 * 2 * 10 (2 cubes at the base)

1 * 4 * 5 (4 cubes at base in a single row)

2 * 2 * 5 (4 cubes at the base with 2 cubes in length and 2 cubes in width)

Therefore, Jack can form four rectangular prisms with 20 unit cubes.