How many different rectangular prisms can be made using exactly 12 cubes?

Answer 1

To determine the number of different rectangular prisms that can be made using exactly 12 cubes, we need to find all the possible combinations of dimensions that result in a volume of 12. The factors of 12 are 1, 2, 3, 4, 6, and 12. Each factor represents a possible dimension for the rectangular prism. Therefore, there are 6 different rectangular prisms that can be made using exactly 12 cubes.

Answer 2

2 prism

Answer 3

Factors of 12 (1,2 3, 4, 6, 12)

Combinations for 12 ( 1x2x6, 1x3x4, 1x12x1, 2x2x3) so 4 different

or if you want to include rotation:

1x2x6 has 3 positions of base

1x3x4 has 3 positions of base

1x12x1 has 2 positions of base

2x2x3 has 2 positions of base so total 10