The volume of each of the plastic bead is determine by multiplying the length, width, and height of the prism which are all equal to 1 in. The volume is therefore equal to 1 in³. The total volume of the 12 plastic beads is 12 in³. To determine the number of rectangular prisms formed, we just have to combine numbers with product of 12. These are,
Height = 1 in 12 x 1 x 1 = 12 in³
6 x 2 x 1 = 12 in³
4 x 3 x 1 = 12 in³
Height = 2 in
6 x 1 x 2 = 12 in³
2 x 3 x 2 = 12 in³
height = 3 in
2 x 2 x 3 = 12 in³
Height = 4 in
3 x 1 x 4 = 12 in³
Thus, the answer is 7.
