A 3x3x3 solid can be filled with three copies of a pentacube and two copies of a hexacube.

Below is a catalog of the pentacube/hexacube pairs for which solutions exist. The catalog links to solution drawings whenever there are three or fewer solutions. For example, to see the two solutions for three P-pentacubes and two Q-hexacubes, click the solution drawings link. In the bottom half of the linked window you will see a frame for each solution. Within the frame you can click on the next (or previous) link to add (or remove) a piece from the drawing.
1: 3 P-pentacubes, 2 E-hexacubes
1 solution

3×   2×
solution drawings
2: 3 P-pentacubes, 2 H-hexacubes
1 solution

3×   2×
solution drawings
3: 3 P-pentacubes, 2 R-hexacubes
1 solution

3×   2×
solution drawings
4: 3 P-pentacubes, 2 U3-hexacubes
1 solution

3×   2×
solution drawings
5: 3 P-pentacubes, 2 L1r-hexacubes
1 solution

3×   2×
solution drawings
6: 3 P-pentacubes, 2 P3-hexacubes
1 solution

3×   2×
solution drawings
7: 3 P-pentacubes, 2 W1-hexacubes
1 solution

3×   2×
solution drawings
8: 3 T-pentacubes, 2 E-hexacubes
1 solution

3×   2×
solution drawings
9: 3 T-pentacubes, 2 O-hexacubes
1 solution

3×   2×
solution drawings
10: 3 T-pentacubes, 2 Q-hexacubes
1 solution

3×   2×
solution drawings
11: 3 T-pentacubes, 2 U1-hexacubes
1 solution

3×   2×
solution drawings
12: 3 V-pentacubes, 2 E-hexacubes
1 solution

3×   2×
solution drawings
13: 3 V-pentacubes, 2 O-hexacubes
1 solution

3×   2×
solution drawings
14: 3 V-pentacubes, 2 Q-hexacubes
1 solution

3×   2×
solution drawings
15: 3 V-pentacubes, 2 Q14-hexacubes
1 solution

3×   2×
solution drawings
16: 3 V-pentacubes, 2 F1-hexacubes
1 solution

3×   2×
solution drawings
17: 3 V-pentacubes, 2 Q4d-hexacubes
1 solution

3×   2×
solution drawings
18: 3 V-pentacubes, 2 S14-hexacubes
1 solution

3×   2×
solution drawings
19: 3 Z-pentacubes, 2 E-hexacubes
1 solution

3×   2×
solution drawings
20: 3 Z-pentacubes, 2 O-hexacubes
1 solution

3×   2×
solution drawings
21: 3 Z-pentacubes, 2 Q-hexacubes
1 solution

3×   2×
solution drawings
22: 3 Z-pentacubes, 2 U3-hexacubes
1 solution

3×   2×
solution drawings
23: 3 Z-pentacubes, 2 P5-hexacubes
1 solution

3×   2×
solution drawings
24: 3 Z-pentacubes, 2 W1-hexacubes
1 solution

3×   2×
solution drawings
25: 3 L1-pentacubes, 2 Pb3-hexacubes
1 solution

3×   2×
solution drawings
26: 3 L4-pentacubes, 2 P5-hexacubes
1 solution

3×   2×
solution drawings
27: 3 L4-pentacubes, 2 Pb5-hexacubes
1 solution

3×   2×
solution drawings
28: 3 P-pentacubes, 2 Q-hexacubes
2 solutions

3×   2×
solution drawings
29: 3 P-pentacubes, 2 Q4v-hexacubes
2 solutions

3×   2×
solution drawings
30: 3 P-pentacubes, 2 P5-hexacubes
2 solutions

3×   2×
solution drawings
31: 3 V-pentacubes, 2 FatA-hexacubes
2 solutions

3×   2×
solution drawings
32: 3 V-pentacubes, 2 U3-hexacubes
2 solutions

3×   2×
solution drawings
33: 3 V-pentacubes, 2 L4u-hexacubes
2 solutions

3×   2×
solution drawings
34: 3 V-pentacubes, 2 P2-hexacubes
2 solutions

3×   2×
solution drawings
35: 3 V-pentacubes, 2 P5-hexacubes
2 solutions

3×   2×
solution drawings
36: 3 P-pentacubes, 2 O-hexacubes
3 solutions

3×   2×
solution drawings
37: 3 P-pentacubes, 2 P1-hexacubes
3 solutions

3×   2×
solution drawings
38: 3 Q-pentacubes, 2 J-hexacubes
4 solutions

3×   2×
39: 3 Q-pentacubes, 2 V1-hexacubes
4 solutions

3×   2×