A 5x5x2 solid can be filled with four copies of a pentacube and five 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 solutions for four P-pentacubes and five V-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.

Because the I-pentacube has a trivial solution when combined with any solid hexacube, it has been left out of this list.
1: 4 L-pentacubes, 5 Long N-hexacubes
1 solution

5×
solution drawings
2: 4 L-pentacubes, 5 Y1-hexacubes
1 solution

5×
solution drawings
3: 4 P-pentacubes, 5 Hi Y-hexacubes
1 solution

5×
solution drawings
4: 4 P-pentacubes, 5 Long N-hexacubes
1 solution

5×
solution drawings
5: 4 P-pentacubes, 5 T4v-hexacubes
1 solution

5×
solution drawings
6: 4 P-pentacubes, 5 Nb4-hexacubes
1 solution

5×
solution drawings
7: 4 P-pentacubes, 5 U2-hexacubes
1 solution

5×
solution drawings
8: 4 P-pentacubes, 5 Y5-hexacubes
1 solution

5×
solution drawings
9: 4 S-pentacubes, 5 Long N-hexacubes
1 solution

5×
solution drawings
10: 4 S-pentacubes, 5 P1-hexacubes
1 solution

5×
solution drawings
11: 4 S-pentacubes, 5 P3-hexacubes
1 solution

5×
solution drawings
12: 4 S-pentacubes, 5 P5-hexacubes
1 solution

5×
solution drawings
13: 4 S-pentacubes, 5 Y1-hexacubes
1 solution

5×
solution drawings
14: 4 T-pentacubes, 5 P3-hexacubes
1 solution

5×
solution drawings
15: 4 U-pentacubes, 5 Hi Y-hexacubes
1 solution

5×
solution drawings
16: 4 U-pentacubes, 5 L-hexacubes
1 solution

5×
solution drawings
17: 4 U-pentacubes, 5 Low Y-hexacubes
1 solution

5×
solution drawings
18: 4 U-pentacubes, 5 P3-hexacubes
1 solution

5×
solution drawings
19: 4 U-pentacubes, 5 Y1-hexacubes
1 solution

5×
solution drawings
20: 4 Y-pentacubes, 5 U2-hexacubes
1 solution

5×
solution drawings
21: 4 L3-pentacubes, 5 D-hexacubes
1 solution

5×
solution drawings
22: 4 L3-pentacubes, 5 P-hexacubes
1 solution

5×
solution drawings
23: 4 Q-pentacubes, 5 Short N-hexacubes
1 solution

5×
solution drawings
24: 4 Q-pentacubes, 5 U-hexacubes
1 solution

5×
solution drawings
25: 4 Q-pentacubes, 5 L2r-hexacubes
1 solution

5×
solution drawings
26: 4 Q-pentacubes, 5 Y2-hexacubes
1 solution

5×
solution drawings
27: 4 T1-pentacubes, 5 T2-hexacubes
1 solution

5×
solution drawings
28: 4 T2-pentacubes, 5 T4v-hexacubes
1 solution

5×
solution drawings
29: 4 T2-pentacubes, 5 L2r-hexacubes
1 solution

5×
solution drawings
30: 4 T2-pentacubes, 5 T4l-hexacubes
1 solution

5×
solution drawings
31: 4 L2-pentacubes, 5 Q4r-hexacubes
1 solution

5×
solution drawings
32: 4 L4-pentacubes, 5 Low Y-hexacubes
1 solution

5×
solution drawings
33: 4 L4-pentacubes, 5 O-hexacubes
1 solution

5×
solution drawings
34: 4 L4-pentacubes, 5 Pb5-hexacubes
1 solution

5×
solution drawings
35: 4 N1-pentacubes, 5 FatA-hexacubes
1 solution

5×
solution drawings
36: 4 N1-pentacubes, 5 Pb1-hexacubes
1 solution

5×
solution drawings
37: 4 N1-pentacubes, 5 N23-hexacubes
1 solution

5×
solution drawings
38: 4 N2-pentacubes, 5 P1-hexacubes
1 solution

5×
solution drawings
39: 4 N2-pentacubes, 5 Q4r-hexacubes
1 solution

5×
solution drawings
40: 4 N2-pentacubes, 5 N13-hexacubes
1 solution

5×
solution drawings
41: 4 L-pentacubes, 5 S-hexacubes
2 solutions

5×
solution drawings
42: 4 P-pentacubes, 5 Low Y-hexacubes
2 solutions

5×
solution drawings
43: 4 P-pentacubes, 5 S-hexacubes
2 solutions

5×
solution drawings
44: 4 P-pentacubes, 5 V-hexacubes
2 solutions

5×
solution drawings
45: 4 P-pentacubes, 5 L3l-hexacubes
2 solutions

5×
solution drawings
46: 4 P-pentacubes, 5 P4-hexacubes
2 solutions

5×
solution drawings
47: 4 P-pentacubes, 5 S14-hexacubes
2 solutions

5×
solution drawings
48: 4 S-pentacubes, 5 O-hexacubes
2 solutions

5×
solution drawings
49: 4 Y-pentacubes, 5 G-hexacubes
2 solutions

5×
solution drawings
50: 4 A-pentacubes, 5 P2-hexacubes
2 solutions

5×
solution drawings
51: 4 A-pentacubes, 5 P4-hexacubes
2 solutions

5×
solution drawings
52: 4 L3-pentacubes, 5 P3-hexacubes
2 solutions

5×
solution drawings
53: 4 Q-pentacubes, 5 Low Y-hexacubes
2 solutions

5×
solution drawings
54: 4 Q-pentacubes, 5 Nb5-hexacubes
2 solutions

5×
solution drawings
55: 4 Q-pentacubes, 5 U2-hexacubes
2 solutions

5×
solution drawings
56: 4 Q-pentacubes, 5 Y5-hexacubes
2 solutions

5×
solution drawings
57: 4 T1-pentacubes, 5 P3-hexacubes
2 solutions

5×
solution drawings
58: 4 T1-pentacubes, 5 U2-hexacubes
2 solutions

5×
solution drawings
59: 4 L2-pentacubes, 5 T4r-hexacubes
2 solutions

5×
solution drawings
60: 4 L4-pentacubes, 5 L-hexacubes
2 solutions

5×
solution drawings
61: 4 N2-pentacubes, 5 S2d-hexacubes
2 solutions

5×
solution drawings
62: 4 N2-pentacubes, 5 U4-hexacubes
2 solutions

5×
solution drawings
63: 4 L-pentacubes, 5 D-hexacubes
3 solutions

5×
solution drawings
64: 4 L-pentacubes, 5 Low Y-hexacubes
3 solutions

5×
solution drawings
65: 4 P-pentacubes, 5 C-hexacubes
3 solutions

5×
solution drawings
66: 4 P-pentacubes, 5 L4-hexacubes
3 solutions

5×
solution drawings
67: 4 S-pentacubes, 5 P-hexacubes
3 solutions

5×
solution drawings
68: 4 Q-pentacubes, 5 Q4d-hexacubes
3 solutions

5×
solution drawings
69: 4 L2-pentacubes, 5 Pb1-hexacubes
3 solutions

5×
solution drawings
70: 4 L4-pentacubes, 5 Q4d-hexacubes
3 solutions

5×
solution drawings
71: 4 L-pentacubes, 5 L4u-hexacubes
4 solutions

5×
72: 4 P-pentacubes, 5 Q4d-hexacubes
4 solutions

5×
73: 4 V-pentacubes, 5 FatA-hexacubes
4 solutions

5×
74: 4 L1-pentacubes, 5 FatA-hexacubes
4 solutions

5×
75: 4 L2-pentacubes, 5 Q14-hexacubes
4 solutions

5×
76: 4 N1-pentacubes, 5 P1-hexacubes
4 solutions

5×
77: 4 N1-pentacubes, 5 Pb2-hexacubes
4 solutions

5×
78: 4 L-pentacubes, 5 C-hexacubes
5 solutions

5×
79: 4 P-pentacubes, 5 P3-hexacubes
5 solutions

5×
80: 4 Q-pentacubes, 5 L-hexacubes
5 solutions

5×
81: 4 P-pentacubes, 5 L1r-hexacubes
7 solutions

5×
82: 4 L-pentacubes, 5 Hi Y-hexacubes
many solutions

5×
83: 4 L-pentacubes, 5 L-hexacubes
many solutions

5×
84: 4 L-pentacubes, 5 O-hexacubes
many solutions

5×
85: 4 L-pentacubes, 5 P-hexacubes
many solutions

5×
86: 4 L-pentacubes, 5 U-hexacubes
many solutions

5×
87: 4 L-pentacubes, 5 FatA-hexacubes
many solutions

5×
88: 4 L-pentacubes, 5 Q4v-hexacubes
many solutions

5×
89: 4 L-pentacubes, 5 L5-hexacubes
many solutions

5×
90: 4 L-pentacubes, 5 P2-hexacubes
many solutions

5×
91: 4 L-pentacubes, 5 P5-hexacubes
many solutions

5×
92: 4 L-pentacubes, 5 U1-hexacubes
many solutions

5×
93: 4 P-pentacubes, 5 A-hexacubes
many solutions

5×
94: 4 P-pentacubes, 5 D-hexacubes
many solutions

5×
95: 4 P-pentacubes, 5 L-hexacubes
many solutions

5×
96: 4 P-pentacubes, 5 O-hexacubes
many solutions

5×
97: 4 P-pentacubes, 5 P-hexacubes
many solutions

5×
98: 4 P-pentacubes, 5 R-hexacubes
many solutions

5×
99: 4 P-pentacubes, 5 U-hexacubes
many solutions

5×
100: 4 P-pentacubes, 5 FatA-hexacubes
many solutions

5×
101: 4 P-pentacubes, 5 Q14-hexacubes
many solutions

5×
102: 4 P-pentacubes, 5 Q4v-hexacubes
many solutions

5×
103: 4 P-pentacubes, 5 L5-hexacubes
many solutions

5×
104: 4 P-pentacubes, 5 P1-hexacubes
many solutions

5×
105: 4 P-pentacubes, 5 P2-hexacubes
many solutions

5×
106: 4 P-pentacubes, 5 P5-hexacubes
many solutions

5×
107: 4 U-pentacubes, 5 FatA-hexacubes
many solutions

5×
108: 4 Y-pentacubes, 5 L-hexacubes
many solutions

5×
109: 4 Y-pentacubes, 5 FatA-hexacubes
many solutions

5×
110: 4 A-pentacubes, 5 P1-hexacubes
many solutions

5×
111: 4 Q-pentacubes, 5 O-hexacubes
many solutions

5×
112: 4 Q-pentacubes, 5 P-hexacubes
many solutions

5×
113: 4 Q-pentacubes, 5 FatA-hexacubes
many solutions

5×
114: 4 Q-pentacubes, 5 Q14-hexacubes
many solutions

5×
115: 4 Q-pentacubes, 5 Q4v-hexacubes
many solutions

5×
116: 4 Q-pentacubes, 5 U3-hexacubes
many solutions

5×
117: 4 Q-pentacubes, 5 L1r-hexacubes
many solutions

5×
118: 4 Q-pentacubes, 5 L4u-hexacubes
many solutions

5×
119: 4 Q-pentacubes, 5 P1-hexacubes
many solutions

5×
120: 4 Q-pentacubes, 5 P2-hexacubes
many solutions

5×
121: 4 Q-pentacubes, 5 P3-hexacubes
many solutions

5×
122: 4 Q-pentacubes, 5 P4-hexacubes
many solutions

5×
123: 4 Q-pentacubes, 5 P5-hexacubes
many solutions

5×
124: 4 Q-pentacubes, 5 S14-hexacubes
many solutions

5×
125: 4 Q-pentacubes, 5 S1r-hexacubes
many solutions

5×
126: 4 Q-pentacubes, 5 U1-hexacubes
many solutions

5×
127: 4 L2-pentacubes, 5 O-hexacubes
many solutions

5×
128: 4 L4-pentacubes, 5 P-hexacubes
many solutions

5×
129: 4 L4-pentacubes, 5 FatA-hexacubes
many solutions

5×
130: 4 L4-pentacubes, 5 P5-hexacubes
many solutions

5×
131: 4 N1-pentacubes, 5 O-hexacubes
many solutions

5×
132: 4 N1-pentacubes, 5 P2-hexacubes
many solutions

5×
133: 4 N2-pentacubes, 5 J3r-hexacubes
many solutions

5×