Answer:
See below.
Explanation:
All linear dimensions are in ft, and all areas are in ft².
Pyramid:
Lateral area: 4 × 6 × 5 / 2 = 60
Base area: 6 × 6 = 36
Total surface area: 96
Hidden surface area (the square base): 36
Actual surface area in the composite solid: 60
Square prism:
Lateral area: 4 × 20 × 6 = 480
Base area: 2 × 6 × 6 = 72
Total surface area: 552
Hidden surface area (both square bases): 72
Actual surface area in the composite solid: 480
Cube:
Total surface area: 6 × 6 × 6 = 216
Hidden surface area (one base): 36
Actual surface area in the composite solid: 180
The surface areas above are for each of the above solids if each were free standing and unattached to other solids.
The way the three components are above, you must deduct some areas of bases (as shown above in the actual surface areas) since they are internal.
Pyramid actual visible area: 60
Square prism actual visible area: 480
Cube: 180
Total surface area: 720