To find the volume of the movie theater, we first need to find the volume of the large square prism in the center and then add the volume of the four smaller square prisms attached to it.
1. Volume of the large square prism in the center:
Volume = base area × height
Base area = side × side = 44m × 44m = 1936m^2
Volume = 1936m^2 × 20m = 38720m^3
2. Volume of one of the smaller square prisms:
Volume = base area × height
Base area = side × side = 15m × 15m = 225m^2
Volume = 225m^2 × 20m = 4500m^3
Since there are four smaller square prisms, we need to multiply the volume of one by 4:
Total volume of the four smaller square prisms = 4500m^3 × 4 = 18000m^3
Therefore, the total volume of the movie theater is:
Large square prism volume + Total volume of the four smaller square prisms
= 38720m^3 + 18000m^3
= 56720m^3
So, the volume of the movie theater is 56720m^3.