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 extending from the four sides.
Volume of large square prism in the center:
Volume = base area x height
Base area = side x side = 44m x 44m = 1936m^2
Height = 20m
Volume = 1936m^2 x 20m = 38720m^3
Volume of one of the smaller square prisms:
Base area = side x side = 15m x 15m = 225m^2
Height = 20m
Volume = 225m^2 x 20m = 4500m^3
Total volume of the movie theater:
38720m^3 + 4(4500m^3) = 38720m^3 + 18000m^3 = 56720m^3
Therefore, the volume of the movie theater is 56,720 cubic meters.