Final answer:
The volume of the basketball gym is calculated by multiplying the floor area, 755 square meters, by the ceiling height of 8 meters, giving a volume of 6040 cubic meters.
Step-by-step explanation:
The volume of Arianna's school basketball gym can be calculated using the formula for volume of a rectangular prism: Volume = length × width × height. Since we know the floor area is 755 square meters and the ceiling height is 8 meters, we can multiply these two numbers to find the volume:
Volume = 755 m² × 8 m = 6040 m³
Therefore, the volume of the basketball gym is 6040 cubic meters.