A rectangular container is 33 cm by 22 cm by 20 cm. Find the maximum number of cubes of length 5 cm that can be placed into the container.?

To find the maximum number of cubes that can fit into the container, we need to calculate the volume of the container and the volume of each cube.

The volume of the container is given by:
Volume = length x width x height
Volume = 33 cm x 22 cm x 20 cm
Volume = 7260 cm^3

The volume of each cube is given by:
Volume = side length^3
Volume = 5 cm x 5 cm x 5 cm
Volume = 125 cm^3

Now, we can find the maximum number of cubes that can fit into the container by dividing the volume of the container by the volume of each cube:
Maximum number of cubes = Volume of container / Volume of each cube
Maximum number of cubes = 7260 cm^3 / 125 cm^3
Maximum number of cubes = 58.08

Since we cannot have a fraction of a cube, the maximum number of cubes that can fit into the container is 58.