Cylindrical cans of radius of 7 cm and height of 30 cm are placed in a rectangular box of dimension 76 cm × 46 cm × 45 cm. What is the maximum number of cans that can fit in the box?

To find the maximum number of identical objects that fit in a container, consider orienting the object's dimensions with the container's dimensions. For cylindrical objects, consider placing them upright or on their side, aligning the cylinder's height or diameter with the box dimensions. The number of objects along an edge is typically the floor of the box dimension divided by the object dimension in that direction. For circular bases in a rectangular area, simple grid packing ($\lfloor L/D \rfloor \times \lfloor W/D \rfloor$) provides a lower bound, and often the actual maximum, especially for small dimensions.