A toy company is packaging its toys to be shipped. Each small toy is placed inside a cube-shaped box with side lengths of LaTeX: \frac{1}{8}1 8 in. These smaller boxes are then placed into a larger box with dimensions of LaTeX: 12\:in.\:\times\:4\frac{1}{2}in.\:\ times\:3\frac{1}{2}in.12 i n . × 4 1 2 i n . × 3 1 2 i n . What is the greatest number of small toy boxes that can be packed into the larger box for shipping? Explain how you found your answer