Final answer:
To find out how many 2/3 inch wide notebooks will fit into 18 inches of shelf space, divide 18 by 2/3, which yields 27 notebooks. Additionally, the factors necessary to estimate the number of stacked books before tipping include the mass, width, and depth of each book.
Step-by-step explanation:
The student has asked how many notebooks, each being 2/3 inches wide, will fit on a shelf with 18 inches of remaining space. To determine this, we simply divide the total available shelf space by the width of one notebook.
The calculation would be: 18 inches ÷ 2/3 inches per notebook. First, we convert 2/3 inches to its reciprocal, which is 3/2. Multiplying 18 inches by 3/2 gives us 27. This means that 27 notebooks will fit on the shelf.
For the group of students stacking books, the information needed to calculate the maximum number of books they can stack before it tips would be I. The mass of each book, II. The width of each book, and III. The depth of each book. All these factors contribute to the stability of the stack with respect to the center of mass and overhang.