Alice is giving a book as a gift that is 8 3/8 inches long and 6 1/2 inches wide. Will the book fit in a box that is 8 1/2 inches long and 6 1/2 wid or in a box that is 8 inches long and 6 inches wide?
If those are the external measures of the box, it will fit in neither. At 6.5 inches (external) the width (internal) will < 6.5.
i think it is 8
To determine whether the book will fit in a particular box, we need to compare the dimensions of the box and the book.
The book dimensions are:
Length: 8 3/8 inches
Width: 6 1/2 inches
Let's consider each box individually:
1. Box that is 8 1/2 inches long and 6 1/2 inches wide:
To determine if the book fits, we need to compare the length and width of the book to the internal dimensions of the box.
- Length: The book length (8 3/8 inches) is less than the box length (8 1/2 inches), so it should fit.
- Width: The book width (6 1/2 inches) is equal to the box width (6 1/2 inches), so it should fit.
Based on these comparisons, the book is smaller than or equal to both the length and width of the box, so it should fit.
2. Box that is 8 inches long and 6 inches wide:
Again, we need to compare the dimensions of the book to these internal dimensions.
- Length: The book length (8 3/8 inches) is greater than the box length (8 inches), so it may not fit.
- Width: The book width (6 1/2 inches) is equal to the box width (6 inches), so it should fit.
Based on these comparisons, the book is greater than the length of the box, but it is equal to the width of the box. Therefore, it may not fit in this particular box.
In conclusion, the book will fit in the box that is 8 1/2 inches long and 6 1/2 inches wide, but it may not fit in the box that is 8 inches long and 6 inches wide.