Geometry

Question Analysis:
This question involves calculating the surface area of one rectangular prism and dividing the total available paper area to see how many full boxes can be wrapped.
The main focus is on applying division with surface area for maximum quantity.

Key Concept Explanation:
Surface Area of a rectangular prism = 2(lw + lh + wh)
Max number of boxes = total paper area ÷ surface area per box
Use floor division since partial boxes can't be wrapped.

Step-by-Step Solution:
Box Dimensions:
Length = 12 in
Width = 8 in
Height = 6 in
Calculate surface area of one box:
lw = 12 × 8 = 96
lh = 12 × 6 = 72
wh = 8 × 6 = 48
→ Total = 96 + 72 + 48 = 216
→ Surface Area = 2 × 216 = 432 in² per box
Total wrapping...