Geometry

Question Analysis:
This question checks understanding of surface area comparison and the ability to apply geometry in real-world scenarios.
The main focus is to determine whether the available wrapping paper can completely cover the box.

Key Concept Explanation:
Surface area of box = 2(lw + lh + wh)
Area of wrapping paper = length × width
→ If wrapping paper area ≥ box surface area, then it can cover the box.

Step-by-Step Solution:
Box Dimensions:
Length = 12 in
Width = 8 in
Height = 5 in
Surface area of the box:
lw = 12 × 8 = 96
lh = 12 × 5 = 60
wh = 8 × 5 = 40
→ Total = 96 + 60 + 40 = 196
→ 2 × 196 = 392 in²
Wrapping paper area:
30 in × 24 in = 720 in²
Since 720 in² > 392 in² → ✅ wrapping paper is sufficient.

Option Analysis:
A. ✅ Correct — the surface area of the box (392 in²)...