Geometry

Question Analysis:
This question involves a prism with an irregular polygon base, where area and side lengths are given.
The main focus is on summing lateral area and base areas.

Key Concept Explanation:
Lateral area = height × perimeter
Total surface area = 2 × base area + lateral area

Step-by-Step Solution:
Perimeter = 3 + 4 + 5 + 6 + 7 = 25 cm
Prism height = 10 cm
Lateral surface area = 25 × 10 = 250 cm²
Total surface area = 2 × 60 + 250 = 120 + 250 = 370 cm²

Common Mistakes: