Geometry

Question Analysis:
This problem requires deriving volume from surface area by first calculating slant height, then perpendicular height.

Key Concept Explanation:
Surface Area Components:
Base Area (square) = side²
Lateral Area = (perimeter × slant height)/2
Volume Formula: V = (1/3) × base area × perpendicular height
Height Relationship: Pythagorean theorem connects slant height (l) and perpendicular height (h): 

Step-by-Step Solution:
Calculate Base Area:
10 cm × 10 cm = 100 cm²
Find Lateral Area:
Total SA - Base Area = 360 cm² - 100 cm² = 260 cm²
Determine Slant Height (l):
Lateral Area = (perimeter × l)/2
260 = (40 × l)/2 → l = 13 cm
Calculate Perpendicular Height (h):

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