Geometry

Question Analysis:
This problem requires using the Pythagorean theorem to find the perpendicular height from given slant height, then calculating pyramid volume.

Key Concept Explanation:
Slant height (l) forms a right triangle with:
Half of base side (a/2)
Perpendicular height (h)
Relationship: l² = h² + (a/2)²
Volume formula: V = (1/3) × base area × h

Step-by-Step Solution:
Given: base side (a) = 12 cm, slant height (l) = 10 cm
Find half base: 12/2 = 6 cm
Apply Pythagorean theorem:

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