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: a = 8 cm, l = 5 cm
Half base: 8/2 = 4 cm
Find h:

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