A square pyramid has base side 6 cm and slant height 5 cm. Find its volume.
Options
A
24 cm³
B
36 cm³
C
48 cm³
D
60 cm³
Answer & Analysis
Answer
C
Analysis
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:
Half base: 6/2 = 3 cm
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