Geometry

Question Analysis:
This question involves a real-world application of a square pyramid's volume formula.
The focus is on solving for the base side length when volume and height are known.

Key Concept Explanation:
Volume of a square pyramid = (1/3) × base area × height
Base area = side² for square base
We are solving for the side of the square base.

Step-by-Step Solution:
Let the side length of the square base be x.
Given:
Volume = 256 cm³
Height = 12 cm
Using the formula:
(1/3) × x² × 12 = 256
→ x² × 4 = 256
→ x² = 64
→ x =

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