Geometry

Question Analysis:
This question involves working backward using the volume formula for a square pyramid.
The focus is on solving for the base side length when volume and height are given.

Key Concept Explanation:
The formula for the volume of a pyramid is:
Volume = (1/3) × base area × height
For a square base, base area = side²

Step-by-Step Solution:
Given:
Volume = 144 cm³
Height = 12 cm
Let the base side length be x
Use the volume formula:
(1/3) × x² × 12 = 144
Multiply both sides by 3:
x² × 12 = 432
Divide both sides by 12:
x² = 36
Take square root:
x =

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