Why Area Grows Faster than Length: Surface Area Ratio Explained (k²)

Описание: Have you ever wondered why a 16-inch pizza 🍕 is actually FOUR times bigger than an 8-inch pizza, not just double? 🤔

In this geometry lesson, we break down the relationship between Scale Factor (k) and Area Ratio (k²). We'll explore how changing the length of a shape affects its area and surface area in ways that might surprise you! 📐

Perfect for geometry students and math enthusiasts looking for a visual explanation of square laws.

Topics covered:
🔹 Definition of Scale Factor (k)
🔹 Visualizing Area Growth
🔹 The k² Formula
🔹 3D Surface Area examples
🔹 Real-world application

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Chapters:
00:00 - Surface Area Ratio
00:17 - What is Scale Factor (k)?
00:38 - Comparing Linear vs. Area Growth
01:00 - The Golden Rule
01:20 - Visual Proof: Tripling the Side
01:40 - Does this apply to 3D Objects?
02:00 - Example: Scaling a Cube
02:25 - Real World: The Pizza Dilemma
02:48 - Summary & Key Takeaways
03:09 - Outro

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