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Home » \( \frac43 \pi r^3 = 288\pi \) - AIKO, infinite ways to autonomy.

\( \frac43 \pi r^3 = 288\pi \) - AIKO, infinite ways to autonomy.

📅 May 3, 2026 👤 scraface

May 03, 2026

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📌 #### $80,000

📌 A pyramid-shaped container has a square base with side length 10 meters and a height of 15 meters. If the container is filled with sand, and the sand is then evenly spread into a rectangular box measuring 5 meters by 10 meters by 3 meters, how high will the sand fill the box?

📌 Volume of the pyramid = \( \frac{1}{3} \times \text{base area} \times \text{height} \)

📌 Base area = \( 10 \times 10 = 100 \) square meters

📌 Volume = \( \frac{1}{3} \times 100 \times 15 = 500 \) cubic meters

📌 Volume of the box = \( 5 \times 10 \times 3 = 150 \) cubic meters

📌 Height of sand in the box = \( \frac{500}{150} \approx 3.33 \) meters

📌 #### 3.33 meters

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