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📅 March 9, 2026 👤 scraface

Mar 09, 2026

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📌 h = \sqrt{64} = 8

📌 Thus, the length of the altitude is \(\boxed{8 \text{ meters}}\).

📌 A data storage device is modeled as a regular tetrahedron with side length \( s \). If the volume of the device is 100 cubic units, find the side length \( s \).

📌 The volume \( V \) of a regular tetrahedron with side length \( s \) is given by:

📌 V = \frac{s^3}{6\sqrt{2}}

📌 Given \( V = 100 \), we solve for \( s \):

📌 \frac{s^3}{6\sqrt{2}} = 100

📌 s^3 = 100 \times 6\sqrt{2} = 600\sqrt{2}

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