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Home » Solution: Convert $ 246_7 $ to base-ten. - 500apps

Solution: Convert $ 246_7 $ to base-ten. - 500apps

📅 March 14, 2026 👤 scraface

Mar 14, 2026

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Thus, the length of the altitude is \(\boxed{8 \text{ meters}}\).
A data storage device is modeled as a regular tetrahedron with side le...
The volume \( V \) of a regular tetrahedron with side length \( s \) i...
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}
s = \sqrt[3]{600\sqrt{2}}
s = (600\sqrt{2})^{1/3}
Thus, the side length \( s \) is \(\boxed{(600\sqrt{2})^{1/3}}\).

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