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Home » \boxed{\beginpmatrix \frac13 \\ -\frac13 \\ -\frac83 \endpmatrix} - High Altitude Science

\boxed{\beginpmatrix \frac13 \\ -\frac13 \\ -\frac83 \endpmatrix} - High Altitude Science

📅 March 10, 2026 👤 scraface

Mar 10, 2026

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📝 Recent Posts

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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