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Home » Discover the Surprising Plural of ‘Axis’—You Won’t Believe What It Is! - Network4

Discover the Surprising Plural of ‘Axis’—You Won’t Believe What It Is! - Network4

📅 May 20, 2026 👤 scraface

May 20, 2026

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📌 Thus, the lateral surface area of the cone is \(\boxed{60\pi}\).

📌 Question:** A tetrahedron has vertices at \((0,0,0)\), \((1,0,0)\), \((0,1,0)\), and \((0,0,1)\). What is the volume of this tetrahedron?

📌 The volume \(V\) of a tetrahedron with vertices at \((x_1, y_1, z_1)\), \((x_2, y_2, z_2)\), \((x_3, y_3, z_3)\), and \((x_4, y_4, z_4)\) is given by:

📌 V = \frac{1}{6} \left| \det \begin{bmatrix}

📌 x_2-x_1 & y_2-y_1 & z_2-z_1 \\

📌 x_3-x_1 & y_3-y_1 & z_3-z_1 \\

📌 x_4-x_1 & y_4-y_1 & z_4-z_1

📌 \end{bmatrix} \right|

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