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Home » Calculate the surface area using the formula: - Deep Underground Poetry

Calculate the surface area using the formula: - Deep Underground Poetry

📅 May 4, 2026 👤 scraface

May 04, 2026

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📌 A rectangular prism has dimensions 4 cm by 6 cm by 8 cm. What is the length of the longest diagonal inside the prism?

📌 Use the 3D Pythagorean theorem: \( \sqrt{4^2 + 6^2 + 8^2} = \sqrt{16 + 36 + 64} = \sqrt{116} = 2\sqrt{29} \) cm.

📌 #### \(2\sqrt{29}\)

📌 A function \( f(x) = 2x^2 - 3x + 1 \) is defined. What is the value of \( f(-2) \)?

📌 Substitute \( x = -2 \): \( f(-2) = 2(-2)^2 - 3(-2) + 1 = 8 + 6 + 1 = 15 \).

📌 #### 15Certainly! Here are ten advanced high school level mathematics questions, each followed by a detailed step-by-step solution.

📌 A rocket's altitude in meters after t seconds is modeled by the function \( h(t) = -5t^2 + 150t + 100 \). What is the maximum altitude the rocket reaches?

📌 The function is a quadratic in the form \( h(t) = at^2 + bt + c \), with \( a = -5 \), \( b = 150 \), and \( c = 100 \).

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