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\( x^{3}=1000 \) \( 4 \times \) Solve for \( x \) A \( 4 \times \quad \) B \( \quad 10 \) \( 4 \times \quad \) C 15 \( 4 \times \quad 20 \) \( 4 \times 100 \)

Ask by Lambert Chandler. in the United States
Mar 18,2025

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\( x=10 \)

Solución

Solve the equation \( x^{3}=1000 \). Solve the equation by following steps: - step0: Solve for \(x\): \(x^{3}=1000\) - step1: Simplify the equation: \(\sqrt[3]{x^{3}}=\sqrt[3]{1000}\) - step2: Calculate: \(x=\sqrt[3]{1000}\) - step3: Evaluate: \(x=10\) The solution to the equation \(x^{3}=1000\) is \(x=10\).

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Bonus Knowledge

To solve for \( x \) in the equation \( x^{3}=1000 \), we start by taking the cube root of both sides. The cube root of 1000 is 10, so \( x = 10 \). That’s your answer, simple as pie! Now, let's have some fun with cubes! Did you know that the number 10 can be represented as \( 2^1 \times 5^1 \)? This means that when cubed (\( 10^3 \)), it becomes \( 2^3 \times 5^3 = 8 \times 125 = 1000 \). So next time you’re pouring sugar into your coffee or measuring bricks for a construction project, consider the power of cubes and how they come together to build something!

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