Question
Look at this equation: \[ u^{3}=343 \] What is \( u \), the cube root of 343 ? \( u= \)
Ask by Mills Lawson. in the United States
Mar 13,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
\( u = 7 \)
Solution
Solve the equation \( u^{3}=343 \).
Solve the equation by following steps:
- step0: Solve for \(u\):
\(u^{3}=343\)
- step1: Simplify the equation:
\(\sqrt[3]{u^{3}}=\sqrt[3]{343}\)
- step2: Calculate:
\(u=\sqrt[3]{343}\)
- step3: Evaluate:
\(u=7\)
The cube root of 343 is \( u = 7 \).
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Simplify this solution Extra Insights
To find \( u \), the cube root of 343, we can express it mathematically as \( u = \sqrt[3]{343} \). If we break down 343, it is actually \( 7 \times 7 \times 7 \), or \( 7^3 \). Thus, \( u = 7 \). The exciting part about cube roots is that they don't just show up in math! In the real world, cubic measurements are everywhere—from the volume of a box to the amount of space in a room. Understanding cube roots can help with calculating dimensions in construction or even in making furniture fit perfectly! How handy!
