What is the cube root of 54?
Understand the Problem
The question is asking for the cube root of 54, which is a mathematical operation to find a number that, when multiplied by itself three times, equals 54.
Answer
The cube root of 54 is approximately $3.78$.
Answer for screen readers
The cube root of 54 is approximately $3.78$.
Steps to Solve
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Identify the operation needed To find the cube root of 54, we need to use the expression for the cube root, which is represented as ( \sqrt[3]{x} ). Here, ( x ) is the number we want to find the cube root of.
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Set up the equation We set up the equation to find the cube root of 54: $$ y = \sqrt[3]{54} $$
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Estimate the cube root We can estimate the cube root by knowing the cubes of numbers around it. Since ( 3^3 = 27 ) and ( 4^3 = 64 ), we know: $$ 3 < \sqrt[3]{54} < 4 $$
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Use a calculator or numerical method For a more precise calculation, we can use a calculator to find that: $$ \sqrt[3]{54} \approx 3.78 $$
The cube root of 54 is approximately $3.78$.
More Information
The cube root is the number that, when multiplied by itself three times, approximately equals 54. In real-life applications, cube roots can be used in calculating volumes and in various engineering problems.
Tips
- Misunderstanding the cube root: It's crucial not to confuse the cube root with the square root. The cube root is finding a number that multiplied by itself three times gives the original number.
- Rounding too early: Make sure to keep enough decimal places during calculation before final rounding for accuracy.
