Cube Roots 1 to 32 (A) - Free Printable

To solve the problem of finding the cube roots of the given numbers, we need to determine which number, when multiplied by itself three times, equals the given number. Let's go through each number step by step.

Step-by-Step Solution:

1. $\sqrt[3]{125}$:
- We need a number $x$ such that $x^3 = 125$.
- $5^3 = 5 \times 5 \times 5 = 125$.
- Therefore, $\sqrt[3]{125} = 5$.

2. $\sqrt[3]{2197}$:
- We need a number $x$ such that $x^3 = 2197$.
- $13^3 = 13 \times 13 \times 13 = 2197$.
- Therefore, $\sqrt[3]{2197} = 13$.

3. $\sqrt[3]{1331}$:
- We need a number $x$ such that $x^3 = 1331$.
- $11^3 = 11 \times 11 \times 11 = 1331$.
- Therefore, $\sqrt[3]{1331} = 11$.

4. $\sqrt[3]{8000}$:
- We need a number $x$ such that $x^3 = 8000$.
- $20^3 = 20 \times 20 \times 20 = 8000$.
- Therefore, $\sqrt[3]{8000} = 20$.

5. $\sqrt[3]{2744}$:
- We need a number $x$ such that $x^3 = 2744$.
- $14^3 = 14 \times 14 \times 14 = 2744$.
- Therefore, $\sqrt[3]{2744} = 14$.

6. $\sqrt[3]{4096}$:
- We need a number $x$ such that $x^3 = 4096$.
- $16^3 = 16 \times 16 \times 16 = 4096$.
- Therefore, $\sqrt[3]{4096} = 16$.

7. $\sqrt[3]{1}$:
- We need a number $x$ such that $x^3 = 1$.
- $1^3 = 1 \times 1 \times 1 = 1$.
- Therefore, $\sqrt[3]{1} = 1$.

8. $\sqrt[3]{343}$:
- We need a number $x$ such that $x^3 = 343$.
- $7^3 = 7 \times 7 \times 7 = 343$.
- Therefore, $\sqrt[3]{343} = 7$.

9. $\sqrt[3]{27}$:
- We need a number $x$ such that $x^3 = 27$.
- $3^3 = 3 \times 3 \times 3 = 27$.
- Therefore, $\sqrt[3]{27} = 3$.

10. $\sqrt[3]{3375}$:
- We need a number $x$ such that $x^3 = 3375$.
- $15^3 = 15 \times 15 \times 15 = 3375$.
- Therefore, $\sqrt[3]{3375} = 15$.

11. $\sqrt[3]{512}$:
- We need a number $x$ such that $x^3 = 512$.
- $8^3 = 8 \times 8 \times 8 = 512$.
- Therefore, $\sqrt[3]{512} = 8$.

12. $\sqrt[3]{15625}$:
- We need a number $x$ such that $x^3 = 15625$.
- $25^3 = 25 \times 25 \times 25 = 15625$.
- Therefore, $\sqrt[3]{15625} = 25$.

13. $\sqrt[3]{10648}$:
- We need a number $x$ such that $x^3 = 10648$.
- $22^3 = 22 \times 22 \times 22 = 10648$.
- Therefore, $\sqrt[3]{10648} = 22$.

14. $\sqrt[3]{13824}$:
- We need a number $x$ such that $x^3 = 13824$.
- $24^3 = 24 \times 24 \times 24 = 13824$.
- Therefore, $\sqrt[3]{13824} = 24$.

15. $\sqrt[3]{216}$:
- We need a number $x$ such that $x^3 = 216$.
- $6^3 = 6 \times 6 \times 6 = 216$.
- Therefore, $\sqrt[3]{216} = 6$.

16. $\sqrt[3]{5832}$:
- We need a number $x$ such that $x^3 = 5832$.
- $18^3 = 18 \times 18 \times 18 = 5832$.
- Therefore, $\sqrt[3]{5832} = 18$.

17. $\sqrt[3]{1000}$:
- We need a number $x$ such that $x^3 = 1000$.
- $10^3 = 10 \times 10 \times 10 = 1000$.
- Therefore, $\sqrt[3]{1000} = 10$.

18. $\sqrt[3]{17576}$:
- We need a number $x$ such that $x^3 = 17576$.
- $26^3 = 26 \times 26 \times 26 = 17576$.
- Therefore, $\sqrt[3]{17576} = 26$.

19. $\sqrt[3]{64}$:
- We need a number $x$ such that $x^3 = 64$.
- $4^3 = 4 \times 4 \times 4 = 64$.
- Therefore, $\sqrt[3]{64} = 4$.

20. $\sqrt[3]{6859}$:
- We need a number $x$ such that $x^3 = 6859$.
- $19^3 = 19 \times 19 \times 19 = 6859$.
- Therefore, $\sqrt[3]{6859} = 19$.

21. $\sqrt[3]{1728}$:
- We need a number $x$ such that $x^3 = 1728$.
- $12^3 = 12 \times 12 \times 12 = 1728$.
- Therefore, $\sqrt[3]{1728} = 12$.

22. $\sqrt[3]{32768}$:
- We need a number $x$ such that $x^3 = 32768$.
- $32^3 = 32 \times 32 \times 32 = 32768$.
- Therefore, $\sqrt[3]{32768} = 32$.

23. $\sqrt[3]{27000}$:
- We need a number $x$ such that $x^3 = 27000$.
- $30^3 = 30 \times 30 \times 30 = 27000$.
- Therefore, $\sqrt[3]{27000} = 30$.

24. $\sqrt[3]{8}$:
- We need a number $x$ such that $x^3 = 8$.
- $2^3 = 2 \times 2 \times 2 = 8$.
- Therefore, $\sqrt[3]{8} = 2$.

25. $\sqrt[3]{24389}$:
- We need a number $x$ such that $x^3 = 24389$.
- $29^3 = 29 \times 29 \times 29 = 24389$.
- Therefore, $\sqrt[3]{24389} = 29$.

26. $\sqrt[3]{729}$:
- We need a number $x$ such that $x^3 = 729$.
- $9^3 = 9 \times 9 \times 9 = 729$.
- Therefore, $\sqrt[3]{729} = 9$.

27. $\sqrt[3]{21952}$:
- We need a number $x$ such that $x^3 = 21952$.
- $28^3 = 28 \times 28 \times 28 = 21952$.
- Therefore, $\sqrt[3]{21952} = 28$.

28. $\sqrt[3]{12167}$:
- We need a number $x$ such that $x^3 = 12167$.
- $23^3 = 23 \times 23 \times 23 = 12167$.
- Therefore, $\sqrt[3]{12167} = 23$.

29. $\sqrt[3]{9261}$:
- We need a number $x$ such that $x^3 = 9261$.
- $21^3 = 21 \times 21 \times 21 = 9261$.
- Therefore, $\sqrt[3]{9261} = 21$.

30. $\sqrt[3]{29791}$:
- We need a number $x$ such that $x^3 = 29791$.
- $31^3 = 31 \times 31 \times 31 = 29791$.
- Therefore, $\sqrt[3]{29791} = 31$.

Final Answer:

\[
\boxed{
\begin{array}{ccc}
\sqrt[3]{125} = 5 & \sqrt[3]{2197} = 13 & \sqrt[3]{1331} = 11 \\
\sqrt[3]{8000} = 20 & \sqrt[3]{2744} = 14 & \sqrt[3]{4096} = 16 \\
\sqrt[3]{1} = 1 & \sqrt[3]{343} = 7 & \sqrt[3]{27} = 3 \\
\sqrt[3]{3375} = 15 & \sqrt[3]{512} = 8 & \sqrt[3]{15625} = 25 \\
\sqrt[3]{10648} = 22 & \sqrt[3]{13824} = 24 & \sqrt[3]{216} = 6 \\
\sqrt[3]{5832} = 18 & \sqrt[3]{1000} = 10 & \sqrt[3]{17576} = 26 \\
\sqrt[3]{64} = 4 & \sqrt[3]{6859} = 19 & \sqrt[3]{1728} = 12 \\
\sqrt[3]{32768} = 32 & \sqrt[3]{27000} = 30 & \sqrt[3]{8} = 2 \\
\sqrt[3]{24389} = 29 & \sqrt[3]{729} = 9 & \sqrt[3]{21952} = 28 \\
\sqrt[3]{12167} = 23 & \sqrt[3]{9261} = 21 & \sqrt[3]{29791} = 31 \\
\end{array}
}
\]