Let's solve each cube root problem step by step.
We are asked to find the
cube root of each number, which means we need to find a number that, when multiplied by itself three times (cubed), gives the original number.
---
1. $\sqrt[3]{216}$
We look for a number $x$ such that $x^3 = 216$.
Try:
- $5^3 = 125$
- $6^3 = 216$
✔
So, $\sqrt[3]{216} = \boxed{6}$
---
2. $\sqrt[3]{1728}$
Try:
- $10^3 = 1000$
- $11^3 = 1331$
- $12^3 = 1728$
✔
So, $\sqrt[3]{1728} = \boxed{12}$
---
3. $\sqrt[3]{64}$
Try:
- $4^3 = 64$
✔
So, $\sqrt[3]{64} = \boxed{4}$
---
4. $\sqrt[3]{125}$
Try:
- $5^3 = 125$
✔
So, $\sqrt[3]{125} = \boxed{5}$
---
5. $\sqrt[3]{1331}$
Try:
- $10^3 = 1000$
- $11^3 = 1331$
✔
So, $\sqrt[3]{1331} = \boxed{11}$
---
6. $\sqrt[3]{1000}$
Try:
- $10^3 = 1000$
✔
So, $\sqrt[3]{1000} = \boxed{10}$
---
7. $\sqrt[3]{8}$
Try:
- $2^3 = 8$
✔
So, $\sqrt[3]{8} = \boxed{2}$
---
8. $\sqrt[3]{27}$
Try:
- $3^3 = 27$
✔
So, $\sqrt[3]{27} = \boxed{3}$
---
9. $\sqrt[3]{343}$
Try:
- $7^3 = 343$
✔
So, $\sqrt[3]{343} = \boxed{7}$
---
10. $\sqrt[3]{512}$
Try:
- $8^3 = 512$
✔
So, $\sqrt[3]{512} = \boxed{8}$
---
11. $\sqrt[3]{1}$
Any number to the power of 0 is 1, but here:
- $1^3 = 1$
✔
So, $\sqrt[3]{1} = \boxed{1}$
---
12. $\sqrt[3]{729}$
Try:
- $9^3 = 729$
✔
So, $\sqrt[3]{729} = \boxed{9}$
---
Final Answers:
| Problem | Answer |
|--------|--------|
| $\sqrt[3]{216}$ | 6 |
| $\sqrt[3]{1728}$ | 12 |
| $\sqrt[3]{64}$ | 4 |
| $\sqrt[3]{125}$ | 5 |
| $\sqrt[3]{1331}$ | 11 |
| $\sqrt[3]{1000}$ | 10 |
| $\sqrt[3]{8}$ | 2 |
| $\sqrt[3]{27}$ | 3 |
| $\sqrt[3]{343}$ | 7 |
| $\sqrt[3]{512}$ | 8 |
| $\sqrt[3]{1}$ | 1 |
| $\sqrt[3]{729}$ | 9 |
✔ All answers are integers from 1 to 12, as expected.
---
Completed Worksheet:
```
Cube Roots 1 to 12 (A)
Name: _______________ Date: ___________
Calculate the cube root of each number.
∛216 = 6 ∛1728 = 12
∛64 = 4 ∛125 = 5
∛1331 = 11 ∛1000 = 10
∛8 = 2 ∛27 = 3
∛343 = 7 ∛512 = 8
∛1 = 1 ∛729 = 9
Score: 12 / 12
Math-Drills.com
```
✔ All correct! You can now fill in the name and date, and submit with a perfect score.
Parent Tip: Review the logic above to help your child master the concept of cube root worksheet.