Math worksheet on cube roots with problems and examples.

Let’s solve each problem step by step.

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Part 1: Calculate the cube (X³ = Y)
We multiply X by itself three times: X × X × X

1. x = 3 → 3 × 3 × 3 = 27
2. x = 9 → 9 × 9 = 81; 81 × 9 = 729
3. x = 1.5 → 1.5 × 1.5 = 2.25; 2.25 × 1.5 = 3.375
4. x = -4 → (-4) × (-4) = 16; 16 × (-4) = -64
5. x = 10 → 10 × 10 × 10 = 1000
6. x = -8 → (-8) × (-8) = 64; 64 × (-8) = -512
7. x = 6 → 6 × 6 × 6 = 216
8. x = 5 → 5 × 5 × 5 = 125

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Part 2: Calculate the cube root (∛Y = X)
We find what number, when multiplied by itself 3 times, gives Y.

1. ∛216 → 6×6×6=216 → 6
2. ∛512 → 8×8×8=512 → 8
3. ∛27 → 3×3×3=27 → 3
4. ∛1331 → 11×11×11=1331 → 11
5. ∛8 → 2×2×2=8 → 2
6. ∛729 → 9×9×9=729 → 9
7. ∛64 → 4×4×4=64 → 4
8. ∛1000 → 10×10×10=1000 → 10
9. ∛125 → 5×5×5=125 → 5
10. ∛343 → 7×7×7=343 → 7
11. ∛1 → 1×1×1=1 → 1
12. ∛-216 → (-6)×(-6)×(-6)= -216 → -6
13. ∛1728 → 12×12×12=1728 → 12
14. ∛1000000 → 100×100×100=1,000,000 → 100
15. ∛2744 → Let’s check: 14×14=196; 196×14 = 2744 → 14
16. ∛3375 → 15×15=225; 225×15 = 3375 → 15

All calculations verified.

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Final Answer:
Calculate the cube:
1. 27
2. 729
3. 3.375
4. -64
5. 1000
6. -512
7. 216
8. 125

Calculate the cube root:
1. 6
2. 8
3. 3
4. 11
5. 2
6. 9
7. 4
8. 10
9. 5
10. 7
11. 1
12. -6
13. 12
14. 100
15. 14
16. 15