Let’s solve each problem step by step. We’re dealing with cubes (raising a number to the power of 3) and cube roots (finding what number, when cubed, gives the number under the root).
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Cubes:
1.
4³ = 4 × 4 × 4
→ 4 × 4 = 16
→ 16 × 4 =
64
2.
3³ = 3 × 3 × 3
→ 3 × 3 = 9
→ 9 × 3 =
27
3.
10³ = 10 × 10 × 10
→ 10 × 10 = 100
→ 100 × 10 =
1000
4.
6³ = 6 × 6 × 6
→ 6 × 6 = 36
→ 36 × 6 =
216
5.
(-2)³ = (-2) × (-2) × (-2)
→ (-2) × (-2) = +4
→ 4 × (-2) =
-8
6.
8³ = 8 × 8 × 8
→ 8 × 8 = 64
→ 64 × 8 =
512
7.
(-5)³ = (-5) × (-5) × (-5)
→ (-5) × (-5) = +25
→ 25 × (-5) =
-125
8.
9³ = 9 × 9 × 9
→ 9 × 9 = 81
→ 81 × 9 =
729
9.
7³ = 7 × 7 × 7
→ 7 × 7 = 49
→ 49 × 7 =
343
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Cube Roots:
Remember: The cube root of a number is the value that, when multiplied by itself three times, gives the original number.
10.
∛27 → What number cubed equals 27?
→ 3 × 3 × 3 = 27 → So,
3
11.
∛125 → What number cubed equals 125?
→ 5 × 5 × 5 = 125 → So,
5
12.
∛-8 → What number cubed equals -8?
→ (-2) × (-2) × (-2) = -8 → So,
-2
13.
∛216 → What number cubed equals 216?
→ 6 × 6 × 6 = 216 → So,
6
14.
∛-64 → What number cubed equals -64?
→ (-4) × (-4) × (-4) = -64 → So,
-4
15.
∛1000 → What number cubed equals 1000?
→ 10 × 10 × 10 = 1000 → So,
10
16.
∛64 → What number cubed equals 64?
→ 4 × 4 × 4 = 64 → So,
4
17.
∛-1 → What number cubed equals -1?
→ (-1) × (-1) × (-1) = -1 → So,
-1
18.
∛512 → What number cubed equals 512?
→ 8 × 8 × 8 = 512 → So,
8
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Final Answer:
4³ = 64
3³ = 27
10³ = 1000
6³ = 216
(-2)³ = -8
8³ = 512
(-5)³ = -125
9³ = 729
7³ = 343
∛27 = 3
∛125 = 5
∛-8 = -2
∛216 = 6
∛-64 = -4
∛1000 = 10
∛64 = 4
∛-1 = -1
∛512 = 8
Parent Tip: Review the logic above to help your child master the concept of square roots worksheet.
