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Cubes and Higher Powers

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Cubes and Higher Powers

Mathematical cubes and powers illustration

📚 Part 1: Understanding Cubes and Powers

Remember: A cube number is when we multiply a number by itself three times. For example: 2³ = 2 × 2 × 2 = 8

1. What does 3³ equal?

9

27

6

12

2. Which of these represents "4 cubed"?

4 × 3

3⁴

3. Calculate 5³. Show your working:
4. What is the cube root of 64? (Think: which number cubed gives 64?)

4

8

6

16

5. Complete this pattern:

1³ = ____

2³ = ____

3³ = ____

4³ = ____

5³ = ____

✏️ Part 2: Higher Powers and Problem Solving

Remember: Higher powers work the same way. 2⁴ means 2 × 2 × 2 × 2, and 3⁵ means 3 × 3 × 3 × 3 × 3

6. Calculate 2⁴. Show your working step by step:
7. What is 3⁴?
8. A cube has sides of length 6cm. What is its volume? (Volume = length³)
9. Which is larger: 2⁵ or 3³? Show your calculations:
10. Fill in the missing powers:

2__ = 16

3__ = 81

5__ = 125

11. A storage company stacks boxes in a cube shape. If there are 8 boxes along each edge, how many boxes are there in total?
12. Explain in your own words what "to the power of 4" means:

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