Using And Recognizing Square And Cube Numbers Worksheet - Free Printable

Let's solve the problem step by step based on the image you've described.

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Task: Cubes of Small Numbers

This worksheet is about calculating the volume of cubes using the formula:

> Volume = side × side × side = side³

We'll go through each part.

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Part 1: What is $2^3$?

We are given:
- A cube with side length 2 cm
- The calculation: $2 \times 2 \times 2 = 8$

So,
> $2^3 = 8$

✔ Answer: 8

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Part 2: Use extra paper. Try other small numbers

We need to calculate the cube (i.e., $n^3$) for small values of $n$. Let’s fill in the table:

| Number | Cube ($n^3$) |
|--------|---------------|
| 1 | $1 \times 1 \times 1 = 1$ → 1 |
| 2 | $2 \times 2 \times 2 = 8$ → 8 |
| 3 | $3 \times 3 \times 3 = 27$ → 27 |
| 4 | $4 \times 4 \times 4 = 64$ → 64 |
| 5 | $5 \times 5 \times 5 = 125$ → 125 |

✔ So the completed table is:
- 1 → 1
- 2 → 8
- 3 → 27
- 4 → 64
- 5 → 125

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Part 3: What are the volumes of these cubes?

Now, we calculate the volume of four different cubes using $V = s^3$, where $s$ is the side length.

#### Cube a) Side = 3 cm
$$
V = 3 \times 3 \times 3 = 27\ \text{cm}^3
$$

✔ Volume = 27 cm³

#### Cube b) Side = 4 cm
$$
V = 4 \times 4 \times 4 = 64\ \text{cm}^3
$$

✔ Volume = 64 cm³

#### Cube c) Side = 5 cm
$$
V = 5 \times 5 \times 5 = 125\ \text{cm}^3
$$

✔ Volume = 125 cm³

#### Cube d) Side = 2 cm
$$
V = 2 \times 2 \times 2 = 8\ \text{cm}^3
$$

✔ Volume = 8 cm³

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✔ Final Answers:

- $2^3 = 8$
- Table:
- 1 → 1
- 2 → 8
- 3 → 27
- 4 → 64
- 5 → 125
- Volumes:
- a) 27 cm³
- b) 64 cm³
- c) 125 cm³
- d) 8 cm³

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🔍 Explanation:

- The cube of a number means multiplying the number by itself three times.
- For a cube-shaped object, volume = side × side × side = $s^3$.
- This concept helps understand both exponents and geometry.

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