Match the volume worksheet for students to calculate and connect rectangular prisms to their correct volumes.

To solve the problem, we need to calculate the volume of each shape and then match it with the correct volume provided. The formula for the volume of a rectangular prism (or cube) is:

\[
\text{Volume} = \text{length} \times \text{width} \times \text{height}
\]

Let's calculate the volume for each shape step by step.

Shape 1:

- Dimensions: \(4 \, \text{cm} \times 1 \, \text{cm} \times 3 \, \text{cm}\)
- Volume:
\[
4 \times 1 \times 3 = 12 \, \text{cm}^3
\]
- Match: Volume \(12 \, \text{cm}^3\)

Shape 2:

- Dimensions: \(6 \, \text{cm} \times 2 \, \text{cm} \times 2 \, \text{cm}\)
- Volume:
\[
6 \times 2 \times 2 = 24 \, \text{cm}^3
\]
- Match: Volume \(24 \, \text{cm}^3\)

Shape 3:

- Dimensions: \(3 \, \text{cm} \times 3 \, \text{cm} \times 3 \, \text{cm}\)
- Volume:
\[
3 \times 3 \times 3 = 27 \, \text{cm}^3
\]
- Match: Volume \(27 \, \text{cm}^3\)

Shape 4:

- Dimensions: \(7 \, \text{cm} \times 3 \, \text{cm} \times 1 \, \text{cm}\)
- Volume:
\[
7 \times 3 \times 1 = 21 \, \text{cm}^3
\]
- Match: Volume \(21 \, \text{cm}^3\)

Shape 5:

- Dimensions: \(3 \, \text{cm} \times 1 \, \text{cm} \times 5 \, \text{cm}\)
- Volume:
\[
3 \times 1 \times 5 = 15 \, \text{cm}^3
\]
- Match: Volume \(15 \, \text{cm}^3\)

Shape 6:

- Dimensions: \(5 \, \text{cm} \times 3 \, \text{cm} \times 2 \, \text{cm}\)
- Volume:
\[
5 \times 3 \times 2 = 30 \, \text{cm}^3
\]
- Match: Volume \(30 \, \text{cm}^3\)

Final Matches:

1. Shape 1 → Volume \(12 \, \text{cm}^3\)
2. Shape 2 → Volume \(24 \, \text{cm}^3\)
3. Shape 3 → Volume \(27 \, \text{cm}^3\)
4. Shape 4 → Volume \(21 \, \text{cm}^3\)
5. Shape 5 → Volume \(15 \, \text{cm}^3\)
6. Shape 6 → Volume \(30 \, \text{cm}^3\)

Corrected Answer:

\[
\boxed{
\begin{array}{ll}
\text{Shape 1} & \text{Volume } 12 \, \text{cm}^3 \\
\text{Shape 2} & \text{Volume } 24 \, \text{cm}^3 \\
\text{Shape 3} & \text{Volume } 27 \, \text{cm}^3 \\
\text{Shape 4} & \text{Volume } 21 \, \text{cm}^3 \\
\text{Shape 5} & \text{Volume } 15 \, \text{cm}^3 \\
\text{Shape 6} & \text{Volume } 30 \, \text{cm}^3 \\
\end{array}
}
\]