Math worksheet for counting cubes to determine volume of rectangular prisms.

To solve the problem of finding the volume of each shape by counting the number of cubes, we need to carefully analyze each figure and count the total number of cubes in it. The volume of a shape made up of unit cubes is simply the total number of cubes in the shape.

Let's go through each shape step by step:

Shape 1:

- The shape is a rectangular prism.
- It has 3 layers (height), 2 rows (length), and 3 columns (width).
- Total cubes = \(3 \times 2 \times 3 = 18\).

Shape 2:

- The shape is a rectangular prism.
- It has 2 layers (height), 3 rows (length), and 4 columns (width).
- Total cubes = \(2 \times 3 \times 4 = 24\).

Shape 3:

- The shape is a cube.
- It has 3 layers (height), 3 rows (length), and 3 columns (width).
- Total cubes = \(3 \times 3 \times 3 = 27\).

Shape 4:

- The shape is a rectangular prism.
- It has 5 layers (height), 1 row (length), and 1 column (width).
- Total cubes = \(5 \times 1 \times 1 = 5\).

Shape 5:

- The shape is a rectangular prism.
- It has 2 layers (height), 4 rows (length), and 5 columns (width).
- Total cubes = \(2 \times 4 \times 5 = 40\).

Shape 6:

- The shape is a cube.
- It has 3 layers (height), 3 rows (length), and 3 columns (width).
- Total cubes = \(3 \times 3 \times 3 = 27\).

Shape 7:

- The shape is a rectangular prism.
- It has 3 layers (height), 5 rows (length), and 4 columns (width).
- Total cubes = \(3 \times 5 \times 4 = 60\).

Shape 8:

- The shape is a rectangular prism.
- It has 2 layers (height), 4 rows (length), and 4 columns (width).
- Total cubes = \(2 \times 4 \times 4 = 32\).

Final Answers:

1. Volume: \(18\) cubes
2. Volume: \(24\) cubes
3. Volume: \(27\) cubes
4. Volume: \(5\) cubes
5. Volume: \(40\) cubes
6. Volume: \(27\) cubes
7. Volume: \(60\) cubes
8. Volume: \(32\) cubes

So, the final answer is:
\[
\boxed{18, 24, 27, 5, 40, 27, 60, 32}
\]