To solve this problem, we need to calculate the volume of the solid composed of cubes.

Each small cube in the figure has side lengths of 1 cm.

Steps:

1. Count the number of cubes: The rectangular prism has dimensions of 4 cubes along the length, 3 cubes along the width, and 3 cubes along the height.

   • This gives us dimensions: 4 cm (length) × 3 cm (width) × 3 cm (height).

2. Calculate the volume: The volume of a rectangular prism is given by the formula: $\text{Volume} = \text{length} \times \text{width} \times \text{height}$ Substituting the dimensions: $\text{Volume} = 4 \times 3 \times 3 = 36 \text{ cm}^3$

So, the volume of the solid is 36 cm³.

Do you need further details or have any questions?

Here are 5 related questions to expand your knowledge:

1. How does the formula for the volume of a cube differ from that of a rectangular prism?
2. What happens to the volume if each side of the cubes is doubled?
3. How do you calculate the surface area of this solid?
4. If the number of cubes along each dimension were different, how would that affect the volume?
5. How can you apply this knowledge to calculate the volume of irregular solids made up of cubes?

Tip: When calculating volume, make sure to use consistent units for all dimensions to avoid mistakes.