The image shows a 3D solid prism made from identical cubes, where each cube has a side length of 1 cm. We are asked to provide the dimensions of a cuboid that could be made with the same number of cubes.

Step 1: Counting the cubes

We can count the number of cubes in the given shape. The prism is made up of:

• Top layer: 6 cubes (2 rows of 3 cubes)
• Bottom layer: 6 cubes (2 rows of 3 cubes)

Thus, the total number of cubes is: $6 + 6 = 12 \text{ cubes}$

Step 2: Finding a cuboid with the same number of cubes

A cuboid is a 3D rectangular shape, and its volume is the product of its dimensions: $\text{length} \times \text{width} \times \text{height}$. We need to find dimensions that multiply to give 12.

Possible sets of dimensions for a cuboid with 12 cubes include:

• $1 \times 3 \times 4$ (1 cm by 3 cm by 4 cm)
• $2 \times 2 \times 3$ (2 cm by 2 cm by 3 cm)

Either set of dimensions is correct for a cuboid with a volume of 12 cubic centimeters.

Would you like more details on this, or do you have any questions?

Here are some related questions to explore:

1. How do you calculate the volume of a cuboid?
2. What are the differences between a cuboid and a cube?
3. Can other shapes be made using the same number of cubes?
4. How do you calculate surface area for different cuboid dimensions?
5. What are the properties of prisms and cuboids in geometry?

Tip: When working with 3D shapes, always count the cubes systematically to avoid errors in determining volume.