The question asks how many small cubes of dimensions $0.5 \times 0.5 \times 0.5$ units can be cut from a cuboid of dimensions $8 \times 6 \times 6$ units.

Solution:

1. First, we calculate the volume of the large cuboid: $\text{Volume of cuboid} = 8 \times 6 \times 6 = 288 \, \text{cubic units}$

2. Next, calculate the volume of a small cube: $\text{Volume of small cube} = 0.5 \times 0.5 \times 0.5 = 0.125 \, \text{cubic units}$

3. Now, to find how many small cubes fit into the large cuboid, divide the volume of the cuboid by the volume of a small cube: $\text{Number of small cubes} = \frac{288}{0.125} = 2304$

Thus, the correct number of small cubes is 2304, which matches the correct answer given in the options.

Summary:

The correct answer is 2304 small cubes.

Would you like more details or further clarifications?

Here are five related questions:

1. How would the number of small cubes change if the cuboid's dimensions were doubled?
2. What happens to the number of cubes if the small cube's dimensions are halved?
3. How can we generalize this formula for any cuboid and small cube dimensions?
4. What is the volume of each individual small cube in cubic centimeters if the dimensions are in cm?
5. If a different cuboid of $10 \times 8 \times 4$ units is used, how many cubes of $0.5 \times 0.5 \times 0.5$ can be cut?

Tip: Always ensure the units for volume calculations are consistent when comparing different shapes.