Final answer:
The volume of the original block of wood and the volume of the drilled holes cannot be determined without the specific dimensions of the block and the depth of the holes. The volume formula for a rectangular prism is length × width × height, and the volume formula for a cylinder is V = πr²h, where r is the radius and h is the height.
Step-by-step explanation:
The volume of the original block of wood before drilling the holes can be calculated using the volume formula for a rectangular prism, which is length × width × height. However, as the specific dimensions of the block are not provided in the question, we cannot calculate the exact volume without additional information.
The volume of one circular drill-hole with a diameter of 3 cm can be calculated using the formula for the volume of a cylinder, V = πr²h, where r is the radius (1.5 cm, since radius is half of the diameter) and h is the height (or depth) of the cylinder (the same as the height of the block). For this calculation, the height of the block is unknown. Therefore, only the formula can be provided without the computation of an exact volume.
Once all three holes are drilled, the volume of the block of wood is equal to the original volume of the block minus the total volume of the three holes. Again, without the specific measurements, we cannot compute the remaining volume of the block. In conclusion, without the specific dimensions of the block and the depth of the holes, precise volume calculations are not possible.