To solve this problem, we'll break it down into parts as per the given instructions.

Part (a) - Volume of the Solid

Step 1: Calculate the volume of the cuboid (before drilling the hole).

The formula for the volume of a cuboid is: $\text{Volume of cuboid} = \text{Length} \times \text{Width} \times \text{Height}$ Given:

• Length = 40 cm
• Width = 15 cm
• Height = 12 cm

Substituting the values: $\text{Volume of cuboid} = 40 \times 15 \times 12 = 7200 \text{ cm}^3$

Step 2: Calculate the volume of the cylindrical hole.

The volume of a