The diagram shows a wooden rectangular cuboid with a circular hole of diameter 7 cm drilled through the centre. The dimensions of the cuboid are 40 cm by 15 cm by 12 cm. Find
(a) the volume of the solid,
(b) the total surface area of the solid.
〈Take pi = 22/7)

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

Learn how to calculate the volume and surface area of a wooden rectangular cuboid with a drilled hole. This problem involves finding the volume of the cuboid and subtracting the volume of the cylindrical hole. Suitable for high school students studying geometry and basic calculus.

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