Calculate the total volume of a composite shape made of a cuboid and a cylinder. The cuboid is 10cm x 8cm x 2cm. The cylinder has a diameter of 2cm and height of 3cm.

The cuboid has a length ($L$) of $10 \text{ cm}$, a width ($W$) of $8 \text{ cm}$, and a height ($H$) of $2 \text{ cm}$.

The formula for the volume of a cuboid is $V_{cuboid} = L \times W \times H$.

The cylinder has a diameter of $2.0 \text{ cm}$, which means its radius ($r$) is $\frac{2.0 \text{ cm}}{2} = 1.0 \text{ cm}$. The height ($h$) of the cylinder is $3 \text{ cm}$.

The formula for the volume of a cylinder is $V_{cylinder} = \pi r^2 h$.

Using $\pi \approx 3.14159$:

The total volume is the sum of the volume of the cuboid and the volume of the cylinder.

We know that $1 \text{ m} = 100 \text{ cm}$. Therefore, $1 \text{ m}^3 = (100 \text{ cm})^3 = 1,000,000 \text{ cm}^3$.
To convert $\text{cm}^3$ to $\text{m}^3$, we divide by 1,000,000.

Rounding to three significant figures:

The volume of the shape is $\text{0.000169 m}^3$.