To determine whether the ice block will float or sink, we first need to calculate its volume and then its density. The volume \( V \) of the ice block can be calculated using the formula for volume of a rectangular prism:
\[ V = \text{height} \times \text{length} \times \text{width} = 2, \text{cm} \times 2, \text{cm} \times 5, \text{cm} = 20, \text{cm}^3 \]
Next, we calculate the density \( \rho \) of the ice block using its mass and volume:
\[ \rho = \frac{\text{mass}}{\text{volume}} = \frac{18.4, \text{g}}{20, \text{cm}^3} = 0.92, \text{g/cm}^3 \]
Since the density of the ice block (0.92 g/cm³) is less than the density of water (1 g/cm³), the ice block will float. Objects with a density lower than the fluid in which they are placed will float, while those with a higher density will sink.