A 24 kg slab of wood floats in the water. Find the value of P if the block has a volume of 0.032 m³ and a density of P x 10² kg/m³.

Mass = 24kg
Volume = 0.032m³
Density = P x 10² kg/m³
P =?

We know that, $\mathrm{Density} = \frac{\mathrm{mass}}{\mathrm{volume}}$

$\therefore$ $\mathrm{Density} = \frac{24}{0.032} = 750 \mathrm{kg}/{\mathrm{m}}^3$

Equating both the values of density,
 P x 10² kg/m³ = 750 kg/ m³
$\Rightarrow$ P x 10² kg/m³ = 7.5 x 10² kg/ m³
$\Rightarrow$P = 7.5

Therefore, the value of P will be 7.5.