Final answer:
The density of the object is calculated by dividing its mass, 48g, by its volume, which is 24cm^3. After calculating, we find that the density is 2 g/cm^3, which corresponds to answer C.
Step-by-step explanation:
To find the density of an object, you need to divide the mass of the object by its volume. The formula for density (ρ) is ρ = mass/volume. In this case, the mass of the block is 48 grams, and the volume can be calculated by multiplying its dimensions, which are 3 cm, 2 cm, and 4 cm.
First, calculate the volume: Volume = length × width × height = 3 cm × 2 cm × 4 cm = 24 cm³.
Next, calculate the density: Density = mass / volume = 48 g / 24 cm³ = 2 g/cm³.
Therefore, the correct answer is C. 2 g/cm³.