Answer:
24.68 g/cm³
Step-by-step explanation:
We'll begin by calculating the volume of the marble. This can be obtained as follow:
Volume = 17 × 23 × 4
Volume = 1564 cm³
Next, we shall convert the mass of the marble (i.e 38.6 kg) to grams (g). This can be obtained as follow:
1 kg = 1000 g
Therefore,
38.6 kg = 38.6 kg × 1000 g / 1 kg
38.6 kg = 38600 g
Therefore, 38.6 kg mass of the marble slab is equivalent to 38600 g.
Finally, we shall determine the density of the marble slab as follow:
Volume = 1564 cm³
Mass = 38600 g.
Density =..?
Density = mass /volume
Density = 38600 g / 1564 cm³
Density = 24.68 g/cm³
Therefore, the density of the marble slab is 24.68 g/cm³