Answer:
Density,
![d=24.68\ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/college/2yofoe7b0dlsbxf8h7eqnd0snhjvczug2w.png)
Step-by-step explanation:
Given that,
Mass of marble slab is 38.6 kg or 38600 g
The dimensions of the slab is 23 cm × 17 cm ×4 cm
We know that the density of an object is given in terms of its mass volume as follows :
![d=\frac{\text{mass}}{\text{volume}}\\\\d=(38600\ g)/(1564\ cm^3)\\\\d=24.68\ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/college/bsq8xweidpgtck0q581mn6lcr2yog0phf3.png)
So, the density of the marble slab is
![24.68\ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/college/i53m301gztatpe5fydfshihehi8ps2ogpi.png)