Answer:
![\boxed {\tt d\approx 2.7 \ g/cm^3}](https://img.qammunity.org/2021/formulas/chemistry/high-school/jdf71iifctws0i9r9rbvpcw3yqwc0gifd4.png)
Step-by-step explanation:
Density can be found by dividing the mass by the volume.
![d=(m)/(v)](https://img.qammunity.org/2021/formulas/social-studies/college/sm61tfevco049bqxe8o8eoklju47rhb835.png)
The mass of the marble slab is 4.24 kilograms.
The density is 1564 cubic centimeters.
Since we want to find the density, in g/cm^3, we must convert kilograms to grams. There are 1000 grams in 1 kilogram, so multiply 4.24 by 1000.
Therefore,
![m= 4240 \ g \\v= 1564 \ cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/hoth1c14djj1nalqxibsrcl4ygttglfl4r.png)
Substitute the values into the formula.
![d=(4240 \ g)/(1564 \ cm^3)](https://img.qammunity.org/2021/formulas/chemistry/high-school/v08i01eifre2wcl4ibttq88lxquiawfczp.png)
Divide.
![d= 2.71099744 \ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/l7tvynk8sjftceovel0git1k71bls07kzw.png)
Round to the nearest tenth. The 1 in the hundredth place tells us to leave the tenth place as is.
![d \approx 2.7 \ g/cm^3](https://img.qammunity.org/2021/formulas/chemistry/high-school/a316ymz8w20v24erdycqx3hqkxe5dtyovx.png)
The density is about 2.7 grams per cubic centimeter.