A wooden block has a mass of 115 grams, correct to the nearest gram.
The volume of the block is 6 cm^3, correct to the nearest cm^3.
Find the largest possible density of the block in g/cm^3. $\text{Density} = \dfrac{\text{Mass}}{\text{Volume}}$ Answer ... g/cm^3

1. Find the upper bound of the mass and the lower bound of the volume.

Mass is $115$ g correct to the nearest gram, so
$114.5 \leq m < 115.5.$
Volume is $6$ cm$^3$ correct to the nearest cm$^3$, so
$5.5 \leq V < 6.5.$
For the largest density, use $m=115.5$ and $V=5.5$.

2. Calculate the largest possible density.

$\text{Density}=\frac{\text{Mass}}{\text{Volume}}$
$\text{Largest possible density}=\frac{115.5}{5.5}=21.$