Final answer:
The density of the glass shard with a mass of 11.45g and a volume of 7.8 mL is calculated using the formula Density = Mass/Volume. After substitution, the density is found to be 1.47 g/mL.
Step-by-step explanation:
To calculate the density of the glass shard, we need to use the formula for density which is density = mass/volume. Given that the mass of the glass shard is 11.45g and it displaced 7.8 mL of water, we can use the volume of water displaced (7.8 mL) as the volume of the glass shard since the volume of water displaced is equal to the volume of the submerged object.
Therefore, the density of the glass shard is 11.45g / 7.8 mL.
The density formula rearranged is Density (p) = Mass (m) / Volume (V).
By substituting the given values into the density formula, we obtain p = 11.45g / 7.8mL, which simplifies to approximately 1.47 g/mL.
This is the density of the glass shard.