A large emerald with a mass of 812.04 grams was recently discovered in a mine. If the density of the emerald is 2.76grams over centimeters cubed, what is the volume? Round to the nearest hundredth when necessary, and only enter numerical values, which can include a decimal point.

Volume of emerald = 294.22cm³

Step-by-step explanation:

Given that

Mass of emerald = 812.04grams

Density of emerald = 2.76grams/cm³

Volume = ?

The equation for this relationship is ρ = m / V in which ρ is density, m is mass (kg or g) and V is volume (cm³ or m³) making the density unit kg/m³ or g/cm³.

Therefore from

Density = mass/volume

Volume = Mass/density

i.e

Volume of emerald = Mass of emerald / Density of emerald

Volume of emerald = 812.04grams / 2.76grams/cm³

Volume of emerald = 294.2174cm³ ~294.22cm³

Volume of emerald = 294.22cm³

step-by-step explanation: