Weight of iron weight lifting plate = 27.0 kg.
1 kg = 1000 grams
27.0 kg = 27 * 1000 = 27000 grams.
Volume of the plate = 3430 cm^3.
Density is given by formula (ρ) =

Plugging values of mass and volume in above formula, we get
ρ=

Dividing 27000 by 3430, we get
ρ=7.87 g/cm^3.
Therefore, the density of the iron plate 7.87 g/cm^3.