Answer:
486kg
Step-by-step explanation:
Using the density concept, it is found that the mass of the marble is of 486 kg.
Density is mass divided by volume, thus d = \frac{m}{v}d=vm .
In this problem, the density is of 2.7 g/cm³.
The volume of a cuboid is given by the multiplication of their dimensions.
Density is in g/cm³, thus, we want the dimensions in centimetres.
Considering that 1m = 100 cm, the dimensions are 100 cm, 60 cm and 30 cm.
Thus, the volume, in cm³, is:
V = 100 \times 60 \times 30 = 180000V=100×60×30=180000
Then, the mass, in g is:
d = \frac{m}{v}d=vm
m = dv = 2.7(180000) = 486000m=dv=2.7(180000)=486000
Each kg has 1000g, thus, the mass of the marble is of 486 kg.
