Answer:
The mass of the cubic granite block is 1408 g .
Step-by-step explanation:
Formula
Volume of a cube = a³
Where a is the side of the cube .
[tex]Density = \frac{Mass}{Volume}[/tex]
As given
one side of the cube is 8 cm .
(The figure is shown below.)
Thus
Put in the formula
Volume of a cubic granite block = 8 × 8 × 8
= 512 cm³
As given
The density of cube is 2.75 g/cm³.
Put in the formula
[tex]2.75 = \frac{Mass}{512}[/tex]
Mass = 2.75 × 512
Mass = 1408 g
Therefore the mass of the cubic granite block is 1408 g .