Answer:
The mass of the block is [tex]168,000\ g[/tex]
Step-by-step explanation:
we know that
The density is equal to the mass divided by the volume
step 1
Find the volume of the granite block
we know that
The volume of a rectangular prism (granite block) is equal to
[tex]V=LWH[/tex]
substitute the values
[tex]V=(30)(40)(50)=60,000\ cm^{3}[/tex]
step 2
Find the mass of the block
[tex]D=\frac{m}{V}[/tex]
we have
[tex]V=60,000\ cm^{3}[/tex]
[tex]D=2.8\frac{g}{cm^{3}}[/tex]
substitute the values and solve for the mass
[tex]2.8=\frac{m}{60,000}[/tex]
[tex]m=2.8*60,000=168,000\ g[/tex]
