Answer:
28.12 kg
Explanation:
Here we are given that the density of copper is 8.92 g/ cm³ .
[tex]\sf \longrightarrow \rho_{(copper)}= 8.92 g/cm^3\\ [/tex]
And we are interested in finding out the mass of the given block . The dimensions of the block is 0.052m × 311mm × 19.5 cm .
- Firstly find out the volume in cm³ as the density is in cm³ .
[tex]\sf \longrightarrow Volume_{cuboid}= length * breadth * height \\ [/tex]
[tex]\sf \longrightarrow Volume = (0.052)(100) * (311\div 10) *(19.5) cm^3 \\ [/tex]
[tex]\sf \longrightarrow Volume = 5.2 * 31.1 * 19.5 cm^3 \\ [/tex]
[tex]\sf \longrightarrow Volume = 3153.54 cm^3\\ [/tex]
Now we may use Unitary Method to find out the mass of the block as ,
Mass of 1cm³ of copper is 8.92 g .
Mass of 3153.54 cm³ of copper will be 8.92*3153.54 g = 28129.57 g
- And we know that 1kg = 1000g , so
[tex]\sf \longrightarrow \underline{\boxed{\bf Mass_{Cu}= 28.12 \ kg }} \\ [/tex]
