Question

Can someone help with this, i’m getting lost in the steps. Like I start off right (i think) then it just gets confusing.

Answer 1

28.12 kg

Step-by-step explanation:

Here we are given that the density of copper is 8.92 g/ cm³ .

`\sf \longrightarrow \rho_((copper))= 8.92 g/cm^3\\`

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 .

`\sf \longrightarrow Volume_(cuboid)= length * breadth * height \\`

• 1cm = 0.01 m
• 1cm = 10mm

`\sf \longrightarrow Volume = (0.052)(100) * (311/ 10) *(19.5) cm^3 \\`

`\sf \longrightarrow Volume = 5.2 * 31.1 * 19.5 cm^3 \\`

`\sf \longrightarrow Volume = 3153.54 cm^3\\`

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

`\sf \longrightarrow \underline{\boxed{\bf Mass_(Cu)= 28.12 \ kg }} \\`