Answer: The unknown metal will be Copper.
Explanation:
We are given an object of unknown metal having dimensions: 4 cm long, 1.5cm wide and 1.4 cm tall.
So, the volume of the object will be: [tex]l\times b\times h=4\times 1.5\times 1.4=8.4cm^3[/tex]
To identify the unknown metal, we compare the calculated density with the specific density of metals.
Now, to calculate the density of an object, we use the formula:
[tex]Density=\frac{\text{Mass of an object}}{\text{Volume of an object}}[/tex]
We are given:
Density of unknown metal = ?
Mass of unknown metal = 75 g
Volume of unknown metal = [tex]8.4cm^3[/tex]
Putting values in above equation, we get:
[tex]Density=\frac{75g}{8.4cm^3}[/tex]
[tex]Density=8.92g/cm^3[/tex]
The calculate density matches the specific density of Copper metal.
Hence, the object is copper metal.