An object of unknown metal has the following dimensions: 4.00cm long, 1.50cm wide, and 1.40cm tall. The mass of the object is known to be 75.0g. What is the identity of the object?

Respuesta :

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.