Question

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?

Answer 1

Answer: The unknown metal will be Copper.

Step-by-step 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:
`l* b* h=4* 1.5* 1.4=8.4cm^3`

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:

`Density=\frac{\text{Mass of an object}}{\text{Volume of an object}}`

We are given:

Density of unknown metal = ?

Mass of unknown metal = 75 g

Volume of unknown metal =
`8.4cm^3`

Putting values in above equation, we get:

`Density=(75g)/(8.4cm^3)`

`Density=8.92g/cm^3`

The calculate density matches the specific density of Copper metal.

Hence, the object is copper metal.