Question

A block of metal has a width of 3.2 cm, a length of 17.1 cm, and height of 3.3 cm . its mass is 1.5 kg . calculate the density of the metal

Answer 1

The density of the metal block is calculated using the formula density = mass/volume, yielding a result of approximately 8.31 g/cm³, which aligns with typical metallic density values.

Step-by-step explanation:

To calculate the density of the metal block, we need to use the formula density = mass / volume. The volume of the metal block can be calculated by multiplying its width, length, and height. We have a width of 3.2 cm, a length of 17.1 cm, and a height of 3.3 cm. So, the volume is 3.2 cm × 17.1 cm × 3.3 cm, which equals 180.432 cm³. Now, with a mass of 1.5 kg (which is 1500 grams), we can determine the density by dividing the mass by the volume. Therefore, the density is 1500 g / 180.432 cm³, which equals approximately 8.31 g/cm³. This calculation confirms that metals have densities greater than that of water and that the result falls within the expected range for metallic substances.

Answer 2

Density is mass divided by volume. The volume of the metal is
`3.2 cm * 17.1 cm * 3.3 cm = 180.576 cm^3`. Please note that
`1 cm^3` is equivalent to
`1 mL`. The density is often given in grams per milliliter or kilograms per liter. So we need to convert one of these units. Choosing the mass,
`1.5 kg = 1,500 g`. Finally, we divide
`1,500` by
`180.576` to yield
`8.3 g/mL`, accounting for sig figs.

(This is very close in density to Terbium, but more analysis would be needed to identify the metal.)