Question

A block of iron has the dimensions of 3.00 cm x 3.00 cm x 3.00 cm. It has a mass of 213 g. What is its density?

0.0773 g/cm 3
638 g/cm 3
7.89 g/cm 3
6240 g/cm 3

Answer 1

`\huge{\boxed{7.89 g/cm^(3)}}`

Explanation:

The density of the iron block can be found by the formula:

`density( \rho) = (mass)/(volume)`

From the question:

mass = 213 g

The volume of the iron block can be found by using the formula v = l³ since all the sides are equal.

length of one side = 3.00 cm

`v = {3}^(3) = 27 {cm}^(3)`

`\therefore \rho = (213)/(27) = 7.8888... \approx7.89`