Lead has a density of 11.36 grams per cubic centimeter. Iron has a density of 7.87 grams per cubic centimeter. A rectangular prism with dimensions 5 cm by 10 cm by 8 cm is made of each material. To the nearest gram, how much greater is the mass of the prism made of lead than the one made of iron?

We have the following equation:

D = m / V

Where,

m: mass

V: volume

D: density.

The volume of the rectangular prism is:

V = (5) * (10) * (8)

V = 400 cm ^ 3

For Lead:

m = D * V

m = (11.36) * (400)

m = 4544 grams

For Iron:

m = D * V

m = (7.87) * (400)

m = 3148 grams

The difference of the masses is:

4544 - 3148 = 1396 grams

Answer:

The mass of the prism made of lead is 1396 grams than the one made of iron