Question

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?

Answer 1

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