Answer:
1) The mass that the backpack can hold when filled with gold is 694.8 kg of gold
2) The mass of the backpack is approximately 9.93 times the mass of an average student
Step-by-step explanation:
1) The given information are;
The dimension of the backpack = 30 cm × 30 cm × 40 cm
The mass of an average student = 70 kg
The volume of the backpack = 30 cm × 30 cm × 40 cm = 36000 cm³
The density of gold = 19.3 g/cm³
Therefor, the mass of the gold is given by the relation;
Density = Mass/Volume
Mass = Density × Volume
The mass of the pure gold = 19.3 g/cm³ × 36000 cm³ = 694,800 grams
1,000 grams = 1 kilogram = 1 kg
694,800 grams = 694,800 grams/(1,000 grams)×1 kg = 694.8 kg
The mass that the backpack can hold when filled with gold = 694.8 kg
2) Given that the mass of an average student = 70 kg, we have;
The mass of the bag of gold is 694.8 kg/(70 kg) or approximately 9.93 times heavier than the average student
The mass of the backpack is approximately 9.93 times the mass of an average student.