what is the total mass in kg and what is the maximum volume in L

Question

You are on the management team of a company that is considering purchasing a tanker truck. The truck you want has a volume of 24,000 liters and an empty mass/weight of 15,700 kg. However, the route you wish to travel has a bridge with a weight limit of 25 tons. If you purchase the truck and fill it to capacity with a liquid whose density is 0.80 kg/L,what will the mass of the truck be?

TOTAL MASS: ? kg

What is the maximum volume you will be able to legally transport?

Maximum volume: ? L

Answer 1

Total mass of truck if filled to capacity = (0.8 kg /L * 24000 L) + mass of truck = 19200 + 15700 = 34900 kg

Weight limit = 25 tons = 25 * 908 kg = 22700 kg. (Assuming 1 ton = 908 kg)

Additional weight the truck can carry = 22700 - 15700 = 7000 kg

Max volume for legal transport = 7000 kg / 0.8 kg /L = 8750 L