Here is a small selection: (Remember, D=M/V)
1. Your backpack has a 43 L capacity. While backpacking in a foreign land, you find some fresh coffee beans which you want to take home to share with your family, so you empty out your bag and fill it with beans. If the coffee beans have a density of 0.561 kg/L, how heavy will your backpack be?
2. When you were backpacking (in question 1!) you also found some very tasty chocolate powder which you knew your mother would enjoy. If the density of this chocolate powder is 0.641 kg/L, and you filled your 43 L backpack with chocolate powder instead of coffee beans, how much heavier would your backpack be?
3. A mechanic drains 3.4 L of used fuel oil out of your car, and when he weighs it, he finds that it weighs 3.45 kilograms. What is the density of the oil? The mechanic fills your car up with 3.4 L of clean fuel oil. If clean fuel oil has a density of 0.89012 kg/L, how much lighter will your car be with the new oil?
4. You want to buy as many apples as you can from the local farm. Apples are sold for $2.50 for a 10 kg bag. If the density of apples is 0.641 kg/L, and your 1995 Ford Escort wagon has a cargo capacity of 2,563 L, how many kilograms of apples can you stuff into your car, and how much will it cost?
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Answers in the comments