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MATTER AND MEASUREMENT

DENSITY PROBLEMS 2º ESO

1: You have a rock with a volume of 15 cm3 and a mass of 45 g. What is its density?

2: You have a different rock with a volume of 30cm3 and a mass of 60g. What is its density?

3: In the above two examples which rock is heavier? Which is lighter?

4: In the above two examples which rock is denser? which is less dense?

5: You decide you want to carry a boulder home from the beach. It is 30 centimeters on each side, and so has a volume of 27,000 cm3. It is made of granite, which has a typical density of 2.8 g/cm3. How much will this boulder weigh

 6: Rocks are sometimes used along coasts to prevent erosion. If a rock needs to weigh 2,000 kilograms (about 2 tons) in order not to be shifted by waves, how big (what volume) does it need to be? You are using basalt, which has a typical density of 3200 kg/m3

7: A golden-colored cube is handed to you. The person wants you to buy it for $100, saying that is a gold nugget. You pull out your old geology text and look up gold in the mineral table, and read that its density is 19.3 g/cm3. You measure the cube and find that it is 2 cm on each side, and weighs 40 g. What is its density? Is it gold? Should you buy it?

TAKE A REVIEW: PROBLEMS WITH SOLUTIONS

Calculate:
a) The density of a cube of 200 g and a side of 6 cm. 
b) The mass of a sphere with a radio of 8’5 cm and a density of 6 ́5 kg/l. 
c) The volume of 44 ́5 g of a substance with a density of 7 kg/l. 
d) The density of a box of 890 g and dimensions 6 ́4 cm x 7 ́3 cm x 9 ́2 cm. 
e) The volume of 340 g of a body with a density of 2 ́43 kg/l. 
f) The mass of a cylinder with a radius of 5 cm, a height of 40 cm and a density of 3 ́2 kg/l. 

Solution:a) 0 ́926 g/cm3 b) 16 ́7 kg c) 6 ́36 cm3 d) 2 ́07 g/cm3 e) 140 cm3 f) 10 ́1 kg  
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