Density Calculations Worksheet I

Density Assignment #2
CLASS SET
density = mass
volume
DO WORK ON ANOTHER PAPER
UNITS OF DENSITY
solids (g/cm3) or liquids (g/mL)
1. Find the unknown quantity:
a) d = 3 g/mL
v= 100 mL
m = 300 grams
b) d = 0.1 g/mL
v = 950 mL
m = 95 g
c) d = 0.5 g/cm3
v = 40 cm3
m = 20 g
2. Find the unknown quantity (CONVERT FIRST to g or mL)
a) d = 24 g/mL
v = 1.2 L = _____ mL
m = 28,800 grams
b) d = 15 g/mL
v = 100 mL
m = 1.5 kg = 1,500 g
c) d = 0.001 g/mL (rounded)
v = 0.52 L = 520 mL
m = 500 mg = 0.5 g
WORD PROBLEMS
3. A block of aluminum occupies a volume of 15.0 cm3 and weighs 40 grams. What is its density?
2.67 g/mL
4. Liquid mercury metal is poured into a graduated cylinder that holds exactly 25 mL. The mercury
used to fill the cylinder weighs 300 g. Calculate the density of mercury. 12g/mL
5. What is the mass (in grams) of an unknown liquid that exactly fills a 200mL container? The density
of the unknown liquid is 0.80 g/mL. 160 grams
6. A rectangular block of copper metal weighs 2 kg. The dimensions of the block are 8 cm by 8 cm by
5 cm. From this data, what is the density of copper? (hint: find the volume of a block first)
6.25 g/cm3
7. What volume (in cm3) of silver metal will have a mass of 2,500 grams. The density of silver is 10
g/cm3. 250 cm3
8. A block of lead has dimensions of 4.50 cm by 5.00 cm by 6.00 cm. The block weighs 1,600 g. From
this information, calculate the density of lead. 11.9 g/cm3
9. A rectangular solid of unknown density is 5 meters long, 2 meters
high and 4 meters wide. The mass of this solid is 300 grams.
Calculate its density. 0.0000075 g/cm3
10. A rock occupies a volume of 20 cm3 and has a mass of 54
grams. Find the density of this rock. 2.7 g/cm3
5m
2m
4m
Density Assignment #2
CLASS SET
DO WORK ON ANOTHER PAPER
11. A graduated cylinder has 20 cm3 of water placed in it. An irregularly shaped rock is then dropped in
the graduated cylinder and the volume of the rock and water in the cylinder now
reads 30 cm3. The mass of the rock dropped into the graduated cylinder is 25
grams.
a. Find the volume of the rock dropped into the graduated cylinder. 10 cm3
b. Find the density of the rock dropped into the graduated cylinder. 2.5 g/cm3
Use the table below to answer the following questions #12-15:
Substance
Wood
Corn oil
Water
Density at 20 ◦C
0.70 g/cm3
0.92 g/cm3
1.00 g/cm3
Substance
Rubber
Corn Syrup
Copper
Density at 20 ◦C
1.34 g/cm3
1.38 g/cm3
8.80 g/cm3
12. An object with a mass of 24g and a volume of 32mL is most likely what substance?
0.75 g/cm3 closest density is wood (0.70 g/cm3)
13. What is the only object in the table that would sink in corn syrup?
Copper because 8.8 g/cm3 > 1.38 g/cm3
14. What is the mass of 100 cm3 of corn oil? 92 grams
15. What is the volume of 35g of copper? 3.98 cm3
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16. A rock has a density of 4 g/cm3 and a mass of 16 grams. What is the volume this rock occupies?
4 cm3
17. An unknown substance from planet X has a density of 10 g/mL. It occupies a volume of 80 mL.
What is the mass of this unknown substance?
800 grams
18. Freshwater (from a lake or river) has a density of 1.0 g/mL and ocean water has a density of 1.025
g/mL. Why are they different?
Ocean water has more salt than freshwater so the density of ocean water is greater
19. *A cube made of an unknown material has a height of 9 cm. The mass of this cube is 3,645 grams.
Calculate the density of this cube given this information. Hint: a cube has 6 equal sides
5 g/cm3
20. Draw the approximate position of the following objects (a-e, see below) when placed in a graduated
cylinder of water. Explain why you placed them as you did.
a)
styrofoam (D = 0.05 g/cm3)
b)
ice (D = 0.92 g/cm3)
c)
bone (D = 1.70 g/cm3)
d)
balsa wood (D = 0.16 g/cm3)
e)
gold (D = 19.32 g/cm3)
Correct Order (from top down):
Styrofoam, balsa wood, ice, bone, gold