Weekly Assignment #3: Metric Conversions, Units Raised to a Power, and Density
Directions: On a separate piece of paper please answer all of the following problems. You DO NOT need to turn
this paper in with you work, but you do need to show work where appropriate.
DUE: Friday September 23rd
1. Complete the following table and write the conversion factors used to solve the problem:
s
ms
us
ns
1.31 x 10-4
a.
131
b.
d.
e.
f.
g.
h.
i.
j.
155
l.
1.99 x 10-3
m.
n.
p.
q.
8.66 x 10-5
r.
ps
c.
12.6
k.
o.
s.
2. Perform each of the following conversions within the metric system.
a. 1.08 Mm to kilometers
b. 4.88 fs to picoseconds
c. 7.39 x 1011 m to gigameters
d. 1.15 x 10-10 m to picometers
3. A modest sized house has an area of 215 m2. What is its area in the following units?
a. km2
b. dm2
c. cm2
4. A classroom has a volume of 285 m3. What is its volume in the following units?
a. km3
b. dm3
c. cm3
5. The ratio of an object's mass to its ________________ is called the density of the object.
6. The most common units for density are ________________.
7. For the masses and volumes indicated, calculate the density in grams per cubic centimeter.
a. mass 4.53 kg; volume = 225 cm3
b. mass = 26.3 g; volume = 25.0 mL
c. mass = 1.00 lbs; volume 500. cm3
d. mass = 352 mg; volume 0.271 cm3
8. Iron has a density of 7.87 g/cm3. If 52.4 g of iron is added to 75.0 mL of water in a graduated cylinder, to what
volume reading will the water level in the cylinder rise.
9. Use the information in Table 2.4 to calculate the volume if 50.0 g of each of the following of 50.0 g of each of the
following substances.
a. gold
b. iron
c. lead
d. aluminum
10. A material will float on the surface of a liquid if the material has a density less than that of the liquid. Given that
the density of the water is approximately 1.0 g/mL under many conditions, will a block of material having a volume
of 1.2 x 104 in3 and weighing 3.5 lbs float or sink when placed in water?