Mass, Length and Volume
Name__________________________
1. List the prefixes in the correct order from largest to smallest.
kilo- hecto- deka- (root) deci- centi- millig (gram)
m (meter)
L (liter)
What is the symbol and the value of each of the following?
2. milli-
___m__ __0.001___
4. deca-
__da __
6. hecto- __h___
__10__
_100__
3. kilo-
_k__
5. deci-
7. centi-
__1000__
__d___
__0.1__
__c___
__0.01__
9. 13.4 dm =
0.134 dam
Convert the following
8. 122.2 mm =
1.222 dm
10. 1.23 hg = 123 g
11. 12756 mL = 1.2756 L
12. 567 dm = 0.0567 km
13. 3.25 km = 32500 dm
14. 6.4 kg = 64000 dg
15. 9456.2 L = 94.562 hL
16. 4893 mg = 4.893 g
17. 12.4 dam = 12400 cm
18. What is the relationship between cm3, cc and mL?
All of these units represent the same volume quantity
What metric unit of measure would be most appropriate to use in measuring the following?
19. The length of a basket ball court?
m
21. The amount of gas in a truck?
L
23. A dose of liquid cough medicine?
mL
25. The mass of a car?
kg
27. The mass of an banana?
g
29. The altitude of a satellite?
km
20. The width of a pencil lead?
mm
22. The distance from St Louis to New York?
km
24. Liquid in a small glass of milk?
mL
26. The height of a building?
m
28. A large bottle of Mountain Dew?
L
30. The length of an iPad?
cm
Describe the water displacement method for finding the density of a object.
Fill a graduated cylinder with a measured amount of water. Add object to water. Read new value for
volume in graduated cylinder. Subtract initial volume from final volume. Mass object. Divide
mass of object by volume of object.
Describe a method for finding the density of a metal rectangular solid too large for water
displacement.
Find the product of l x w x h. This equals the volume of the rectangular
solid. Mass the object. Divide mass of object by volume of object.
Describe a method for finding the density of a metal cylinder too large for water
displacement.
Find the product of r x r x 3.14 x h. This is the volume of the cylinder.
Mass the cylinder. Divide mass of cylinder by volume of cylinder.
Describe a method for finding the density of a liquid.
Mass an empty graduated cylinder. Pour a sample of the liquid into the graduated cylinder.
Mass graduated cylinder plus the added liquid. Subtract mass of graduated cylinder from mass of
cylinder plus liquid. This is the mass of the liquid. Read volume of sample from graduated cylinder.
Divide mass of the liquid by volume of liquid.
The particles pictured are uniformly distributed throughout each object, and particles of the same
size have the same mass. Which are the most dense? Why? The least dense? Why? Which pairs
have the same densities? Why?
A
D
B
E
C
C and E are most dense-most
particles packed into given
space. B and D are least densefewest particles packed into
given space. C and E equally
dense, B and D equally dense.
Can see from distribution,
same number of particles
occupy same amount of space.
Length __51.8 cm_ Sig figs ___3__
10
20
30
40
50
60
70
.4
.5
.6
.7
4
5
6
7
400
500
600
700
1.5
1.6
1.7
1.8
Length _0.205 cm__ Sig figs__3__
.1
.2
.3
Length _6.65 cm__ Sig figs__3__
1
2
3
Length _412 cm__ Sig figs __3__
100
200
300
Length _1.654 cm__ Sig figs __4__
1.2
1.3
1.4
What is the equation for determining density? d = m/v
Given the density equation, what is the equation for calculating volume? v = m/d
Given the density equation, what is the equation for calculating mass? m = dv
What metric units may be used to measure length or distance?
Meters plus the prefixes
What metric units may be used to measure volume?
Liters plus prefixes; cc and cm3; any metric length raised to the power of 3
What metric units may be used to measure mass?
Grams plus prefixes
What measuring device is generally used to measure mass?
Balance...not a scale
What measuring device is generally used to measure metric volume?
Graduated cylinder
What measuring device is generally used to measure metric length or distance?
Meter stick
What is the difference between accuracy and precision?
Accuracy -how close the to the actual value
Precision-how close to one another
How would you explain or define the independent and dependent variables of a graph?
The independent variable is the quantity you control/change.
The dependent variable is the quantity that changes in response to a change in independent.
When labeling the axes of a graph, what goes on the x-axis and what on the y?
x-axis The independent variable along with label of quantity and units
y-axis The dependent variable along with label of quantity and units
What is the volume of liquid contained in the cylinder below (Don’t forget about precision of
measurement) When reading a graduated cylinder, what is the most important thing to remember?
30
20
10
The volume contained in the graduated cylinder is
27.0 mL. Always read to the bottom of the
meniscus and measure to one place beyond the
measurement you are confident of; that is, the one
you are able to read from the markings on the
cylinder.