Name: ________________________
Hour: ____ Date: ___________
Chemistry: Activity – Measurements and Conversions
A. Measure the length, width, and height of a textbook to the nearest 0.1 cm.
centimeters (cm)
length (L)
width (W)
height (H)
B. Using your measurements from Part A, find the length, width, and height of the textbook in millimeters and
meters. Use the appropriate conversion factors. Show your work in the blank space on the left. Put
your answers in the tables on the right.
millimeters (mm)
length (L)
width (W)
height (H)
meters (m)
length (L)
width (W)
height (H)
C. Using the data above, find the area of each of the three faces of the book. Show your work on the left.
cm2
area LW
area WH
area HL
mm2
area LW
area WH
area HL
m2
area LW
area WH
area HL
D. Find the total surface area of the book in cm2, mm2, and m2. Show your work on the left; put your answers
in the table on the right.
total area (cm2)
total area (mm2)
total area (m2)
E. Find the volume of the book in cm 3, mm3, and m3. Show your work on the left; put your answers in the
table on the right.
volume (cm3)
volume (mm3)
volume (m3)
F. Use your data and calculations to answer the following questions. Circle your answer for each question.
1. By what factor do cm and mm differ?
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
2. By what factor do cm and m differ?
10
100
1,000
10,000
3. By what factor do m and mm differ?
10
100
1,000
10,000
4. By what factor do cm2 and mm2 differ?
10
100
5. By what factor do
10
100
6. By what factor do
10
100
7. By what factor do
10
100
1,000
cm2
10,000
and
1,000
m2
and
mm2
and
1,000
differ?
10,000
1,000
cm3
m2
differ?
10,000
mm3
differ?
10,000
8. By what factor do cm3 and m3 differ?
10
100
1,000
10,000
9. By what factor do m3 and mm3 differ?
10
100
1,000
10,000
KEY
Chemistry: Activity – Measurements and Conversions
A. Measure the length, width, and height of a textbook to the nearest 0.1 cm. Textbook “Modern Chemistry”
centimeters (cm)
B.
length (L)
26.1 cm
width (W)
20.7 cm
height (H)
3.9 cm
Using your measurements from Part A, find the length, width, and height of the textbook in millimeters and
meters. Use the appropriate conversion factors. Show your work in the blank space on the left. Put your
answers in the tables on the right.
 10 mm 
x mm  26.1 cm
  261 mm
millimeters (mm)
 1 cm 
10 mm = 1 cm
100 cm = 1 m
 10 mm 
x mm  20.7 cm
  207 mm
 1 cm 
 10 mm 
x mm  3.9 cm
  39 mm
 1 cm 
 1m 
x m  26.1 cm
  0.261 m
 100 cm 
 1m 
x m  20.7 cm
  0.207 m
 1 00 cm 
length (L)
261 mm
width (W)
207 mm
height (H)
39 mm
meters (m)
 1m 
x m  3.9 cm
  0.039 m
 100 cm 
length (L)
0.261 m
width (W)
0.207 m
height (H)
0.039 m
C. Using the data above, find the area of each of the three faces of the book. Show your work on the left.
Area LW
Area WH
Area HL
Area LW
Area WH
Area HL
Area LW
Area WH
Area HL
26.1cm20.7 cm  540.3cm2
20.7 cm3.9 cm  80.7 cm2
3.9 cm26.1cm  102 cm2
261mm207 mm  54,027mm
207 mm39 mm  8,073mm 2
39 mm261mm  10,179mm 2
cm2
2
540.3 cm2
area WH
80.7 cm2
area HL
102 cm2
mm2
0.261m0.207 m  0.054m or 5.40  10 m
0.207m0.039 m  0.00807m2 or 8.07  10-3 m2
0.039m0.261m  0.0102m2 or 1.02 10-2 m2
2
area LW
-2
area LW
54,027 mm2
area WH
8,073 mm2
area HL
10,179 mm2
2
m2
area LW
5.40 x 10-2 m2
area WH
8.07 x 10-2 m2
area HL
1.02 x 10-2 m2
D. Find the total surface area of the book in cm 2, mm2, and m2. Show your work on the left; put your answers
in the table on the right.
total area (cm2)
total area (mm2)
total area (m2)
E. Find the volume of the book in cm 3, mm3, and m3. Show your work on the left; put your answers in the
table on the right.
volume (cm3)
volume (mm3)
volume (m3)
F. Use your data and calculations to answer the following questions. Circle your answer for each question.
10. By what factor do cm and mm differ?
10
100
1,000
10,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
100,000
1,000,000
10,000,000
100,000,000
1,000,000,000
11. By what factor do cm and m differ?
10
100
1,000
10,000
12. By what factor do m and mm differ?
10
100
13. By what factor do
10
100
14. By what factor do
10
100
1,000
cm2
10,000
and
1,000
cm2
mm2
differ?
10,000
and
1,000
m2
differ?
10,000
15. By what factor do m2 and mm2 differ?
10
100
1,000
10,000
16. By what factor do cm3 and mm3 differ?
10
100
17. By what factor do
10
100
18. By what factor do
10
100
1,000
cm3
and
1,000
m3
10,000
and
1,000
m3
differ?
10,000
mm3
differ?
10,000
Activity – Measurements and Conversions
A. Name of textbook “Modern Chemistry”
B.
Length
Width
Height
10 mm = 1 cm
=
=
=
26.1 cm
20.7 cm
3.9 cm
100 cm = 1 m
 10 mm 
x mm  26.1 cm
  261 mm
 1 cm 
 10 mm 
x mm  20.7 cm
  207 mm
 1 cm 
 1m 
x m  26.1 cm
  0.261 m
 100 cm 
 1m 
x m  20.7 cm
  0.207 m
 1 00 cm 
 10 mm 
x mm  3.9 cm
  39 mm
 1 cm 
 1m 
x m  3.9 cm
  0.039 m
 100 cm 
C. Area LW
Area WH
Area HL
261mm207 mm  54,027mm 2
207 mm39 mm  8,073mm 2
39 mm261mm  10,179mm 2
Area LW
Area WH
Area HL
26.1cm20.7 cm  540.3cm2
20.7 cm3.9 cm  80.7 cm2
3.9 cm26.1cm  102 cm2
0.261m0.207 m  0.054m2 or 5.40  10-2 m2
0.207m0.039 m  0.00807m2 or 8.07  10-2 m2
0.039m0.261m  0.0102m2 or 1.02 10-2 m2
D. Total Area = 2 (LW) + 2 (WH) + 2 (HL)

 
 

Total Area  2 54,027 mm   28,073 mm   210,179 mm   1.45  10 mm
Total Area  2 5.4  10 m   28.07  10 m   21.02  10 m   1.45  10
Total Area  2 540.3 cm 2  2 80.7 cm 2  2 102 cm 2  1.45  10 3 cm 2
2
-2
2
2
-3
2
2
5
-2
2
E. Volume = LWH
Volume  26.1 cm20.7 cm3.9 cm  2.11  10 3 cm 3
Volume  261 mm 207 mm 39 mm   2.11  10 6 mm 3
Volume  0.261 m0.207 m0.039 m  2.11  10 -3 m 3
1 m = 100 cm = 1000 mm
1.
2.
3.
4.
5.
6.
7.
8.
9.
1 cm = 10 mm
100 cm = 1 m
1000 mm = 1 m
(1 cm)2 = (10 mm) 2
(100 cm)2 = (1 m) 2
(1000 mm)2 = (1 m) 2
(1 cm)3 = (10 mm) 3
(100 cm)3 = (1 m) 3
(1000 mm)3 = (1 m) 3
1 cm2 = 100 mm2
1000 cm2 = 1 m2
1000000 cm2 = 1 m2
1 cm3 = 1000 mm3
1000000 cm3 = 1 mm3
1000000 mm2 = 1 m3
10
100
1000
100
10,000
1,000,000
1000
1,000,000
1,000,000
2
-1
mm 2