Textbook questions
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 cm3, 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
2. By what factor do cm and m differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
3. By what factor do m and mm differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
4. By what factor do cm2 and mm2 differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
5. By what factor do cm2 and m2 differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
6. By what factor do m2 and mm2 differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
7. By what factor do cm3 and mm3 differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
8. By what factor do cm3 and m3 differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
9. By what factor do m3 and mm3 differ?
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
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) |
|length (L) |26.1 cm |
|width (W) |20.7 cm |
|height (H) |3.9 cm |
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) |261 mm |
|width (W) |207 mm |
|height (H) |39 mm |
10 mm = 1 cm [pic]
| |meters (m) |
|length (L) |0.261 m |
|width (W) |0.207 m |
|height (H) |0.039 m |
100 cm = 1 m [pic]
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 |540.3 cm2 |
|area WH |80.7 cm2 |
|area HL |102 cm2 |
Area LW [pic]
Area WH [pic]
Area HL [pic]
| |mm2 |
|area LW |54,027 mm2 |
|area WH |8,073 mm2 |
|area HL |10,179 mm2 |
Area LW [pic]
Area WH [pic]
Area HL [pic]
Area LW [pic]
| |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 |
Area WH [pic]
Area HL [pic]
| |
|total area (cm2) |1.45x 103 cm2 |
|total area (mm2) |1.45 x 105 mm2 |
|total area (m2) |1.45 x 10-1 m2 |
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 = 2 (LW) + 2 (WH) + 2 (HL)
[pic]
E. Find the volume of the book in cm3, mm3, and m3. Show your work on the left; put your answers in the
table on the right.
| |
|volume (cm3) |2.11 x 103 cm3 |
|volume (mm3) |2.11 x 106 mm3 |
|volume (m3) |2.11 x 10-3 m3 |
Volume = LWH
[pic]
G. Use your data and calculations to answer the following questions. Circle your answer for each question.
1 m = 100 cm = 1000 mm
1. By what factor do cm and mm differ? 1 cm = 10 mm
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
2. By what factor do cm and m differ? 100 cm = 1 m
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
3. By what factor do m and mm differ? 1000 mm = 1 m
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
4. By what factor do cm2 and mm2 differ? (1 cm)2 = (10 mm) 2 1 cm2 = 100 mm2
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
5. By what factor do cm2 and m2 differ? (100 cm)2 = (1 m) 2 10000 cm2 = 1 m2
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
6. By what factor do m2 and mm2 differ? (1000 mm)2 = (1 m) 2 1000000 cm2 = 1 m2
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
7. By what factor do cm3 and mm3 differ? (1 cm)3 = (10 mm) 3 1 cm3 = 1000 mm3
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
8. By what factor do cm3 and m3 differ? (100 cm)3 = (1 m) 3 1000000 cm3 = 1 mm3
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
9. By what factor do m3 and mm3 differ? (1000 mm)3 = (1 m) 3 1000000000 mm3 = 1 m3
10 100 1,000 10,000 100,000 1,000,000 10,000,000 100,000,000 1,000,000,000
Activity – Measurements and Conversions
A. Name of textbook “Modern Chemistry” Length = 26.1 cm
Width = 20.7 cm
Height = 3.9 cm
B. 10 mm = 1 cm 100 cm = 1 m
[pic] [pic]
C. Area LW [pic] [pic]
Area WH [pic] [pic]
Area HL [pic] [pic]
Area LW [pic]
Area WH [pic]
Area HL [pic]
D. Total Area = 2 (LW) + 2 (WH) + 2 (HL)
[pic]
E. Volume = LWH
[pic]
1 m = 100 cm = 1000 mm
1. 1 cm = 10 mm 10
2. 100 cm = 1 m 100
3. 1000 mm = 1 m 1000
4. (1 cm)2 = (10 mm) 2 1 cm2 = 100 mm2 100
5. (100 cm)2 = (1 m) 2 10000 cm2 = 1 m2 10,000
6. (1000 mm)2 = (1 m) 2 1000000 cm2 = 1 m2 1,000,000
7. (1 cm)3 = (10 mm) 3 1 cm3 = 1000 mm3 1000
8. (100 cm)3 = (1 m) 3 1000000 cm3 = 1 mm3 1,000,000
9. (1000 mm)3 = (1 m) 3 1000000000 mm3 = 1 m3 1,000,000
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