Unit Conversions
1. The problem asks how many ounces are in 1 pound.
2. We know from standard measurement that 1 pound equals 16 ounces.
3. Therefore, the correct answer is B. 16.
4. The problem asks how many centimeters are in 1 millimeter.
5. Since 1 centimeter equals 10 millimeters, 1 millimeter equals $\frac{1}{10}$ centimeters or 0.1 centimeters.
6. Therefore, the correct answer is A. 0.1.
7. The problem asks which prefix represents 1,000 times a basic unit.
8. The prefix "kilo" means 1,000 times the base unit.
9. Therefore, the correct answer is C. kilo.
10. The problem asks how many centimeters are in 1 inch.
11. The exact conversion is 1 inch = 2.54 centimeters.
12. Therefore, the correct answer is B. 2.54.
13. The problem asks how many feet are in 2,678 centimeters.
14. First, convert centimeters to inches: $\frac{2678}{2.54} \approx 1054.33$ inches.
15. Then convert inches to feet: $\frac{1054.33}{12} \approx 87.86$ feet.
16. Therefore, the correct answer is D. 87.86.
17. The problem asks which formula represents the volume of a cylinder.
18. The volume of a cylinder is given by $V = \pi r^2 h$ where $r$ is radius and $h$ is height.
19. Therefore, the correct answer is D. $V = \pi r^2 h$.
20. The problem asks which units measure volume.
21. Units of volume are cubic units such as $km^3$, $in^3$, and $m^3$.
22. "mg" is a unit of mass, not volume.
23. Therefore, the correct answers are A. $km^3$, B. $in^3$, and C. $m^3$ but since only one choice is allowed, the best is C. $m^3$.
24. The problem asks how many square feet compose 1 square yard.
25. Since 1 yard = 3 feet, 1 square yard = $3^2 = 9$ square feet.
26. Therefore, the correct answer is D. 9.
27. The problem asks for the volume of a cylinder with radius 2 units and height 4 units.
28. Use formula $V = \pi r^2 h = \pi \times 2^2 \times 4 = 16\pi$ cubic units.
29. Therefore, the correct answer is B. 16$\pi$ cubic units.
30. The problem asks for the volume of a cylinder with diameter 20 units and height 17 units.
31. Radius $r = \frac{20}{2} = 10$ units.
32. Volume $V = \pi r^2 h = \pi \times 10^2 \times 17 = 1700\pi$ cubic units.
33. The closest answer is C. 1,500$\pi$ cubic units, but exact is 1700$\pi$.
34. Since 1,500$\pi$ is closest and others are far off, select C.
35. The problem asks which measurement is NOT equal to the others.
36. 36 inches = 3 feet = 1 yard (since 1 yard = 3 feet = 36 inches).
37. 1 meter = 39.37 inches approximately, so it is NOT equal to the others.
38. Therefore, the correct answer is D. 1 meter.