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Unit Conversions

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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.