Dimensional Analysis Quiz
Questions: 16 · 10 minutes
1. A cyclist travels at 12 meters per second. What is the speed in kilometers per hour?
3.33 km/h
20.0 km/h
120 km/h
43.2 km/h
2. Which ratio is a valid conversion factor equal to 1?
1 m / 100 cm
1 m / 1,000 cm
1 kg / 100 g
1 min / 100 s
3. A pump moves liquid at 120 milliliters per minute. What is the equivalent rate in liters per hour?
0.12 L/h
7.2 L/h
72 L/h
2.0 L/h
4. Which setup correctly converts 250 centimeters to meters?
250 cm × (100 cm / 1 m)
250 cm × (1 m / 100 cm)
250 cm × (1 cm / 100 m)
250 cm × (100 m / 1 cm)
5. A solid has a mass of 540 grams and a volume of 200 cubic centimeters. What is its density?
0.37 g/cm³
1.7 g/cm³
2.7 g/cm³
108 g/cm³
6. Which factor-label setup correctly converts 72 kilometers per hour to meters per second?
72 km/h × (1 km / 1,000 m) × (3,600 s / 1 h)
72 km/h × (1,000 m / 1 km) × (3,600 s / 1 h)
72 km/h × (1,000 m / 1 km) × (1 h / 3,600 s)
72 km/h × (1 km / 1,000 m) × (1 h / 3,600 s)
7. Distance has dimensions of length, speed has dimensions of length divided by time, and t represents time. Which equation is dimensionally consistent?
Distance equals time divided by speed
Distance equals speed divided by time
Distance equals speed multiplied by time
Distance equals speed plus time
8. A task takes 90 minutes. Which result correctly expresses that duration in hours?
0.90 h
1.5 h
1.30 h
5.4 h
9. A sample has a mass of 0.45 kilograms. What is its mass in grams?
45 g
450 g
4,500 g
0.00045 g
10. A surface covers 2.5 square meters. What is its area in square centimeters?
250 cm²
250,000 cm²
2,500 cm²
25,000 cm²
11. A material has a density of 5.0 g/cm³. What is this density in kg/m³?
5,000 kg/m³
500 kg/m³
50 kg/m³
50,000 kg/m³
12. A tank has a volume of 0.006 cubic meters. Given that 1 m³ = 1,000 L, what is its volume in liters?
0.006 L
0.6 L
60 L
6 L
13. A walking route is 3.5 kilometers long. How many meters is that?
3,500 m
350 m
35,000 m
0.0035 m
14. Which expression can be inserted into a calculation as a conversion factor without changing the physical quantity?
100 cm / 1 m
1 m / 10 cm
1 kg / 100 g
1 h / 60 s
15. A container holds 3 liters. Using 1 mL = 1 cm³, what is its volume in cubic centimeters?
30 cm³
300 cm³
30,000 cm³
3,000 cm³
16. Using the exact relationship 1 meter = 100 centimeters, which value expresses 2.40 meters in centimeters while preserving three significant figures?
24.0 centimeters
2.40 × 10³ centimeters
240 centimeters
0.0240 centimeter