Unit Transformations Homework 4 Practice Quiz

Since 1 kilometer equals 1000 meters, multiplying 5 by 1000 gives you 5000 meters. This conversion uses the basic metric relationship between kilometers and meters.

Since 1 kilometer is 1000 meters, dividing 2500 by 1000 gives 2.5 kilometers. This demonstrates a straightforward unit conversion from meters to kilometers.

There are 100 centimeters in 1 meter, so dividing 200 centimeters by 100 yields 2 meters. This is a basic conversion within the metric system.

Since 1 minute equals 60 seconds, multiplying 3 by 60 gives you 180 seconds. This question applies a familiar time conversion factor.

There are 1000 milliliters in 1 liter by definition. This basic conversion in volume measurement is routinely used in practical scenarios.

First, convert 3.5 kilometers to meters by multiplying by 1000 (resulting in 3500 m), then convert meters to centimeters by multiplying by 100. This yields 350,000 centimeters.

There are 3600 seconds in one hour, making the conversion direct. This question reinforces time unit conversion using known constants.

Dividing 90 km by 1.5 hours gives 60 km/h. Converting 60 km/h to meters per second by multiplying by 1000 and then dividing by 3600 results in approximately 16.67 m/s. This question tests both division and conversion skills.

Since 1 meter equals 100 centimeters, 1 square meter equals 10,000 square centimeters. Multiplying 10,000 by 5 yields 50,000 square centimeters. This conversion emphasizes understanding of area scaling.

Since 1 liter is equivalent to 1000 milliliters, dividing 2000 by 1000 gives 2 liters. This is a straightforward conversion in liquid volume.

Since 12 inches make up 1 foot, dividing 48 inches by 12 results in 4 feet. This question reinforces understanding of the relationship between inches and feet.

To convert 120 km/h to m/s, multiply by (1000/3600) to obtain approximately 33.33 m/s. This conversion combines knowledge of both distance and time unit transformations.

Since 1 liter equals 1000 milliliters, half a liter is 500 milliliters. This question uses a common kitchen measurement conversion.

Multiplying 3.75 meters by 100 gives 375 centimeters. This conversion reinforces the basic metric relationship between meters and centimeters.

Since 1 square kilometer is equal to 1,000,000 square meters, multiplying 0.03 by 1,000,000 gives 30,000 square meters. This tests the ability to handle area unit conversions involving large numbers.

First convert the edge length from centimeters to millimeters; 5 cm equals 50 mm. Then compute the volume as 50³, which equals 125,000 cubic millimeters. This combines linear conversion with volume calculation.

One cubic meter is equivalent to 1000 liters, so multiplying 0.75 by 1000 gives 750 liters. This problem reinforces the conversion between cubic meters and liters.

To convert m/s² to km/h², multiply by 12960 (since 1 m/s² = 3.6 km/h per second and 3600 seconds in an hour, resulting in 3.6×3600 = 12960). Thus, 9.8 m/s² multiplied by 12960 gives 127008 km/h².

To find kilometers per liter, take the reciprocal of liters per 100 kilometers. Dividing 100 by 7 gives approximately 14.29 km/L. This conversion requires understanding inverse relationships in efficiency ratings.

There are 1,000,000 cubic centimeters in 1 cubic meter, so dividing 125000 by 1,000,000 yields 0.125 m³. This conversion tests understanding of volume units across different scales.