Dimensional Analysis Questions! Math Quiz

1. The liter is an International System (SI) measure of:

Time

Volume

Length

Mass

The liter is a unit of measurement used to quantify volume. It is part of the International System of Units (SI) and is commonly used to measure the capacity of liquids. One liter is equal to 1000 milliliters or 0.001 cubic meters. It is widely used in everyday life to measure the volume of beverages, containers, and other liquids.

Explanation

The liter is a unit of measurement used to quantify volume. It is part of the International System of Units (SI) and is commonly used to measure the capacity of liquids. One liter is equal to 1000 milliliters or 0.001 cubic meters. It is widely used in everyday life to measure the volume of beverages, containers, and other liquids.

2. When measuring time, a second in the SI system is the same as a second in the English system.

True

False

In the given statement, it is mentioned that a second in the SI system is the same as a second in the English system. This statement is true because both the SI system and the English system use the same unit of time measurement, which is the second. Therefore, regardless of the system being used, a second is universally defined as the same duration of time.

Explanation

In the given statement, it is mentioned that a second in the SI system is the same as a second in the English system. This statement is true because both the SI system and the English system use the same unit of time measurement, which is the second. Therefore, regardless of the system being used, a second is universally defined as the same duration of time.

3. How many centimeters are there in one inch?

25.44

0.39

2.54

1

One inch is equal to 2.54 centimeters. This conversion is a standard conversion used to convert measurements between the inch and centimeter units.

Explanation

One inch is equal to 2.54 centimeters. This conversion is a standard conversion used to convert measurements between the inch and centimeter units.

4. Which of the following prefixes will multiply the unit by 1,000?

Kilo-

Mega-

Centi-

Milli-

The prefix "kilo-" indicates multiplication by 1,000. Therefore, when this prefix is added to a unit, it increases the value of the unit by a factor of 1,000.

Explanation

The prefix "kilo-" indicates multiplication by 1,000. Therefore, when this prefix is added to a unit, it increases the value of the unit by a factor of 1,000.

5. Which of the following are English units of measure?

Foot

Pound

Second

All of the above

All of the given options - foot, pound, and second - are English units of measure. The foot is a unit of length, the pound is a unit of weight, and the second is a unit of time. Therefore, all three options are correct.

Explanation

All of the given options - foot, pound, and second - are English units of measure. The foot is a unit of length, the pound is a unit of weight, and the second is a unit of time. Therefore, all three options are correct.

6. Your coach tells the team that practice will include a 5-kilometer "fun" run. How many miles will you be running for "fun?"

1.6 miles

0.31 miles

3.1 miles

16 miles

The correct answer is 3.1 miles. This is because 5 kilometers is equivalent to 3.1 miles.

Explanation

The correct answer is 3.1 miles. This is because 5 kilometers is equivalent to 3.1 miles.

7. Which of the following is NOT an SI unit of measure?

Kilogram

Meter

Foot

Second

The foot is not an SI unit of measure. The International System of Units (SI) is a globally recognized system for measurement that is used in science, industry, and everyday life. It is based on seven base units, including the kilogram for mass, the meter for length, and the second for time. The foot, on the other hand, is a non-SI unit commonly used in the United States and a few other countries to measure length.

Explanation

The foot is not an SI unit of measure. The International System of Units (SI) is a globally recognized system for measurement that is used in science, industry, and everyday life. It is based on seven base units, including the kilogram for mass, the meter for length, and the second for time. The foot, on the other hand, is a non-SI unit commonly used in the United States and a few other countries to measure length.

8. Your friend wants to know his height using the SI system. He is six feet tall; what is the equivalent height in meters?

1.83 meters

6 meters

0.83 meters

1.38 meters

The correct answer is 1.83 meters. In the SI system, 1 meter is equal to approximately 3.28 feet. Therefore, to convert feet to meters, you divide the number of feet by 3.28. In this case, since your friend is 6 feet tall, you divide 6 by 3.28, which gives you approximately 1.83 meters.

Explanation

The correct answer is 1.83 meters. In the SI system, 1 meter is equal to approximately 3.28 feet. Therefore, to convert feet to meters, you divide the number of feet by 3.28. In this case, since your friend is 6 feet tall, you divide 6 by 3.28, which gives you approximately 1.83 meters.

9. You are given an object weighing 10 kilograms. What is the mass in English units?

2.2 pounds

22 pounds

0.22 pounds

None of the above

The mass of the object is 10 kilograms. To convert kilograms to pounds, we can use the conversion factor of 1 kilogram = 2.2 pounds. Therefore, the mass of the object in English units is 22 pounds.

Explanation

The mass of the object is 10 kilograms. To convert kilograms to pounds, we can use the conversion factor of 1 kilogram = 2.2 pounds. Therefore, the mass of the object in English units is 22 pounds.

10. While traveling in Canada, a police officer pulls you over for speeding. The posted speed limit is 100 kilometers per hour. She asks you if you know how fast you were driving. You suddenly realize that your speedometer's "100" measures miles per hour, not kilometers per hour. How fast were you going?

100 kilometers per hour

62 kilometers per hour

126 kilometers per hour

161 kilometers per hour

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Explanation

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