Chapter 1: Introduction, Measurement, Estimating

Reviewed by Editorial Team
The ProProfs editorial team is comprised of experienced subject matter experts. They've collectively created over 10,000 quizzes and lessons, serving over 100 million users. Our team includes in-house content moderators and subject matter experts, as well as a global network of rigorously trained contributors. All adhere to our comprehensive editorial guidelines, ensuring the delivery of high-quality content.
Learn about Our Editorial Process
| By Drtaylor
D
Drtaylor
Community Contributor
Quizzes Created: 57 | Total Attempts: 81,589
| Attempts: 221
SettingsSettings
Please wait...
  • 1/62 Questions

    A useful method of expressing very small or very large numbers is

    • Scientific notation.
    • Arabic numerals.
    • The metric system.
    • Roman numerals.
Please wait...
Chapter 1: Introduction, Measurement, Estimating - Quiz
About This Quiz

This quiz, titled 'Chapter 1: Introduction, Measurement, Estimating,' evaluates understanding in physics measurement techniques, focusing on precision, SI units, and scientific notation. It's designed to enhance learners' grasp of fundamental measurement concepts crucial for scientific studies.


Quiz Preview

  • 2. 

    The base SI unit of time is

    • Hour.

    • Minure.

    • Second.

    • Millisecond.

    Correct Answer
    A. Second.
    Explanation
    The base SI unit of time is the second. The second is defined as the duration of 9,192,631,770 periods of the radiation corresponding to the transition between two hyperfine levels of the ground state of the cesium-133 atom. It is a fundamental unit of measurement used in various scientific and everyday applications. The hour, minute, and millisecond are derived units of time based on the second.

    Rate this question:

  • 3. 

    How many meters is sixty kilometers?

    • 600,000 m

    • 60,000 m

    • 60 m

    • 0.06 m

    Correct Answer
    A. 60,000 m
    Explanation
    One kilometer is equal to 1000 meters. Therefore, to convert kilometers to meters, we need to multiply the number of kilometers by 1000. In this case, sixty kilometers would be equal to 60,000 meters.

    Rate this question:

  • 4. 

    Write the number 13.5 gigameters as full (decimal) numbers with standard units.

    • 135,000 m

    • 135,000,000 m

    • 135,000,000,000 m

    • 13,500,000,000 m

    Correct Answer
    A. 13,500,000,000 m
    Explanation
    The given answer is 13,500,000,000 m. This is the correct conversion of 13.5 gigameters to meters. The prefix "giga" represents a factor of 1,000,000,000, so 13.5 gigameters is equal to 13,500,000,000 meters.

    Rate this question:

  • 5. 

    What is the conversion factor between cm^2 and m^2?

    • 0.01 m^2/cm^2

    • 0.0001 m^2/cm^2

    • 100 m^2/cm^2

    • 10000 m^2/cm^2

    Correct Answer
    A. 0.0001 m^2/cm^2
    Explanation
    The conversion factor between cm^2 and m^2 is 0.0001 m^2/cm^2. This means that to convert from cm^2 to m^2, you divide the value in cm^2 by 10000. Conversely, to convert from m^2 to cm^2, you multiply the value in m^2 by 10000.

    Rate this question:

  • 6. 

    The position, x, of an object is given by the equation x = A + Bt + Ct^2, where t refers to time. What are the dimensions og A, B, and C?

    • Distance, distance, distance

    • Distance, time, time^2

    • Distance, distance/time, distance/time^2

    • Distance/time, distance/time^2, distance/time^3

    Correct Answer
    A. Distance, distance/time, distance/time^2
    Explanation
    The equation x = A + Bt + Ct^2 represents the position of an object as a function of time. The term A represents the initial position or displacement of the object, which has dimensions of distance. The term Bt represents the velocity of the object, as it is the product of a constant B and time, and therefore has dimensions of distance/time. Finally, the term Ct^2 represents the acceleration of the object, as it is the product of a constant C and time squared, and therefore has dimensions of distance/time^2. Therefore, the dimensions of A, B, and C are distance, distance/time, and distance/time^2 respectively.

    Rate this question:

  • 7. 

    0.0001776 can also be expressed as

    • 1.776 * 10^(-4)

    • 17.76 * 10^4

    • 1776 * 10^5

    • 177.6 * 10^7

    Correct Answer
    A. 1.776 * 10^(-4)
    Explanation
    The given number, 0.0001776, can be expressed in scientific notation as 1.776 * 10^(-4). In scientific notation, a number is written in the form of a decimal number between 1 and 10, multiplied by a power of 10. In this case, 1.776 is the decimal number and -4 is the power of 10. The negative exponent indicates that the decimal point is moved to the left by 4 places, resulting in a smaller number.

    Rate this question:

  • 8. 

    Write out the number 8.42 * 10^(-5) in full with a decimal point and correct number of zeros.

    • 0.00000842

    • 0.0000842

    • 0.000842

    • 0.00842

    Correct Answer
    A. 0.0000842
    Explanation
    The given correct answer is 0.0000842. This is because when we write out the number 8.42 * 10^(-5) in full with a decimal point and correct number of zeros, we move the decimal point 5 places to the left since the exponent is negative. This gives us 0.00000842. However, we need to remove the leading zeros, so the final answer is 0.0000842.

    Rate this question:

  • 9. 

    100 mL is equivalent to which of the following?

    • 1 kL

    • 10^(-6) μL

    • 0.1 L

    • 0.01 ML

    Correct Answer
    A. 0.1 L
    Explanation
    100 mL is equivalent to 0.1 L because there are 1000 mL in 1 L. Therefore, to convert mL to L, we divide the number of mL by 1000. In this case, 100 mL divided by 1000 equals 0.1 L.

    Rate this question:

  • 10. 

    4567.89 is properly expressed in scientific notation as

    • 4.56789 * 10^3.

    • 4.56789 * 10^2.

    • 4.56789 * 10^1.

    • 4.56789 * 10^0.

    Correct Answer
    A. 4.56789 * 10^3.
    Explanation
    The given number, 4567.89, can be expressed in scientific notation by moving the decimal point three places to the left, resulting in 4.56789. The exponent represents the number of places the decimal point was moved, which in this case is 3. Therefore, the correct answer is 4.56789 * 10^3.

    Rate this question:

  • 11. 

    Convert 1.2 * 10^(-3) to decimal notation.

    • 1.200

    • 0.1200

    • 0.0120

    • 0.0012

    Correct Answer
    A. 0.0012
    Explanation
    To convert a number in scientific notation to decimal notation, we move the decimal point to the right or left based on the exponent. In this case, the exponent is -3, so we move the decimal point 3 places to the left. Therefore, 1.2 * 10^(-3) in decimal notation is 0.0012.

    Rate this question:

  • 12. 

    The metric prefix for one thousand is

    • Milli.

    • Centi.

    • Kilo.

    • Mega.

    Correct Answer
    A. Kilo.
    Explanation
    The metric prefix "kilo" is used to represent one thousand. It is commonly used in various measurements, such as kilogram for one thousand grams, kilometer for one thousand meters, and kilowatt for one thousand watts. Therefore, "kilo" is the correct answer for the metric prefix for one thousand.

    Rate this question:

  • 13. 

    Write the number 0.00045 in power of ten notation.

    • 4.5 * 10^(-4)

    • 4.5 * 10^(-3)

    • 4.5 * 10^(-2)

    • 4.5 * 10^(-1)

    Correct Answer
    A. 4.5 * 10^(-4)
    Explanation
    The number 0.00045 can be written in power of ten notation as 4.5 * 10^(-4). This is because when we move the decimal point four places to the right, we get 4.5. Since the decimal point moved to the right, we need to represent this as a negative power of ten, which is -4. Therefore, the correct answer is 4.5 * 10^(-4).

    Rate this question:

  • 14. 

    If 1 inch = 2.54 cm, and 1 yd = 36 in., how many meters are in 7.00 yd?

    • 6.40 m

    • 36.3 m

    • 640 m

    • 1.78 * 10^3 m

    Correct Answer
    A. 6.40 m
    Explanation
    To convert yards to meters, we need to first convert yards to inches and then inches to centimeters, and finally centimeters to meters. Since 1 yard is equal to 36 inches, we can multiply 7 yards by 36 inches/yard to get the total inches. Next, we can convert the inches to centimeters by multiplying by the conversion factor of 2.54 cm/inch. Finally, to convert centimeters to meters, we divide by 100. By performing these calculations, we find that 7.00 yards is equal to 640 centimeters or 6.40 meters.

    Rate this question:

  • 15. 

    How many basic units does the SI system have?

    • Four

    • Five

    • Seven

    • Ten

    Correct Answer
    A. Seven
    Explanation
    The SI system has seven basic units. These units are the meter for length, kilogram for mass, second for time, ampere for electric current, kelvin for temperature, mole for amount of substance, and candela for luminous intensity. Each of these units is used as a base to derive other units in the SI system.

    Rate this question:

  • 16. 

    In the CGS sysytem, what are the fundemental units?

    • Newton, centimeter, second

    • Kilogram, meter, second

    • Gram, centimeter, minute

    • Gram, centimeter, second

    Correct Answer
    A. Gram, centimeter, second
    Explanation
    The fundamental units in the CGS system are gram for mass, centimeter for length, and second for time. This system is based on the centimeter-gram-second system of units, which is a variant of the metric system.

    Rate this question:

  • 17. 

    The metric prefix for one one-hundredth is

    • Milli.

    • Centi.

    • Kilo.

    • Mega.

    Correct Answer
    A. Centi.
    Explanation
    The metric prefix for one one-hundredth is "centi". This is because the prefix "centi" signifies a factor of 1/100 or 0.01. Therefore, centi is the correct answer as it represents the value of one one-hundredth in the metric system.

    Rate this question:

  • 18. 

    What is the result of (0.410 + 0.021) * (2.20 * 10^3)?

    • 880

    • 946

    • 948

    • 950

    Correct Answer
    A. 948
    Explanation
    The given expression involves addition and multiplication. First, we add 0.410 and 0.021 to get 0.431. Then, we multiply this result by 2.20 * 10^3. When we multiply 0.431 by 2.20 * 10^3, we move the decimal point three places to the right and get 948. Therefore, the correct answer is 948.

    Rate this question:

  • 19. 

    What is the cosine of 55°?

    • 0.6

    • 0.57

    • 0.574

    • 0.5736

    Correct Answer
    A. 0.57
    Explanation
    The cosine of an angle is defined as the ratio of the length of the adjacent side to the length of the hypotenuse in a right triangle. In this case, since we are given only the angle, we cannot determine the lengths of the sides of the triangle. However, we can use a calculator or a trigonometric table to find the cosine of 55 degrees, which is approximately 0.57.

    Rate this question:

  • 20. 

    Select the smallest value.

    • 15 * 10^(-3)

    • 0.15 * 10^0

    • 0.00015 * 10^3

    • 0.00000015 * 10^6

    Correct Answer
    A. 15 * 10^(-3)
    Explanation
    The given options represent values in scientific notation. In scientific notation, a number is expressed as a product of a decimal number between 1 and 10 and a power of 10. The smallest value can be determined by comparing the decimal numbers. In this case, 15 * 10^(-3) has the smallest decimal number (15), making it the smallest value among the given options.

    Rate this question:

  • 21. 

    All of the following are base units of the SI system except:

    • Kilogram.

    • Kelvin.

    • Meter.

    • Volt.

    Correct Answer
    A. Volt.
    Explanation
    The SI system, also known as the International System of Units, is a globally recognized system of measurement. It consists of seven base units, which are the kilogram, kelvin, meter, second, ampere, mole, and candela. These base units are used to derive all other units of measurement. The volt, however, is not a base unit of the SI system. It is a derived unit used to measure electric potential difference and electromotive force.

    Rate this question:

  • 22. 

    The number of siginificant figures in 10001 is

    • Two.

    • Three.

    • Five.

    • Six.

    Correct Answer
    A. Five.
    Explanation
    The number 10001 has five significant figures because all non-zero digits are significant, and the zero in the middle is also significant as it is between two non-zero digits.

    Rate this question:

  • 23. 

    The number of significant figures in 0.01500 is

    • Two.

    • Three.

    • Four.

    • Five.

    Correct Answer
    A. Four.
    Explanation
    The number of significant figures in 0.01500 is four because all non-zero digits are significant, and the zeros between the non-zero digits are also significant. In this case, the zeros before the 1 are not significant because they act as placeholders. Therefore, the significant figures in 0.01500 are 1, 5, 0, and 0.

    Rate this question:

  • 24. 

    The number of significant figures in 0.040 is

    • One.

    • Two.

    • Three.

    • Four.

    Correct Answer
    A. Two.
    Explanation
    The number 0.040 has two significant figures because both the digits 4 and 0 are non-zero and are not leading or trailing zeros. The zeros in between the non-zero digits are also considered significant. Therefore, there are two significant figures in 0.040.

    Rate this question:

  • 25. 

    What is the volume, and its approxiamte uncertainty, of a sphere of radius 1.96 ± 0.01 m?

    • 31.5 ± 0.2 m^2

    • 31.5 ± 0.3 m^2

    • 31.5 ± 0.4 m^2

    • 31.5 ± 0.5 m^2

    Correct Answer
    A. 31.5 ± 0.5 m^2
  • 26. 

    How many grams is forty milligrams?

    • 0.000040 g

    • 0.00040 g

    • 0.040 g

    • 40000 g

    Correct Answer
    A. 0.040 g
    Explanation
    Forty milligrams is equivalent to 0.040 grams. This can be determined by converting milligrams to grams. Since there are 1000 milligrams in a gram, dividing forty milligrams by 1000 will give the equivalent amount in grams, which is 0.040 grams.

    Rate this question:

  • 27. 

    Which is the largest area?

    • 2,500,000 cm^2

    • 100,000 cm^2

    • 7.5 m^2

    • 0.75 m^2

    Correct Answer
    A. 2,500,000 cm^2
    Explanation
    The largest area is 2,500,000 cm^2 because it has the highest value compared to the other options. The other options have smaller values, such as 100,000 cm^2, 7.5 m^2, and 0.75 m^2. Therefore, 2,500,000 cm^2 is the correct answer for the largest area.

    Rate this question:

  • 28. 

    Four students measure the mass of an object, each using a different scale. They record their results as follows: Which student used the most precise scale?

    • A

    • B

    • C

    • D

    Correct Answer
    A. A
    Explanation
    Student A used the most precise scale because their measurement has the smallest decimal place value, indicating a higher level of accuracy.

    Rate this question:

  • 29. 

    A hot air balloon rises to an altitude of 600 fathoms. What is this height, in feet? (1 fathom = 6 ft.)

    • 100 ft

    • 600 ft

    • 1200 ft

    • 3600 ft

    Correct Answer
    A. 3600 ft
    Explanation
    The hot air balloon rises to an altitude of 600 fathoms. Since 1 fathom is equal to 6 feet, we can calculate the height in feet by multiplying the number of fathoms by 6. Therefore, 600 fathoms multiplied by 6 feet equals 3600 feet.

    Rate this question:

  • 30. 

    Four students measure the mass of an object, each using a different scale. They record their results as follows: Which student used the least precise scale?

    • A

    • B

    • C

    • D

    Correct Answer
    A. C
    Explanation
    Student C used the least precise scale because their recorded mass has the most decimal places. The more decimal places in a measurement, the more precise it is. In this case, the other students' measurements have fewer decimal places, indicating that their scales are more precise.

    Rate this question:

  • 31. 

    The metric prefix for one one-thousandth is

    • Milli.

    • Centi.

    • Kilo.

    • Mega.

    Correct Answer
    A. Milli.
    Explanation
    The metric prefix for one one-thousandth is "milli". This prefix is commonly used in the metric system to denote a factor of 1/1000. For example, one millimeter is equal to one one-thousandth of a meter. The prefix "centi" denotes a factor of 1/100, "kilo" denotes a factor of 1000, and "mega" denotes a factor of 1 million. However, in this case, the correct prefix for one one-thousandth is "milli".

    Rate this question:

  • 32. 

    Which of the following has three significant figures?

    • 305.0 cm

    • 0.0500 mm

    • 1.00081 kg

    • 8.060 * 10^11 m^2

    Correct Answer
    A. 0.0500 mm
    Explanation
    The number 0.0500 mm has three significant figures because all the zeros between the non-zero digits are significant. The zeros before the 5 are not significant because they are leading zeros. However, the zero after the 5 is significant because it is a trailing zero after a decimal point. Therefore, the number has three significant figures.

    Rate this question:

  • 33. 

    Select the list which contains only SI basic units.

    • Liter, meter, second, watt

    • Joule, kelvin, kilogram, watt

    • Candela, kelvin, meter, second

    • Joule, Newton, second, watt

    Correct Answer
    A. Candela, kelvin, meter, second
    Explanation
    The correct answer is candela, kelvin, meter, second. These units are all part of the International System of Units (SI). The candela is the SI unit for luminous intensity, the kelvin is the SI unit for temperature, the meter is the SI unit for length, and the second is the SI unit for time.

    Rate this question:

  • 34. 

    How many m/s is 50 mi/h equivalent to? (1 mi = 1609 m.)

    • 49 m/s

    • 2.2 m/s

    • 22 m/s

    • 45 m/s

    Correct Answer
    A. 22 m/s
    Explanation
    To convert from miles per hour (mi/h) to meters per second (m/s), we need to multiply the given value by the conversion factor of 0.44704. Therefore, 50 mi/h is equivalent to 50 * 0.44704 = 22.352 m/s. Since the question asks for the value rounded to the nearest meter per second, the correct answer is 22 m/s.

    Rate this question:

  • 35. 

    What is the product of 12.56 and 2.12?

    • 27

    • 26.6

    • 26.23

    • 26.627

    Correct Answer
    A. 26.6
    Explanation
    The product of 12.56 and 2.12 is 26.6. To find the product, we multiply the two numbers together. In this case, 12.56 multiplied by 2.12 equals 26.6.

    Rate this question:

  • 36. 

    What, approximately, is the percent uncertainty for the measurement 5.2?

    • 1%

    • 2%

    • 3%

    • 4%

    Correct Answer
    A. 2%
  • 37. 

    1 angstrom = 10^(-10) m and 1 fermi = 10^(-15) m, what is the relationship between these units?

    • 1 angstrom = 10^(5) fermi

    • 1 angstrom = 10^(-5) fermi

    • 1 angstrom = 10^(-25) fermi

    • 1 angstrom = 10^25 fermi

    Correct Answer
    A. 1 angstrom = 10^(5) fermi
    Explanation
    The relationship between angstrom and fermi can be determined by comparing their magnitudes. Since 1 angstrom is equal to 10^(-10) m and 1 fermi is equal to 10^(-15) m, we can convert 1 angstrom to fermi by multiplying it by 10^(-15)/10^(-10), which simplifies to 10^(-5). Therefore, 1 angstrom is equal to 10^(-5) fermi.

    Rate this question:

  • 38. 

    What is the conversion factor between km/h and m/s?

    • 0.0278 m/s

    • 0.278 m/s

    • 3.60 m/s

    • 16.7 m/s

    Correct Answer
    A. 0.278 m/s
    Explanation
    The conversion factor between km/h and m/s is 0.278 m/s. To convert from km/h to m/s, you divide the value in km/h by 3.6. Therefore, if you have a speed of 1 km/h, it is equivalent to 0.278 m/s.

    Rate this question:

  • 39. 

    What is the percent uncertainty in the measurement 2.58 ± 0.15 cm?

    • 2.9%

    • 5.8%

    • 8.7%

    • 12%

    Correct Answer
    A. 5.8%
    Explanation
    The percent uncertainty in a measurement is calculated by dividing the uncertainty by the measured value and then multiplying by 100. In this case, the uncertainty is 0.15 cm and the measured value is 2.58 cm. Dividing 0.15 by 2.58 gives approximately 0.058, and multiplying by 100 gives 5.8%. Therefore, the percent uncertainty in the measurement is 5.8%.

    Rate this question:

  • 40. 

    A football field is 120 yd long and 50 yd wide. What is the area of the football field, in m^2, if 1 yd = 91.44 cm?

    • 2.4 * 10^3 m^2

    • 3.7 * 10^3 m^2

    • 4.2 * 10^3 m^2

    • 5.0 * 10^3 m^2

    Correct Answer
    A. 5.0 * 10^3 m^2
    Explanation
    The area of the football field can be calculated by multiplying the length and width of the field. Converting the length and width from yards to meters by using the conversion factor 1 yard = 91.44 cm = 0.9144 m, we get a length of 120 yards * 0.9144 m/yard = 109.728 m and a width of 50 yards * 0.9144 m/yard = 45.72 m. Multiplying these values together gives us an area of 109.728 m * 45.72 m = 5011.5456 m^2. Rounding to the appropriate number of significant figures, the area of the football field is 5.0 * 10^3 m^2.

    Rate this question:

  • 41. 

    Express the following sum with the correct number of significant figures: 1.00 kg + 1531 g + 2.54 * 10^4 mg.

    • 2.56 kg

    • 27.9 kg

    • 2.53 kg

    • 2.79 kg

    Correct Answer
    A. 2.56 kg
    Explanation
    The given sum involves adding quantities with different units: kilograms, grams, and milligrams. To express the sum with the correct number of significant figures, we need to convert all the quantities to the same unit.

    First, convert 1531 g to kilograms by dividing by 1000: 1531 g = 1.531 kg.

    Next, convert 2.54 * 10^4 mg to kilograms by dividing by 1000 twice: 2.54 * 10^4 mg = 25.4 g = 0.0254 kg.

    Now, add the three quantities: 1.00 kg + 1.531 kg + 0.0254 kg = 2.5564 kg.

    Since the given quantities have three significant figures, the answer should also have three significant figures. Rounding the answer to three significant figures gives us 2.56 kg.

    Rate this question:

  • 42. 

    What is the result of 2.43 / 4.561?

    • 5.3278 * 10^(-1)

    • 5.328 * 10^(-1)

    • 5.33 * 10^(-1)

    • 5.3 * 10^(-1)

    Correct Answer
    A. 5.33 * 10^(-1)
    Explanation
    The result of dividing 2.43 by 4.561 is 0.53278. In scientific notation, this can be written as 5.3278 * 10^(-1). However, the answer options are in rounded form, so the closest option is 5.33 * 10^(-1), which is the correct answer.

    Rate this question:

  • 43. 

    How much longer (percentage) is a 100 m dash than a 100 yd dash? (1 yd = 0.9146 m.)

    • 3.5%

    • 6.5%

    • 8.5%

    • 12%

    Correct Answer
    A. 8.5%
    Explanation
    The correct answer is 8.5%. To find the percentage difference between the two distances, we need to calculate the difference in length and then express it as a percentage of the original distance. The difference between 100 m and 100 yd is 100 m - (100 yd * 0.9146 m/yd) = 100 m - 91.46 m = 8.54 m. To express this as a percentage of the original distance (100 m), we divide the difference (8.54 m) by the original distance (100 m) and multiply by 100. This gives us (8.54 m / 100 m) * 100 = 8.54%. Rounding to one decimal place, the answer is 8.5%.

    Rate this question:

  • 44. 

    If 1 inch = 2.54 cm, how many square centimeters are in 1.00 square in.?

    • 1.59

    • 2.54

    • 5.08

    • 6.45

    Correct Answer
    A. 6.45
    Explanation
    Since 1 inch is equal to 2.54 cm, we can use this conversion factor to find the number of square centimeters in 1 square inch. Since area is measured in square units, we need to square the conversion factor. Therefore, (2.54 cm)^2 = 6.45 square cm.

    Rate this question:

  • 45. 

    A ball has a radius of 3.23 cm. What is the volume of the ball in m^3?

    • 1.41 * 10^(-4)

    • 1.41

    • 4.23 * 10^(-4)

    • 4.23

    Correct Answer
    A. 1.41 * 10^(-4)
    Explanation
    To calculate the volume of a ball, we use the formula V = (4/3)Ï€r^3, where V is the volume and r is the radius. In this case, the radius is given as 3.23 cm. We need to convert the radius to meters before plugging it into the formula. Since 1 meter is equal to 100 centimeters, the radius in meters is 0.0323 m. Plugging this value into the formula, we get V = (4/3)Ï€(0.0323)^3. Evaluating this expression gives us the volume of the ball in cubic meters, which is approximately 1.41 * 10^(-4).

    Rate this question:

  • 46. 

    What is the sum of 2.67 + 1.976 + 2.1?

    • 6.7

    • 6.75

    • 6.746

    • 6.7460

    Correct Answer
    A. 6.7
    Explanation
    The sum of 2.67, 1.976, and 2.1 is equal to 6.746. However, since the given options only include answers rounded to one decimal place, the closest option is 6.7.

    Rate this question:

  • 47. 

    A rectangular garden measures 15 m long and 13.7 m wide. What is the length of a diagonal from one corner of the garden to the other?

    • 18 m

    • 19 m

    • 20 m

    • 4.1 * 10^2

    Correct Answer
    A. 20 m
    Explanation
    The length of the diagonal of a rectangle can be found using the Pythagorean theorem, which states that in a right triangle, the square of the hypotenuse (the longest side) is equal to the sum of the squares of the other two sides. In this case, the length and width of the rectangle form the two sides of the right triangle, and the diagonal is the hypotenuse. Therefore, the length of the diagonal can be found by calculating the square root of the sum of the squares of the length and width. In this case, the square root of (15^2 + 13.7^2) is approximately 20 m.

    Rate this question:

  • 48. 

    Which one of the following is not equivalent to 2.50 miles? (1 mi = 1.609, km = 5280 ft, 1 ft = 12 in.)

    • 1.32 * 10^4 ft

    • 1.58 * 10^5 in.

    • 4.02 * 10^3 km

    • 4.40 * 10^3 yd

    Correct Answer
    A. 4.02 * 10^3 km
    Explanation
    To find the equivalent of 2.50 miles, we need to convert it to different units. 1 mile is equal to 5280 feet, so 2.50 miles is equal to 2.50 * 5280 = 13200 feet. 1 mile is also equal to 1.609 kilometers, so 2.50 miles is equal to 2.50 * 1.609 = 4.0225 kilometers. Therefore, the option that is not equivalent to 2.50 miles is 4.02 * 10^3 km, as it is slightly different from the actual value of 4.0225 kilometers.

    Rate this question:

  • 49. 

    The average density of blood is 1.06 * 10^3 kg/m^3. If you donate a pint of blood to the Red Cross, what mass of blood have you donated, in grams? (1 pt = 1/2 L, 1 L = 1000 cm^3.)

    • 530 g

    • 0.530 g

    • 5300 g

    • 5.30 * 10^5 g

    Correct Answer
    A. 530 g
    Explanation
    To find the mass of blood donated, we need to convert the volume of blood from pints to liters and then to cubic meters. Since 1 pint is equal to 1/2 liter, the volume of blood donated is 1/2 liter. Converting 1/2 liter to cubic meters, we get 1/2 * (1/1000) = 1/2000 cubic meters.

    Next, we can use the density formula, density = mass/volume, to find the mass of blood. Rearranging the formula, mass = density * volume. Plugging in the given average density of blood (1.06 * 10^3 kg/m^3) and the volume (1/2000 cubic meters), we get mass = (1.06 * 10^3 kg/m^3) * (1/2000 m^3) = 0.53 kg.

    Finally, we convert the mass from kilograms to grams by multiplying by 1000. Therefore, the mass of blood donated is 0.53 kg * 1000 = 530 g.

    Rate this question:

Quiz Review Timeline (Updated): Mar 14, 2023 +

Our quizzes are rigorously reviewed, monitored and continuously updated by our expert board to maintain accuracy, relevance, and timeliness.

  • Current Version
  • Mar 14, 2023
    Quiz Edited by
    ProProfs Editorial Team
  • Sep 05, 2012
    Quiz Created by
    Drtaylor
Back to Top Back to top
Advertisement
×

Wait!
Here's an interesting quiz for you.

We have other quizzes matching your interest.