Worksheet: SI Unit Multiples and Submultiples

In this worksheet, we will practice converting from a unit with a given SI prefix to the same unit with a different SI prefix.

Q1:

A person in good physical condition can provide 1.00×10 W of useful electrical power by doing mechanical work, neglecting any problems of generator efficiency and practical considerations such as resting time.

How many people would it take to run a 4.00-kW electric clothes dryer?

How many people would it take to replace a large electric power plant that generates 800 MW?

  • A 2 . 0 0 × 1 0
  • B 8 . 0 0 × 1 0
  • C 8 . 0 0 × 1 0
  • D 4 . 0 0 × 1 0
  • E 1 . 0 8 × 1 0

Q2:

A device called an insolation meter is used to measure the intensity of sunlight. It has an area of 100 cm2 and registers 6.50 W. What is the intensity in W/m2?

Q3:

The density of gold is 19.3 g/cm3. What is the density in kilograms per cubic meter?

Q4:

The density of nuclear matter is about 10 kg/m3. Given that 1 mL is equal in volume to 1 cm3, what is the density of nuclear matter in Mg/µL?

Prefix Symbol Meaning Prefix Symbol Meaning
yotta- Y 1024 yocto- y 10−24
zetta- Z 1021 zepto- z 10−21
exa- E 1018 atto- a 10−18
peta- P 1015 femto- f 10−15
tera- T 1012 pico- p 10−12
giga- G 109 nano- n 10−9
mega- M 106 micro- μ 10−6
kilo- k 103 milli- m 10−3
hecto- h 102 centi- c 10−2
deka- da 101 deci- d 10−1
  • A 1 0 Mg/µL
  • B 1 0 Mg/µL
  • C 1 0 Mg/µL
  • D 1 0 Mg/µL
  • E 1 0 Mg/µL

Q5:

Intensities to which the ear can respond, from the threshold of hearing to the intensity which causes damage after even brief exposure, differ by a factor of 10. If you could measure distances over the same range of values with a single instrument and the smallest distance that the instrument could measure was 1 mm, what would be the largest distance that the instrument could measure?

  • A 1 0 km
  • B10 m
  • C 1 0 km
  • D1 km
  • E 1 0 km

Q6:

What is the volume of Jupiter in cubic km3? Use a value of 10 m3 for the volume of Jupiter.

  • A 1 0 km3
  • B 1 0 km3
  • C 1 0 km3
  • D 1 0 km3
  • E 1 0 km3

Q7:

Mars has a mass of 6.42×10 kg and has a volume of 1.63×10 km3.

Calculate the density of Mars in kg/m3.

  • A 3 , 9 4 0 × 1 0 kg/m3
  • B 3 , 3 3 0 × 1 0 kg/m3
  • C 4 , 0 0 0 × 1 0 kg/m3
  • D 3 , 9 9 0 × 1 0 kg/m3
  • E 3 , 5 6 0 × 1 0 kg/m3

Calculate the diameter of Mars in km.

Q8:

For an 𝑅𝐿𝐶 series circuit, 𝑅=100Ω, 𝐿=150mH, and 𝐶=0.25µF.

If an ac source of variable frequency is connected to the circuit, at what frequency is maximum power dissipated in the resistor?

What is the quality factor of the circuit?

Q9:

What is the area of a circle 3.102 cm in diameter?

Q10:

Restate the mass 1.93×10 kg using a metric prefix such that the resulting numerical value is greater than one but less than 1,000.

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