Geniuses admire effort, for no matter what your ability is, effort is what ignites that ability and
turns it into accomplishment.
Carol S. Dweck, Mindset
Name: ____________________________________________________
Date: ________________ Period: ___________________
Unit One: Measurement
Topic: Metric Conversions
Instructions:
 Look closely at your “Metric Conversions” growth results, and
note your current areas of weakness.
 Select a combination of questions below to earn at least 15
points.
o Be sure to focus your choices on your areas of weakness so
that you may improve.
o You may answer as many questions as you like.
o A maximum of 15 points will be credited in Synergy.
LEVEL ONE: FOUNDATIONAL KNOWLEDGE
[1 point per question ]
1. Convert 8.43 cm to millimeters.
2. Convert 2.41x102 dm to hectometers.
3. Convert 294.5 nm to meters.
4. Convert 1.445x104 fm to kilometers.
5. Room temperature is 72˚F or 22.2˚C. What is this temperature in
Kelvin?
6. The boiling point of table salt is 1,686 K. What is this temperature
in Celsius?
LEVEL TWO: SIMPLE APPLICATIONS [2 points per question]
7. Calculate the area of a rectangle whose length is 8.40 cm and width
is 52.5 mm. Report your answer in km2.
8. Density is calculated by dividing mass by volume. If the mass of an
object is 67.21 grams and the volume is 43.90 mm3, what is the
density of the object? Report your answer in g/cm3.
Geniuses admire effort, for no matter what your ability is, effort is what ignites that ability and
turns it into accomplishment.
Carol S. Dweck, Mindset
9. Calculate the volume of a cylinder whose radius is 0.55 m and
height is 1,040,000 micrometers. Report your answer in meters.
𝑽 = 𝝅𝒓𝟐 𝒉
LEVEL THREE: INTERMEDIATE APPLICATIONS [3 points per
question]
10. The radius of a USGA-regulation golf ball is 42.67 mm. Calculate
the area of the golf ball in square micrometers. 𝑨 = 𝟒𝝅𝒓𝟐
11. The diameter of a regulation lacrosse ball is 62.7 mm. Calculate
the volume of the ball in cubic meters.
𝟒
𝑽 = 𝟑 𝝅𝒓𝟑
12. Calculate the volume of a cylinder whose radius is 0.75 m and
height is 1,040,000 micrometers. Report your answer in millimeters.
𝑽 = 𝝅𝒓𝟐 𝒉
13. Calculate the volume of a block with the following measurements
in cubic decimeters.
Length = 3.4 cm
Width = 0.040 m
Height = 46 mm
LEVEL FOUR: ADVANCED APPLICATIONS [4 points per
question]
See Mrs. Tarvin for a quick tutorial on dimensional analysis before you
begin. The rest of the class will learn this method in a few days.
14. Convert 7.95 Gg to mg using dimensional analysis rather than
moving the decimal.
15. Convert 38.9 mm3 to m3 using dimensional analysis rather than
moving the decimal.
Name: ____________________________________________________
Date: ________________ Period: ___________________
Geniuses admire effort, for no matter what your ability is, effort is what ignites that ability and
turns it into accomplishment.
Carol S. Dweck, Mindset
Unit One: Measurement
Topic: Metric Conversions
Instructions:
 Look closely at your “Metric Conversions” growth results, and
note your current areas of weakness.
 Select a combination of questions below to earn at least 15
points.
o Be sure to focus your choices on your areas of weakness so
that you may improve.
o You may answer as many questions as you like.
o A maximum of 15 points will be credited in Synergy.
LEVEL ONE: FOUNDATIONAL KNOWLEDGE
[1 point per question ]
1. Convert 8.43 cm to millimeters. 84.3 mm
2. Convert 2.41x102 dm to hectometers. 0,241 hm
3. Convert 294.5 nm to meters. 0.000 000 2945 m
4. Convert 1.445x104 fm to kilometers. 0.000 000 000 000 014 450
km
5. Room temperature is 72˚F or 22.2˚C. What is this temperature in
Kelvin? 295.2 K
6. The boiling point of table salt is 1,686 K. What is this temperature
in Celsius? 1413 ˚C
LEVEL TWO: SIMPLE APPLICATIONS [2 points per question]
7. Calculate the area of a rectangle whose length is 8.40 cm and width
is 52.5 mm. Report your answer in km2. 4.41x10-9 km2
8. Density is calculated by dividing mass by volume. If the mass of an
object is 67.21 grams and the volume is 43.90 mm3, what is the
density of the object? Report your answer in g/cm3. 1530.98 g/cm3
Geniuses admire effort, for no matter what your ability is, effort is what ignites that ability and
turns it into accomplishment.
Carol S. Dweck, Mindset
9. Calculate the volume of a cylinder whose radius is 0.55 m and
height is 1,040,000 micrometers. Report your answer in meters.
𝑽 = 𝝅𝒓𝟐 𝒉 0.9883 m3
LEVEL THREE: INTERMEDIATE APPLICATIONS [3 points per
question]
10. The radius of a USGA-regulation golf ball is 42.67 mm. Calculate
the area of the golf ball in square micrometers. 𝑨 = 𝟒𝝅𝒓𝟐
2.288x1010µm2
11. The diameter of a regulation lacrosse ball is 62.7 mm. Calculate
the volume of the ball in cubic meters.
𝟒
𝑽 = 𝟑 𝝅𝒓𝟑 0.00103 m3
12. Calculate the volume of a cylinder whose radius is 0.75 m and
height is 1,040,000 micrometers. Report your answer in millimeters.
𝑽 = 𝝅𝒓𝟐 𝒉 1.838x109mm3
13. Calculate the volume of a block with the following measurements
in cubic decimeters. 0.0626 dm3
Length = 3.4 cm
Width = 0.040 m
Height = 46 mm
LEVEL FOUR: ADVANCED APPLICATIONS [4 points per
question]
See Mrs. Tarvin for a quick tutorial on dimensional analysis before you
begin. The rest of the class will learn this method in a few days.
14. Convert 7.95 Gg to mg using dimensional analysis rather than
moving the decimal. 7.95x1012 mg
15. Convert 38.9 mm3 to m3 using dimensional analysis rather than
moving the decimal. 3.89x10-8 m3