The Metric System
Dimensional Analysis
Volume
Density
100

How many centimeters are there in 1 meter?

100

100

Joe had to cut his 5 km run short due to a twisted ankle. He ran 3.5 km. How many miles is this? 

2.17 miles

100

A cube has an edge with a length of 3 cm. What is the volume of the cube?  

27 cubic centimeters

100

An object has a mass of 12 kg and a density of 2.5 kg/m3. What is the volume of the object? 

4.8 m3

200

Convert 125 grams to kilograms. 

0.125 kg

200

A weight at the gym weighs 15 pounds. How many tons is this? 

0.0075 tons

200

A bathtub that was filled with 10 liters of water. When a medicine ball was placed in, the water level rose to 12.6 liters. Then, a golf ball was placed in and the water level rose to a level of 12.8 liters. What is the volume of the golfball?

0.2 L

200

A cube has an edge with a length of 2.5 cm. If the cube has a mass of 18.7 grams, what is the density of the cube in g/cm3?

1.2 g/cm3

300

Convert 0.0012 km to cm. 

120 cm

300

A football player got the first down by running for 11 yards on the play. How many centimeters is this?

1005.84 cm

300

A pyramid has a length of 2 m and a width of 3.4 m. If the volume of the pyramid is 19.1 m3, what is the height?  

8.4 m

300

Rank the following samples from least dense to most dense: 

BAC

400

Draw the metric conversion "staircase" with the appropriate metric prefix labeled on each step. 

Kilo, Hecto, Deca, "BASE", Deci, Centi, Milli 

400

A race car is traveling at 110 miles/hour. How many feet/sec is this?

161.3 ft/s

400

Lisa was camping with her family, when she noticed that the tent she was sleeping in was a perfect triangular prism! Ever prepared to find the volume of a 3-dimensional object, she found that the volume was 2.89 m3. If the base was 1.7 meters, and the height of the tent was 1.5 meters, what was the length?

2.27 meters

400

A sphere is placed into a graduated cylinder. The mass of the sphere is 126 grams. If the radius of the sphere is 2.2 cm, what is the density of the object? Leave your answer in g/cm3.

2.83 g/cm3

500

Convert 430 nm to cm. 

0.000043 cm 

500

A medication is administered at a rate of 75 milligrams per kilogram of body weight per day. If a patient weighs 154 pounds, how many grams of medication should they receive in one week?

36.75 grams

500

A party hat that is in the shape of a perfect cone has a height of 20 cm and a volume of 523.6 cubic cm. What is the radius of the party hat?  

5 cm

500

A cylinder was placed in a graduated cylinder. The water level increased from 15 mL to 22 mL. The height of the cylinder is 6 cm. What is the radius of the cylinder?

0.61 cm

M
e
n
u