Dimensional Analysis Practice Problems
1) The Pacific Giant Kelp is the longest growing kelp in the world at 198 feet long. How many
millimeters (mm) is this?
1 meter = 3.3 feet
2) The Pacific Giant Kelp grows at a rate of 18 in/day. How many centimeters per hour is this?
1 inch = 2.54 cm
3)
A sample of seawater contains 0.000245 g of sodium chloride per mL of solution. How many grams
of sodium chloride are contained in 50.0 mL of this solution?
4) You are doing research in the jungle about how many times a bird chirps. You observe a fast
chirping bird makes a noise every 30 seconds. How many times does this bird make that noise per
day?
5) A line transect is run and 3 earthworms are found every 2 feet. How many earthworms would be
found per yard? 1 yard = 3 ft
ANSWERS ON NEXT PAGE
Dimensional Analysis Practice Problems
1) The Pacific Giant Kelp is the longest growing kelp in the world at 198 feet long. How many
millimeters (mm) is this?
1 meter = 3.3 feet
1 𝑚𝑒𝑡𝑒𝑟
198 𝑓𝑒𝑒𝑡 ×
= 60 𝑚𝑒𝑡𝑒𝑟𝑠
3.3 𝑓𝑒𝑒𝑡
a. Answer: 60.0 meters converts to 60,000 mm
2) The Pacific Giant Kelp grows at a rate of 18 in/day. How many centimeters per hour is this?
18 𝑖𝑛𝑐ℎ𝑒𝑠
1 𝑓𝑜𝑜𝑡
1 𝑚𝑒𝑡𝑒𝑟 100 𝑐𝑚
1 𝑑𝑎𝑦
×
×
×
×
1 𝑑𝑎𝑦
12 𝑖𝑛𝑐ℎ𝑒𝑠 3.3 𝑓𝑒𝑒𝑡 1 𝑚𝑒𝑡𝑒𝑟 24 ℎ𝑜𝑢𝑟𝑠
a. Answer: 0.4572 m = 45.72 cm per day 1.905 cm/hr
3)
A sample of seawater contains 0.000245 g of sodium chloride per mL of solution. How many grams
of sodium chloride are contained in 50.0 mL of this solution?
a.
𝟎.𝟎𝟎𝟎𝟐𝟒𝟔 𝒈
×
𝟏𝑳
𝟓𝟎. 𝟎 𝒎𝑳 = 𝟎. 𝟎𝟏𝟐𝟐𝟓 𝒈/𝒎𝑳
4) You are doing research in the jungle about how many times a bird chirps. You observe a fast
chirping bird makes a noise every 30 seconds. How many times does this bird make that noise per
day?
1 𝑛𝑜𝑖𝑠𝑒
60 𝑠𝑒𝑐𝑜𝑛𝑑𝑠 60 𝑚𝑖𝑛 24 ℎ𝑜𝑢𝑟𝑠
×
×
×
30 𝑠𝑒𝑐𝑜𝑛𝑑𝑠
1 𝑚𝑖𝑛𝑢𝑡𝑒
1 ℎ𝑜𝑢𝑟
1 𝑑𝑎𝑦
a. 2880 chirps (noise)/ day
5) A line transect is run and 3 earthworms are found every 2 feet. How many earthworms would be
found per yard?
3 𝑤𝑜𝑟𝑚𝑠 3 𝑓𝑒𝑒𝑡
×
2 𝑓𝑒𝑒𝑡
1 𝑦𝑎𝑟𝑑
a.
4.5 worms/ yard