Dimensional Analysis Practice

You roof has a leak. If it leaks at a rate of 14 drops per minute, how many hours will it take to fill a 5 gallon bucket? (20 drops = 1 mL; 30 mL = 1oz; 64 oz = 1 gal) [Round answer to 2 sig figs]

• 230 hours

• 950 hours

• 190 hours

• 1900 hours

A backyard pool is 15.8 feet wide, 19.2 feet long and 5.5 feet deep. What is this pool's volume in cubic meters? [1 meter = 3.28 ft] Round your final answer to 3 sig figs.

• 1610 m³

• 47.3 m³

• 16,600 m³

• 55.9 m³

How many hours are in a fortnight (2 weeks)?

1 week = 7 days; 1 day = 24 hours [Note: do not round answer]

• 672 hours

• 168 hours

• 336 hours

• 504 hours

How many decades are equal to 1.7 x 10²⁵ minutes? Round your final answer to 2 sig figs.

(60 min = 1 hour; 24 hours = 1 day; 7 days = 1 week; 52 weeks = 1 year; 10 years = 1 decade)

• 3.2 x 10¹⁸ decades

• 3.2 x 10¹⁹ decades

• 1.2 x 10²² decades

• 2.3 x 10²⁰ decades

On Dr. Davis' bookshelf, there are 23 science textbooks, each with an average of 31 chapters. If each chapter contains 5 pages, how many total pages are there? (Round your answer to 2 sig figs)

• 3.6 x 10⁴ pages

• 36 pages

• 3.6 x 10² pages

• 3600 pages

If each step is approximately 22 inches, how many steps will it take to walk down Main Street (a length of 0.25 miles)? Round your final answer to 2 sig figs.

• 680 steps

• 750 steps

• 940 steps

• 720 steps

A newborn baby eats 8 times a day. At each feeding, he eats 2.5 ounces of formula. How many days will it take

for the baby to eat 1000 ounces? (do not round your answer)

• 50 days

• 400 days

• 32 days

• 312 days

Jonathan raised 60 goats, then he traded all the goats for sheep at an exchange rate of 5 goats for 7 sheep. Next, he exchanged all the sheep for hogs at a rate of 4 sheep for 2 hogs. How many hogs did he get?

• 62 hogs

• 42 hogs

• 84 hogs

• 86 hogs

Eggs are shipped from a farm in trucks. Each carton of eggs holds 12 eggs. The cartons of eggs are placed in a crate that holds 20 cartons, which are packed in trucks that each carry 3130 crates of eggs. How many truckloads will it take to carry 3.75 x 10⁶ eggs? [Round your answer to 1 sig fig]

• 3 trucks

• 4 trucks

• 5 trucks

• 9 trucks

You have a summer job serving ice cream cones at the beach, serving an average of 25 cones per hour. You work 8 hours per day, 5 days a week, and get paid a salary of $940.34 every 2 weeks. Approximately how many ice cream cones will you have to serve to earn the $5,800 you are saving to buy a car? [Round your answer to 2 sig figs]

• 12,000 cones

• 62,000 cones

• 21,000 cones

• 95,000 cones