Dimensional Analysis
NAME:
Type your answers to the right of each question.
1. How many centimeters are in 6.00 inches (1 in = 2.54 cm)?
2. Express 24.0 cm in inches (1 in = 2.54 cm)?
3. How many seconds are in 2.0 years [provide answer in scientific notation]
4. How many millimeters are present in 20.0 inches(1 in = 2.54 cm)?
Convert the following units into hours:
5. 250,000 seconds
6. 48 seconds [provide answer in scientific notation]
7. 1.2 days
8. 0.789 year
Convert the following units into feet:
9. 8.9 yards (1 yd = 3 ft)
10. 45 inches (1 yd = 3 ft)
11. 5.3 miles (1 mile = 5280 ft)
12. 6.55 meters [provide answer in scientific notation] (1 mile = 1.61 km)
13. 4.82 km [provide answer in scientific notation] (1 km = 0.62 mile)
14. 1000256 cm [provide answer in scientific notation] (1 in = 2.54 cm)
Dimensional Analysis
15. I'm off to New York to try a career in the theatre. Unfortunately, I only have
$100 to get there. My car gets 30 miles/gallon on the highway, but gas prices
average $2.80/gallon across the country. If it is 2700 miles to New York, do I
have enough money to get there, or will I have to "play in Peoria" instead?
16. Your parents have offered to buy pizzas for you and 8 of your friends. Each
of you will eat 2.5 pieces of pizza. Each pizza has eight slices and costs $8.99
(tax free). How much money will your parents have to spend on pizza?
17. Suppose you need to have your hair cut every 90 days and each time you go to
the barber, you have exactly 2 inches cut off, how fast is your hair growing in miles
per hour? [Provide answer in scientific notation.]
18. A Mesquite High School senior was applying to college and wondered how many
applications she needed to send. Her counselor explained that with the excellent
grade she received in IPC she would probably be accepted to one school out of every
three to which she applied. She immediately realized that for each application she
would have to write 3 essays, and each essay would require 2 hours work. How
many hours will she have to work in order to gain acceptance to 10 colleges?