Question

practice: dimensional analysis
show all work as you complete each problem below. make sure to circle or put a box around your final
answer and double check your units!

1. 312 cups to liters
2. 158 lbs to grams
3. 19,100 cm to yards
4. 94 cups to gallons
5. 4,200 feet to kilometers
6. gabi has plans with her friends to go to a concert on her birthday in precisely 4.00 days. she is so

excited that she wants to know how many seconds she has left to wait. can you help her determine this?

1. your uncle danny just moved into a new apartment and wants to make his famous spaghetti sauce for

his new neighbors. unfortunately, he hasnt unpacked all of his kitchen utensils. his recipe calls for a 1/2
cup of oregano, however, he can only find a teaspoon to measure out his spices. how many teaspoons of
oregano would be the same as 1/2 a cup?

1. lamar has been running sprints to prepare for his next football game. he has found that he can maintain

his maximum speed for 45 yards. hes thinking of running in a 5 km race in a few months, but doesnt
know if he can maintain his maximum speed for the entire 5 km. help him determine how far he can
keep up his maximum speed.

Explanation:

Step1: Convert days to seconds

We know that \(1\) day \( = 24\) hours, \(1\) hour \(=60\) minutes and \(1\) minute \( = 60\) seconds.
So, \(4\) days \(=4\times24\times60\times60\) seconds.
First, \(4\times24 = 96\) (converting days to hours).
Then, \(96\times60=5760\) (converting hours to minutes).
Finally, \(5760\times60 = 345600\) (converting minutes to seconds).

Step2: Check the unit conversion

We can also use the formula \(t\) (in seconds) \(=t\) (in days)\(\times24\times60\times60\).
Substituting \(t = 4\) days, we get \(t=4\times24\times60\times60=345600\) seconds.

Answer:

\(345600\) seconds