Units of Measurement (Physics)

Question

1. Help me find an alternate solution with final answer in converting 1 year to hours
2. Alternative Solution and Final Answer on how many weeks is there in a millennium
3. Fill a 2-liter container with three types of liquid, water, oil and soy sauce. If you have 75 centiliter of water and 9.5 deciliter of oil, then how many liters of soy sauce is needed to completely fill up the container? Give the answer and specific solution using centiliter as the Unit of Measurement

Thank you so much! I'm kind of new here in Physics and I want to learn more in-depth. God bless.

Answer 1

Since you do not share the "initial solution", it's pretty hard to know what an "alternate solution" is. However, here are a couple of ways to convert 1 year into hours:

You can do a similar thing with weeks in a millennium. Start with 1 millennium, convert one step at a time to get to weeks Example: (1000 years)/(1 millennium), (52.179 weeks)/(1 year), etc

In both of these examples, I accounted for leap year. You may or may not wish to do that.

For problem 3, in order to use centiliters as the unit of measure, you can convert everything to centiliters and then do the math. To do so, look up centiliter and you'll see it is one hundredth of a liter (or there are 100 centiliters in 1 liter).

Convert 2 liters into centiliters: 2 L x (100 cL)/(1 L) = 200 cL

Look up deciliters to find that it is one tenth of a liter (or there are 10 dL in 1 liter). Convert 9.5 deciliters into centiliters: 9.5 dL x (1 L)/(10 dL) x (100 cL)/(1 L) = 95 cL

So, 200 cL - 75 cL - 95 cL = 30 cL

Answer 2

1. A year is 365 days, 1 day is 24 hours, so in a year there are 365 x 24 hours
2. Millennium = 1000 years. This is 1000 x 365 days + 250 x 1 day [ because every four years we get an extra day], so 365,250 days. 7 days in a week, so 365250/7 = 52178.57 weeks
3. 1 liter = 100 centiliters. So 2 liters = 2 x 100 = 200 centiliters. 1 deciliter = 0.1 liter = 10 centiliters. so we have 75 cl water, and 10 x 9.5 = 95 cl of oil. So we need 200 - 75 - 95 = 30 cl of soy sauce to fill the container.