How many cups are in 2 qt? Conversion factors: 2 cups = 1 pt, and 2 pt = 1 qt. Show all work using dimensional analysis
To convert from quarts to cups, we can use the conversion factor 2 cups = 1 pt.
First, we'll convert quarts to pints. Since 2 pt = 1 qt, we can set up dimensional analysis as follows:
2 qt * (1 pt / 2 qt) = 1 pt
This means that 2 quarts is equal to 1 pint.
Next, we'll convert pints to cups. Since 2 cups = 1 pt, we can set up dimensional analysis as follows:
1 pt * (2 cups / 1 pt) = 2 cups
This means that 1 pint is equal to 2 cups.
Now we can put the two conversions together:
2 qt * (1 pt / 2 qt) * (2 cups / 1 pt) = 2 cups
Therefore, there are 2 cups in 2 quarts.
To convert 2 qt to cups using dimensional analysis, we'll use the conversion factors given:
1 qt = 2 pt
1 pt = 2 cups
So, we can set up the conversion equation as follows:
2 qt * (2 pt / 1 qt) * (2 cups / 1 pt)
Now, let's cancel out the units:
2 qt * (2 pt / 1 qt) * (2 cups / 1 pt)
= 2 qt * 2 cups
Multiplying across:
= 4 cups
Therefore, there are 4 cups in 2 qt.