Question
3 quarts \( =\square \) cups Convert each unit. Enter your answers in the boxes. \( 3 \frac{1}{4} \) gallons \( =\square \) cups \( =\square \) quarts fluid ounces
Ask by Savage Bates. in the United States
Feb 21,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
- 3 quarts = 12 cups
- 3 1⁄4 gallons = 52 cups
- 3 1⁄4 gallons = 13 quarts
- 3 1⁄4 gallons = 416 fluid ounces
Solution
To solve the problem, we need to convert the given quantities into cups, quarts, and fluid ounces.
### Known Conditions:
1. **Conversion Factors:**
- 1 quart = 4 cups
- 1 gallon = 4 quarts
- 1 quart = 32 fluid ounces
- 1 gallon = 128 fluid ounces
### Step 1: Convert 3 quarts to cups
Using the conversion factor:
\[
\text{Cups} = \text{Quarts} \times 4
\]
Substituting the value:
\[
\text{Cups} = 3 \times 4 = 12
\]
So, \( 3 \) quarts \( = 12 \) cups.
### Step 2: Convert \( 3 \frac{1}{4} \) gallons to cups and quarts
First, convert \( 3 \frac{1}{4} \) gallons to an improper fraction:
\[
3 \frac{1}{4} = \frac{13}{4} \text{ gallons}
\]
#### Convert gallons to quarts:
Using the conversion factor:
\[
\text{Quarts} = \text{Gallons} \times 4
\]
Substituting the value:
\[
\text{Quarts} = \frac{13}{4} \times 4 = 13
\]
So, \( 3 \frac{1}{4} \) gallons \( = 13 \) quarts.
#### Convert gallons to cups:
Using the conversion factor:
\[
\text{Cups} = \text{Gallons} \times 16
\]
Substituting the value:
\[
\text{Cups} = \frac{13}{4} \times 16 = 52
\]
So, \( 3 \frac{1}{4} \) gallons \( = 52 \) cups.
### Step 3: Convert gallons to fluid ounces
Using the conversion factor:
\[
\text{Fluid Ounces} = \text{Gallons} \times 128
\]
Substituting the value:
\[
\text{Fluid Ounces} = \frac{13}{4} \times 128 = 416
\]
So, \( 3 \frac{1}{4} \) gallons \( = 416 \) fluid ounces.
### Summary of Conversions:
- \( 3 \) quarts \( = 12 \) cups
- \( 3 \frac{1}{4} \) gallons \( = 52 \) cups \( = 13 \) quarts \( = 416 \) fluid ounces
### Final Answers:
- \( 3 \) quarts \( = 12 \) cups
- \( 3 \frac{1}{4} \) gallons \( = 52 \) cups
- \( 3 \frac{1}{4} \) gallons \( = 13 \) quarts
- \( 3 \frac{1}{4} \) gallons \( = 416 \) fluid ounces
Answered by UpStudy AI and reviewed by a Professional Tutor
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The Deep Dive
Did you know that one quart is equivalent to 4 cups? So, to convert 3 quarts to cups, simply multiply: \( 3 \text{ quarts} \times 4 \text{ cups/quart} = 12 \text{ cups} \). It's a quick and easy calculation that gets you the right answer in no time! Now, when converting \( 3 \frac{1}{4} \) gallons to cups, remember that 1 gallon is 16 cups! So, \( 3 \frac{1}{4} \) gallons becomes \( 3.25 \text{ gallons} \times 16 \text{ cups/gallon} = 52 \text{ cups} \). For quarts, this is \( 3.25 \times 4 = 13 \text{ quarts} \)! Easy peasy!