Converting Customary Units - Free Printable

Problem: Converting Yards, Feet, and Inches

#### Step 1: Understand the Conversion Factors
- 1 yard = 3 feet
- 1 foot = 12 inches
- Therefore, 1 yard = 36 inches

Using these conversion factors, we can solve each part of the problem.

---

Part 1: Fill in the Blanks

#### 1) \( 3 \text{ yards} = \_\_\_ \text{feet} \)
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 3 \text{ yards} = 3 \times 3 = 9 \text{ feet} \)
- Answer: 9 feet

#### 2) \( \_\_\_ \text{inches} = 2 \text{ feet} \)
- \( 1 \text{ foot} = 12 \text{ inches} \)
- \( 2 \text{ feet} = 2 \times 12 = 24 \text{ inches} \)
- Answer: 24 inches

#### 3) \( \_\_\_ \text{inches} = 1 \text{ yard} \)
- \( 1 \text{ yard} = 36 \text{ inches} \)
- Answer: 36 inches

#### 4) \( 5 \text{ yards} = \_\_\_ \text{feet} \)
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 5 \text{ yards} = 5 \times 3 = 15 \text{ feet} \)
- Answer: 15 feet

#### 5) \( 21 \text{ feet} = \_\_\_ \text{yards} \)
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 21 \text{ feet} = \frac{21}{3} = 7 \text{ yards} \)
- Answer: 7 yards

#### 6) \( 4 \text{ feet} = \_\_\_ \text{inches} \)
- \( 1 \text{ foot} = 12 \text{ inches} \)
- \( 4 \text{ feet} = 4 \times 12 = 48 \text{ inches} \)
- Answer: 48 inches

#### 7) \( \_\_\_ \text{feet} = 36 \text{ inches} \)
- \( 1 \text{ foot} = 12 \text{ inches} \)
- \( 36 \text{ inches} = \frac{36}{12} = 3 \text{ feet} \)
- Answer: 3 feet

#### 8) \( 10 \text{ feet} = \_\_\_ \text{inches} \)
- \( 1 \text{ foot} = 12 \text{ inches} \)
- \( 10 \text{ feet} = 10 \times 12 = 120 \text{ inches} \)
- Answer: 120 inches

#### 9) \( 9 \text{ yards} = \_\_\_ \text{feet} \)
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 9 \text{ yards} = 9 \times 3 = 27 \text{ feet} \)
- Answer: 27 feet

#### 10) \( \_\_\_ \text{inches} = 2 \text{ yards} \)
- \( 1 \text{ yard} = 36 \text{ inches} \)
- \( 2 \text{ yards} = 2 \times 36 = 72 \text{ inches} \)
- Answer: 72 inches

#### 11) \( \_\_\_ \text{feet} = 72 \text{ inches} \)
- \( 1 \text{ foot} = 12 \text{ inches} \)
- \( 72 \text{ inches} = \frac{72}{12} = 6 \text{ feet} \)
- Answer: 6 feet

#### 12) \( 12 \text{ yards} = \_\_\_ \text{feet} \)
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 12 \text{ yards} = 12 \times 3 = 36 \text{ feet} \)
- Answer: 36 feet

#### 13) \( \_\_\_ \text{feet} = 8 \text{ yards} \)
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 8 \text{ yards} = 8 \times 3 = 24 \text{ feet} \)
- Answer: 24 feet

#### 14) \( \_\_\_ \text{inches} = 5 \text{ feet} \)
- \( 1 \text{ foot} = 12 \text{ inches} \)
- \( 5 \text{ feet} = 5 \times 12 = 60 \text{ inches} \)
- Answer: 60 inches

---

Part 2: Circle the Largest Amount in Each Box

#### Box 1:
- \( 1 \text{ yard} = 3 \text{ feet} \)
- \( 4 \text{ feet} \)
- \( 42 \text{ inches} = \frac{42}{12} = 3.5 \text{ feet} \)
- The largest is 4 feet.

#### Box 2:
- \( 11 \text{ feet} \)
- \( 3 \text{ yards} = 9 \text{ feet} \)
- \( 100 \text{ inches} = \frac{100}{12} \approx 8.33 \text{ feet} \)
- The largest is 11 feet.

#### Box 3:
- \( 5 \text{ feet} \)
- \( 80 \text{ inches} = \frac{80}{12} \approx 6.67 \text{ feet} \)
- \( 2 \text{ yards} = 6 \text{ feet} \)
- The largest is 80 inches.

#### Box 4:
- \( 11 \text{ feet} \)
- \( 105 \text{ inches} = \frac{105}{12} \approx 8.75 \text{ feet} \)
- \( 4 \text{ yards} = 12 \text{ feet} \)
- The largest is 4 yards.

---

Part 3: Compare Amounts Using >, <, or =

#### 1) \( 3 \text{ feet} \_\_\_ 32 \text{ inches} \)
- \( 3 \text{ feet} = 3 \times 12 = 36 \text{ inches} \)
- \( 36 \text{ inches} > 32 \text{ inches} \)
- Answer: >

#### 2) \( 1 \text{ yard} \_\_\_ 38 \text{ inches} \)
- \( 1 \text{ yard} = 36 \text{ inches} \)
- \( 36 \text{ inches} < 38 \text{ inches} \)
- Answer: <

#### 3) \( 2 \text{ yards} \_\_\_ 6 \text{ feet} \)
- \( 2 \text{ yards} = 6 \text{ feet} \)
- \( 6 \text{ feet} = 6 \text{ feet} \)
- Answer: =

#### 4) \( 18 \text{ feet} \_\_\_ 6 \text{ yards} \)
- \( 6 \text{ yards} = 18 \text{ feet} \)
- \( 18 \text{ feet} = 18 \text{ feet} \)
- Answer: =

#### 5) \( 30 \text{ inches} \_\_\_ 2 \text{ yards} \)
- \( 2 \text{ yards} = 72 \text{ inches} \)
- \( 30 \text{ inches} < 72 \text{ inches} \)
- Answer: <

#### 6) \( 6 \text{ feet} \_\_\_ 70 \text{ inches} \)
- \( 6 \text{ feet} = 72 \text{ inches} \)
- \( 72 \text{ inches} > 70 \text{ inches} \)
- Answer: >

#### 7) \( 7 \text{ yards} \_\_\_ 23 \text{ feet} \)
- \( 7 \text{ yards} = 21 \text{ feet} \)
- \( 21 \text{ feet} < 23 \text{ feet} \)
- Answer: <

#### 8) \( 13 \text{ yards} \_\_\_ 40 \text{ feet} \)
- \( 13 \text{ yards} = 39 \text{ feet} \)
- \( 39 \text{ feet} < 40 \text{ feet} \)
- Answer: <

#### 9) \( 5 \text{ feet} \_\_\_ 60 \text{ inches} \)
- \( 5 \text{ feet} = 60 \text{ inches} \)
- \( 60 \text{ inches} = 60 \text{ inches} \)
- Answer: =

#### 10) \( 2 \text{ yards} \_\_\_ 70 \text{ inches} \)
- \( 2 \text{ yards} = 72 \text{ inches} \)
- \( 72 \text{ inches} > 70 \text{ inches} \)
- Answer: >

---

Final Answers:

1. Part 1:
- 1) 9 feet
- 2) 24 inches
- 3) 36 inches
- 4) 15 feet
- 5) 7 yards
- 6) 48 inches
- 7) 3 feet
- 8) 120 inches
- 9) 27 feet
- 10) 72 inches
- 11) 6 feet
- 12) 36 feet
- 13) 24 feet
- 14) 60 inches

2. Part 2:
- Box 1: 4 feet
- Box 2: 11 feet
- Box 3: 80 inches
- Box 4: 4 yards

3. Part 3:
- 1) >
- 2) <
- 3) =
- 4) =
- 5) <
- 6) >
- 7) <
- 8) <
- 9) =
- 10) >

\boxed{\text{See detailed solutions above}}