# Convert Customary Units of Length

## Convert Customary Units of Length

Welcome to our lesson on converting customary units of length! This topic is vital for understanding how different length units like inches, feet, yards, and miles relate to each other in the U.S. customary system. If you need some background learning on customary measurements, then check out Inches, Feet, Yards, and Miles first! Mastering this topic will help you in everyday measurements and math problems involving length. Let's dive in and make these conversions easy to understand.

## Understanding Convert Customary Units of Length

Converting customary units of length means changing a measurement from one unit, like inches, to another, like feet, within the U.S. customary system.

To convert between these units, we use multiplication or division based on how these units relate to each other.

When converting from a smaller unit to a larger unit, you use division. When converting from a larger unit to a smaller unit, you use multiplication. Here's a detailed explanation:

• Converting between Inches and Feet: Since there are 12 inches in a foot, to convert inches to feet, you divide the number of inches by 12. This means to convert feet to inches, you multiply the number of feet by 12.

• Converting between Feet and Yards: There are 3 feet in a yard. So, to convert feet to yards, divide the number of feet by 3. To convert yards to feet you need to multiply the number of yards by 3.

• Converting between Yards and Miles: One mile equals 1760 yards. To find out how many miles are in a certain number of yards, divide the number of yards by 1760. To find out how many yards are in a certain number of miles, you multiply the number of miles by 1760.

• Converting Between Inches and Yards or Miles: To convert inches directly to yards, divide the number of inches by 36 (since there are 36 inches in a yard). To convert inches to miles, divide the number of inches by 63,360 (the number of inches in a mile).

• Converting Between Feet and Miles: To convert feet to miles, divide the number of feet by 5280 (since there are 5280 feet in a mile). To convert miles to feet, multiply the number of miles by 5280.

Here's a simple table to help you remember these key conversions:

Unit Equals
1 foot 12 inches
1 yard 3 feet (or 36 inches)
1 mile 1760 yards (or 5280 feet)

Let’s check your understanding before we practice converting customary units of length.

## Convert Customary Units of Length – Detailed Examples

Now we can walk through how to convert customary units of lengths with two examples. Make sure to follow along carefully to understand the step-by-step solution.

First, let’s convert 48 inches to feet.

Understand the Relationship: Remember that 1 foot is equal to 12 inches. This means for every 12 inches, we have 1 foot. Set Up the Operation: Since you have 48 inches, and you need to find out how many feet that is, you'll divide since you are converting a smaller unit to a larger unit. Calculate: Perform the division: 48 ÷ 12 = 4. Conclusion: So, 48 inches are equal to 4 feet.

Now let’s convert 5 yards to feet.

Understand the Relationship: Remember that 1 yard equals 3 feet. Set Up the Operation: You have 5 yards, and you want to know how many feet that is. Since each yard is 3 feet, you will multiply, since you are converting a larger unit to a smaller unit. Calculate: Perform the multiplication: 5 x 3 = 15. Conclusion: Therefore, 5 yards equals 15 feet.

Following these steps and thought processes as you convert customary units of length will help you. Make a note of the steps if you need to!

## Convert Customary Units of Length – Guided Practice

Let’s walk through two problems together this time.

How many yards are in 9 feet?

What operation do you need to solve this problem?
How many yards are there in 9 feet?

How many yards and there in 2 miles?

What operation do you need to solve this problem?
How many yards are there in 2 miles?

## Covert Customary Units of Length – Application

Now you are ready to solve conversions of customary units of length on your own! Try these four questions independently.

Convert 3 yards to feet.
Convert 5280 feet to miles.
Convert 10 miles to yards.
Convert 36 inches to feet.

## Convert Customary Units of Length – Summary

Key Learnings from this Text:

• Converting between inches, feet, yards, and miles is straightforward with basic multiplication or division.
• Remember key conversions: 12 inches in a foot, 3 feet in a yard, 1760 yards in a mile.
• The steps to convert are easy: first, understand the relationship, then set up the calculation, and finally complete the calculation.

Explore more on our platform with interactive practice problems, engaging videos, and printable worksheets to enhance your learning experience. If you need extra support on this topic, check out Converting Inches and Feet.

## Convert Customary Units of Length Frequently Asked Questions

How many feet are in a mile?
Is a yard bigger than a foot?
How do you convert yards to inches?
Are these conversions used internationally?
How many inches are in two feet?
Can you convert miles directly to inches?
Why is it important to learn these conversions?
Is there an easy way to remember these conversions?
Are these units used in science?

## Convert Customary Units of Length exercise

Would you like to apply the knowledge you’ve learned? You can review and practice it with the tasks for the learning text Convert Customary Units of Length.
• ### Complete the statement below.

Hints

This ruler is 1 foot long, how many inches long is it?

There are 36 inches in 1 yard. How many feet are there?

Converting between inches, feet, yards, and miles is straightforward with basic multiplication or division. We can divide to convert to a larger unit and multiply to convert to a smaller unit.

Solution

There are 12 inches in 1 foot, 3 feet in a yard, 1,760 yards in a mile.

• ### How many inches are in 3 feet?

Hints

There are 12 inches in 1 foot.

If we were finding out how many inches there are in 2 feet, we would multiply 12 by 2 to get 24. To find out how many inches in 3 feet, multiply 12 by 3.

Solution

There are 12 inches in 1 foot, so we multiply 12 x 3 = 36. There are 36 inches in 3 feet.

• ### Choose the most efficient way to measure each length.

Hints

Think of the unit that would help us measure the most quickly.

We measure a road using miles, because feet, yards, and inches would take a lot of measuring sticks and time.

I measured the black fabric in yards when I made this shirt.

Solution
• We measure the highlighter using inches because it is the smallest item and inches are the smallest unit of measurement.
• We measure the couch using feet because feet are smaller than yards, so it gives us a more accurate measurement.
• We measure the fabric using yards because miles is too large. Fabric is typically measured in yards.
• If we measure the road using inches, feet, or yards that would take a long time, so the best unit of measurement is for the road is miles.
• ### Convert 60 yards to feet.

Hints

There are 3 feet in 1 yard.

What do we get when we multiply the number of yards by how many feet are in a yard?

Solution

Since there are 3 feet in 1 yard, we multiply 60 x 3 = 180. There are 180 feet in 60 yards.

• ### Choose the correct answer.

Hints

There are 3 feet in 1 yard.

12 inches is equal to 1 foot.

Solution
• There are 12 inches in 1 foot, so an inch is smaller than 1 foot.
• There are 3 feet in 1 yard, so a yard is bigger than 1 foot.
• There are 1,760 yards in 1 mile, so 1 yard is smaller than 1 mile.
• These measurements listed from smallest to largest are: inch, foot, yard, and mile. Mile is the biggest unit.
• ### Convert each measurement.

Hints

Numbers 3 and 4 are two-step problems.

• There are 3 feet in 1 yard.
• Divide the number of feet by 3 to calculate the yards.
• Then convert the yards to miles.
Solution
• There are 12 inches in 1 foot, so 8 x 12 feet = 96 inches.
• There are 1,760 yards in 1 mile, so 17,600 $\div$ 1,760 = 10 miles
• There are 3 feet in 1 yard and 12 inches in 1 foot, so 12 x 3 = 36 inches.
• First, we need to calculate the number of yards. There are 1,760 yards in a mile and 3 feet in 1 yard, so 5,280 $\div$ 3 = 1,760. 1,760 $\div$ 1,760 = 1
Rating

Ø 3.0 / 1 ratings
The authors
sofatutor Team