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Measurement and Volume — 5th Grade Lesson

Students will convert between measurement units and calculate the volume of rectangular prisms.

5th Grade · Measurement · ~25 min lesson

Converting units

Converting changes a measurement to a different unit without changing the amount. The trick is knowing the relationship between units.

ConversionEquals
1 foot12 inches
1 yard3 feet
1 hour60 minutes
1 quart4 cups
1 meter100 centimeters
1 kilogram1,000 grams

Multiply or divide?

  • Going to a smaller unit → multiply (more of them).
  • Going to a larger unit → divide (fewer of them).

2 feet → inches: 2 × 12 = 24 inches 24 inches → feet: 24 ÷ 12 = 2 feet

What is volume?

Volume is how much space a solid takes up. It’s measured in cubic units (cm³, m³).

Volume of a rectangular prism

Volume = length × width × height

A box that is 3 cm by 2 cm by 4 cm:

V = 3 × 2 × 4 = 24 cubic cm

Volume of a cube

A cube has equal sides, so:

V = side × side × side = s³

A cube with sides of 5 cm: 5 × 5 × 5 = 125 cm³.

How to practice at home

  • Convert in the kitchen: cups to quarts while cooking.
  • Measure boxes: find the volume of real boxes (shoes, shipping).
  • Unit races: “who is taller — 5 feet or 60 inches?”
  • Estimate volumes before measuring.

Practice with the exercises above, then download these free printable worksheets:

Practice Exercises

Try these on your own, then reveal the answer to check.

  1. How many inches in 2 feet?

    💡 1 foot = 12 inches, so 2 × 12.

  2. How many cups in 1 quart?

    💡 1 quart = 4 cups.

  3. How many centimeters in 1 meter?

    💡 The metric system counts by tens.

  4. A box is 3 cm by 2 cm by 4 cm. What is its volume?

    💡 Volume = length × width × height = 3 × 2 × 4.

  5. How many minutes in 2 hours?

    💡 1 hour = 60 minutes, so 2 × 60.

  6. A cube has sides of 5 cm. What is its volume?

    💡 5 × 5 × 5.

Printable Worksheets

Put this lesson into practice with free, printable worksheets — each with an answer key.

Before You Start

  • Multiplication
  • 4th grade measurement basics

Common Mistakes to Watch For

  • Converting the wrong direction (multiplying when you should divide)
  • Forgetting to use all three dimensions for volume (length × width × height)

What to Learn Next

Browse more Measurement worksheets or explore all 5th Grade worksheets.

Related Worksheets

Preview of the 5th Grade Measurement Conversion for 5th Grade
🔢Math Standard

5th Grade Measurement Conversion

Convert metric and customary units in both directions — multiply to go to smaller units, divide to go to larger units.

5th Grade 20 min ✓ Answer key
Preview of the 5th Grade Volume Word Problems for 5th Grade
🔢Math Standard

5th Grade Volume Word Problems

Solve real-life problems by finding the volume of rectangular prisms: length x width x height.

5th Grade 20 min ✓ Answer key
Preview of the 4th Grade Measurement Conversion for 4th Grade
🔢Math Standard

4th Grade Measurement Conversion

Convert larger units to smaller units — feet to inches, kilograms to grams, hours to minutes — by multiplying.

4th Grade 18 min ✓ Answer key
Preview of the Estimating Length Worksheet for 2nd Grade
🔢Math Easy

Estimating Length Worksheet

Estimate everyday lengths and pick the unit that makes sense — inches for small things, feet for big ones.

2nd Grade 12 min ✓ Answer key

Frequently Asked Questions

What measurement does a 5th grader learn?

Converting between units within the same system (feet to inches, cups to quarts, meters to centimeters) and calculating the volume of rectangular prisms and cubes.

How do I know whether to multiply or divide when converting?

Ask: 'Am I going to a smaller or larger unit?' Going to a smaller unit means more of them, so multiply. Going to a larger unit means fewer of them, so divide. 2 feet → 24 inches (multiply); 24 inches → 2 feet (divide).

Original & reviewed. Every worksheet is created in-house from a grade-level skill brief, checked for a correct answer key, and reviewed for grade-appropriateness. Our editorial policy.