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Maths • Measurement & Data

Measurement and Volume Builder

Solve real-world volume and measurement conversion problems using cube models, tape diagrams, and double number lines.

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Activities

Learning Goals

  • ✓Calculate volume using length × width × height.
  • ✓Convert feet to inches.
  • ✓Convert milliliters to liters.
  • ✓Use models to explain measurement conversions.

Mini Lesson

  1. 1Volume measures the space inside a 3D object.
  2. 2For rectangular prisms, volume equals length × width × height.
  3. 3Customary conversions use known relationships such as 1 foot = 12 inches.
  4. 4Metric conversions use powers of 10, such as 1 liter = 1,000 milliliters.
volumeunit cubecubic unitcustomary unitmetric unitconversionlitermilliliter

Interactive Activities

Tap an answer choice. The card will show feedback, the correct answer, visual model, and step-by-step explanation.

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Activity 1Geometric Volumevolume-builder

Shoe Box Volume

Question

A cardboard shoe box is 5 cm long, 3 cm wide, and 4 cm tall. What is the total volume of space inside the box?

Instruction

Find the base layer first, then multiply by the height.

💡 Teacher Hint

Base area is 5 × 3. Then multiply by 4 layers.

Volume Builder

Length

5 cm

Width

3 cm

Height

4 cm

Volume

60 cm³

👁️ Show Visual Model: Layered Cube Model
Model Type: cube-model
Base Layer:
Length × Width = 5 × 3 = 15 unit cubes

Height:
4 identical layers

Total:
15 × 4 = 60 cm³
✅ Show Step-by-Step Answer
  1. 1Find the base area: 5 × 3 = 15.
  2. 2The box has 4 layers of this base.
  3. 3Multiply 15 × 4 = 60.
  4. 4The volume is 60 cubic centimeters.
CCSS 5.MD.C.5
🧘
Activity 2Customary Measurement Conversionquiz

Yoga Mat Conversion

Question

An extra-long yoga mat measures exactly 4 feet long. How many inches long is the yoga mat?

Instruction

Use the conversion 1 foot = 12 inches.

💡 Teacher Hint

Multiply 4 × 12.

👁️ Show Visual Model: Tape Diagram
Model Type: tape-diagram
┌───────────┬───────────┬───────────┬───────────┐
│  1 Foot   │  1 Foot   │  1 Foot   │  1 Foot   │
├───────────┼───────────┼───────────┼───────────┤
│ 12 inches │ 12 inches │ 12 inches │ 12 inches │
└───────────┴───────────┴───────────┴───────────┘

4 × 12 = 48 inches
✅ Show Step-by-Step Answer
  1. 11 foot equals 12 inches.
  2. 2The mat is 4 feet long.
  3. 3Multiply 4 × 12.
  4. 44 × 12 = 48.
  5. 5The yoga mat is 48 inches long.
CCSS 5.MD.A.1
🍋
Activity 3Metric Measurement Conversionquiz

Lemonade Metric Conversion

Question

A pitcher contains 2,500 milliliters of lemonade. How many liters of lemonade are in the pitcher?

Instruction

Use the conversion 1 liter = 1,000 milliliters.

💡 Teacher Hint

Divide 2,500 by 1,000.

👁️ Show Visual Model: Double Number Line
Model Type: double-number-line
Liters:       0L          1L          2L    2.5L    3L
              ├───────────┼───────────┼──────┼──────┤
Milliliters:  0mL      1,000mL     2,000mL 2,500mL 3,000mL

2,500 ÷ 1,000 = 2.5 liters
✅ Show Step-by-Step Answer
  1. 1Know the conversion: 1 liter = 1,000 milliliters.
  2. 2The pitcher has 2,500 milliliters.
  3. 3Divide 2,500 by 1,000.
  4. 42,500 ÷ 1,000 = 2.5.
  5. 5The pitcher contains 2.5 liters.
CCSS 5.MD.A.1

Exit Ticket

Why is volume labeled with cubic units instead of square units?

Show Suggested Answer

Volume measures three-dimensional space, so it counts unit cubes and uses cubic units.

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