Understanding Volume: Measuring Space

• Math
• 7th Grade

Understanding Volume: Measuring Space

Learning Objective

At the end of the lesson, you will understand how to calculate the volume of different shapes and identify real-world applications of volume.

What do you already know about measuring volume?

What is Volume?

Volume measures the amount of space inside a 3D object. It's expressed in cubic units like cm³ or m³.

Visualizing Volume

Imagine filling a cube with water. The amount the cube can hold is its volume.

Formula for Volume of a Cube

Volume = side³. For a cube with 2 cm sides, Volume = 2 cm × 2 cm × 2 cm = 8 cm³.

Volume of a Rectangular Prism

Volume = length × width × height. A box 3 cm × 2 cm × 4 cm has a volume of 24 cm³.

Real-World Example: Swimming Pool

Calculate a pool's volume to know water needed. If 10m long, 5m wide, 2m deep, Volume = 100 m³.

Interactive Activity

Create different shapes using blocks. Measure and calculate the volume of each shape.

Create your own Volume question.