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Volume

Grade 7 · Math · Free lesson

Hey there! Ready to explore how much space things take up? Let's dive into the awesome 3D world of volume!

Have you ever wondered how much water fits inside your water bottle, or how many toys can squeeze into a storage bin? That is what volume is all about! Volume is the amount of 3-dimensional space that an object fills up.

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To understand volume, think about building with blocks. We start with a single unit cube. If we stack these cubes to build a shape, we can count them to find the total volume!

Building Volume with Unit Cubes!

For rectangular boxes (like cereal boxes), we don't have to count every single block. We can just multiply three simple measurements: length, width, and height! The formula is Volume = length × width × height.

LengthWidthHeightVolume = Length × Width × Height

Because volume measures 3D space, we write our units with a little '3' at the top, like cubic centimeters (cm³) or cubic inches (in³). This tells everyone we are measuring in three dimensions at once!

✏️ Worked example

Find the volume of a shoebox that is 10 cm long, 5 cm wide, and 4 cm tall.

  1. Identify the formula for the volume of a rectangular prism: Volume = length × width × height.
  2. Identify your measurements: length = 10 cm, width = 5 cm, height = 4 cm.
  3. Multiply the length by the width first: 10 × 5 = 50.
  4. Multiply that result by the height: 50 × 4 = 200.
  5. Write your final answer with cubic units: 200 cm³.
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