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Gr 5–7 · 45 min

Volume of a box

Coming soon. We're checking this lesson against the app, step by step, so it works when you run it with a class. You can read the plan now. The lesson pack, teaching mode and assigning open once it's checked.

Fill a box you built with centimetre cubes, then find the shortcut: length × width × height.

Ontario Gr 5–7 · Spatial Sense E2 · Common Core 5.MD.C.3, 5.MD.C.4, 5.MD.C.5

Learning goals

  • Understand volume as the number of unit cubes that fill a solid
  • Use V = l × w × h

Plan

  1. 1

    Build at real size10 minStudents

    Print the box (5 cm wide, 3 cm tall, 2 cm deep) at real size (check it with the ruler in the footer) and build it.

  2. 2

    Fill15 minStudents

    Fill the box with cubes one layer at a time. How many in one layer? How many layers?

  3. 3

    Shortcut10 minYou lead

    Write the multiplication for one layer (5 × 2), then for all 3 layers: 5 × 2 × 3 = 30 cubic centimetres.

  4. 4

    Predict and check10 minYou lead

    On the board, change a size in FoldNets. Students predict the volume, then check it against the volume FoldNets shows.

To talk about

  • Two boxes have the same volume. Must they be the same shape?
  • What happens to the volume when you double the height?