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Filling a Box with Cubes

Volume is how many same-size cubes fit inside a box. Count the cubes in one flat layer, then count how many layers stack up to the top.

In the picture

  1. The single loose cube on the table: the unit cube we count with.
  2. The layer of four cubes covering the box floor: one complete layer.
  3. The clear front wall of the box: its height tells how many layers fit.

Examples

  • A shoebox packed full of sugar cubes.
  • Toy blocks filling a plastic storage bin.

Quiz: Filling a Box with Cubes (Age 10)

  1. What does the volume of a box tell you?

    • How many same-size cubes fit inside it
    • How long the edge around its floor is
    • How much space it takes up on the table
  2. Six cubes cover the floor of a box in one layer, and three layers stack up to the top. How many cubes fill the box?

    • 9 cubes
    • 18 cubes
    • 6 cubes
  3. Why do you need to know how tall a box is when you find its volume?

    • It tells you how many cubes fit in one layer on the floor
    • It tells you how many layers of cubes stack up to the top
    • It tells you how wide the bottom of the box is

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Maths, Age 10