Counting Unit Cubes · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

Counting Unit Cubes

Mathematics · Measurement · ages 10-11
Name ______________________   Date ____________

  1. What is 1 cm³ the volume of?

    • A cube that is 1 cm on every side
    • A square that is 1 cm on every side
    • A line that is 1 cm long

  2. A small container is filled with 30 centimetre cubes. What is its volume in cm³?

    Answer: ______________

  3. A solid is packed with 24 centimetre cubes and no gaps. What is its volume?

    • 24 cm³
    • 24 cm
    • 24 square cm
    • 48 cm³

  4. This shape is built from centimetre cubes stacked in two layers. How many cubes make up its volume?

    • 5
    • 6
    • 7

  5. A box holds 3 layers with 8 centimetre cubes in each layer. What is its volume in cm³?

    Answer: ______________

  6. A shape is built from cubes that are each 1 inch on a side. Which unit should you use for its volume?

    • in²
    • in³
    • cm³

  7. A box holds 15 centimetre cubes. Which notation for its volume is correct?

    • 15 cm³
    • 15 cm
    • 15 square cm
    • 15 g

  8. Mia fills a small box completely with centimetre cubes and counts 15 cubes with no gaps. What is the volume of the box?

    • 15 cm
    • 15 cm³
    • 15 cm²

  9. Deng counts a stack of centimetre cubes and writes the volume as 10 cm. What mistake did he make?

    • He counted too many cubes
    • He should have used cm² instead
    • He used the wrong unit; it should be cm³

  10. A tower of centimetre cubes has 4 layers, and each layer has 4 cubes, but the back cubes in each layer are hidden from view. What is the total volume?

    Answer: ______________

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Answer key

For grown-ups. Fold this page away before handing over the rest.

Counting Unit Cubes W1-mt_d7XktBQPxm-s1

  1. A cube that is 1 cm on every side · A cubic centimetre is the space inside a cube with 1 cm sides.
  2. 30 · 30 centimetre cubes fill the container, so its volume is 30 cm³.
  3. 24 cm³ · 24 centimetre cubes fill it, so the volume is 24 cm³.
  4. 6 · Count each layer: 3 + 3 = 6 cubes in total.
  5. 24 · 3 layers of 8 is 3 x 8 = 24 cubes, so 24 cm³.
  6. in³ · The cubes are measured in inches, so the volume unit is cubic inches, in³.
  7. 15 cm³ · Volume fills space, so it needs cubic units: 15 cm³.
  8. 15 cm³ · Since she used centimetre cubes to fill it, the volume is 15 cubic centimetres, 15 cm³.
  9. He used the wrong unit; it should be cm³ · Volume needs a cubic unit like cm³, not a plain length unit like cm.
  10. 16 · 4 layers of 4 cubes each: 4 + 4 + 4 + 4 = 16 cm³, hidden cubes included.
Worksheet · LightMySky