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Grade 5 Math — Volume with unit cubes

Find the volume of a box by counting the unit cubes that fill it.

Name: ________________________

  1. 1.A box is 5 cubes long, 2 cubes wide and 3 cubes tall. How many unit cubes fill it?

  2. 2.A box holds 20 unit cubes in a single layer. Filled 4 layers deep, how many unit cubes does it hold?

  3. 3.Work out each box, then sort it by how many unit cubes it holds.

    Groups: Fewer than 24 cubes · 24 cubes or more

    • 2 by 2 by 5
    • 4 by 4 by 2
    • 5 by 5 by 1
    • 1 by 3 by 6
    • 2 by 2 by 4
    • 3 by 4 by 2

  4. 4.A cuboid is built from 36 unit cubes in 3 equal layers. How many cubes are in each layer?

  5. 5.A cuboid is 6 inches long, 3 inches wide and 2 inches tall. What is its volume, in cubic inches? Give just the number.

  6. 6.Put these boxes in order, starting with the one that holds the fewest unit cubes.

    • 3 by 3 by 3
    • 2 by 3 by 3
    • 3 by 4 by 3
    • 2 by 2 by 3

  7. 7.Which of these boxes holds the most unit cubes?

    • a) 2 by 3 by 4
    • b) 2 by 2 by 6
    • c) 3 by 3 by 3
    • d) 1 by 5 by 5

  8. 8.A tower is built from 3 layers, and each layer holds 4 cubes. How many cubes is that altogether?

Answer key — Grade 5 Math — Volume with unit cubes

  1. 1. 30
  2. 2. 80
  3. 3. 2 by 2 by 5 → Fewer than 24 cubes; 3 by 4 by 2 → 24 cubes or more; 1 by 3 by 6 → Fewer than 24 cubes; 4 by 4 by 2 → 24 cubes or more; 2 by 2 by 4 → Fewer than 24 cubes; 5 by 5 by 1 → 24 cubes or more
  4. 4. 12
  5. 5. 36
  6. 6. 1. 2 by 2 by 3 2. 2 by 3 by 3 3. 3 by 3 by 3 4. 3 by 4 by 3
  7. 7. c) 3 by 3 by 3
  8. 8. 12