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Math Grade 4-5

Volume: Counting Cubic Units

Find volume by counting and multiplying cubic units

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Practice finding the volume of rectangular prisms by counting unit cubes, using layers, and multiplying length, width, and height.

Read each problem carefully. Count cubic units or use multiplication to find the volume. Show your work in the space provided.

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Find volume by counting and multiplying cubic units

Math - Grade 4-5

Instructions: Read each problem carefully. Count cubic units or use multiplication to find the volume. Show your work in the space provided.
  1. 1
    A rectangular prism made of unit cubes with three rows by four cubes and two layers.

    A box is filled with unit cubes. The bottom layer has 3 rows with 4 cubes in each row. There are 2 layers. What is the volume of the box in cubic units?

  2. 2
    A unit-cube rectangular prism five cubes long, two cubes wide, and three cubes tall.

    A rectangular prism is 5 unit cubes long, 2 unit cubes wide, and 3 unit cubes tall. What is its volume?

  3. 3
    A four-layer rectangular prism with six unit cubes in each layer.

    Count the cubes in a prism that has 6 cubes in one layer and 4 equal layers. What is the volume?

  4. 4
    A cube stack made of unit cubes, two cubes long, two cubes wide, and two cubes tall.

    A stack of unit cubes is shown as 2 cubes long, 2 cubes wide, and 2 cubes tall. How many unit cubes are in the stack?

  5. 5
    A rectangular unit-cube base four cubes long by three cubes wide with guide outlines showing possible layers above.

    A storage crate has a volume of 36 cubic units. It is 4 units long and 3 units wide. How many unit layers tall is it?

  6. 6
    A rectangular prism with four cubes in each row, two rows per layer, and five layers.

    Maya builds a rectangular prism with 4 cubes in each row, 2 rows in each layer, and 5 layers. What is the volume of Maya's prism?

  7. 7
    A single-layer rectangular prism with three cubes across and five cubes back.

    A prism has a bottom layer with 3 cubes across and 5 cubes back. It is 1 layer tall. What is the volume?

  8. 8
    Two unit-cube prisms side by side: one three by three by two, and one four by two by two.

    Which prism has the greater volume: Prism A is 3 units by 3 units by 2 units, and Prism B is 4 units by 2 units by 2 units?

  9. 9
    A rectangular prism with a three-by-three base and equal stacked layers of unit cubes.

    A rectangular prism is made of 27 unit cubes. It has 3 cubes across, 3 cubes back, and the same number of cubes in each layer. How many layers does it have?

  10. 10
    A unit-cube rectangular prism two cubes long, six cubes wide, and two cubes tall.

    Liam says a prism that is 2 units long, 6 units wide, and 2 units tall has a volume of 10 cubic units. Is he correct? Explain.

  11. 11
    A four-layer rectangular prism with eight unit cubes in each layer.

    A box has 4 layers of cubes. Each layer has 8 cubes. What is the volume of the box?

  12. 12
    A narrow rectangular prism seven cubes long, one cube wide, and three cubes tall.

    Find the volume of a rectangular prism with a length of 7 units, a width of 1 unit, and a height of 3 units.

  13. 13
    A rectangular prism with layers made of five cubes per row and three rows per layer.

    A prism has 5 cubes in each row and 3 rows in each layer. Its volume is 45 cubic units. How many layers tall is it?

  14. 14
    A rectangular prism with a front face four cubes across and three cubes tall, extending two cubes deep.

    A rectangular prism is built with unit cubes. The front face shows 4 cubes across and 3 cubes tall. The prism is 2 cubes deep. What is the volume?

  15. 15
    Several different rectangular prisms made from unit cubes, showing possible prism designs.

    Create your own rectangular prism with a volume of 24 cubic units. Write its length, width, and height.

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