Math Grade 4-5

Volume: Counting Cubic Units

Find volume by counting and multiplying cubic units

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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.

LivePhysics™.com Math - Grade 4-5

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