Touchstone Standards

Grade 5 Georgia math worksheets

5th Grade Volume Worksheets: Unit Cubes & Prisms

Count unit cubes, connect layers to base area and height, and investigate prisms with a fixed number of cubes. Five stories and complete worked keys.

What students practice

Build volume reasoning from cubes students can count. Move from packed prisms to cubes in a layer, then connect base area and height to the total volume. Also aligned with Common Core: 5.MD.C.3, 5.MD.C.4, 5.MD.C.5a and 5.MD.C.5b (right rectangular prisms).

Inspect actual pages and matching keys

These complete pages come from this packet. Check the task, work space, and key before choosing.

Download the free 6-page PDF preview (cover, teacher page, and two complete practice/key pairs).

Count Packed Unit Cubes

Student page: Count Packed Unit Cubes, packet page 3
Student page. Count Packed Unit Cubes, packet page 3. Select the image for a closer view.
Matching answer key: Count Packed Unit Cubes, packet page 15
Matching answer key. Count Packed Unit Cubes, packet page 15. Select the image for a closer view.

Rearrange the Cubes

Student page: Rearrange the Cubes, packet page 10
Student page. Rearrange the Cubes, packet page 10. Select the image for a closer view.
Matching answer key: Rearrange the Cubes, packet page 22
Matching answer key. Rearrange the Cubes, packet page 22. Select the image for a closer view.

What's inside

  1. p. 3

    Count Packed Unit Cubes

  2. p. 4

    Cubes in Every Layer

  3. p. 5

    Count Two Ways

  4. p. 6

    Base Area, Then Volume

  5. p. 7

    Use Base Area and Height

  6. p. 8

    Volume in Context

  7. p. 9

    Explain and Correct

  8. p. 10

    Rearrange the Cubes

  9. p. 11

    Compare Packed Prisms

  10. p. 12

    Build the Volume Reasoning

  11. p. 13

    Volume Code

  12. p. 14

    Mixed Review

Georgia standards covered

5.GSR.8.3

Investigate volume of right rectangular prisms by packing them with unit cubes without gaps or overlaps. Then, determine the total volume to solve problems.

In this packet: pages 3 to 6, 9 to 11, and 14. 5.GSR.8.3 practice in all our packets

5.GSR.8.4

Discover and explain how the volume of a right rectangular prism can be found by multiplying the area of the base times the height to solve authentic, mathematical problems.

In this packet: pages 5 to 14. 5.GSR.8.4 practice in all our packets

Who it's for

The 39 multi-part items include five stories, visible cube models, base-area tasks, comparisons and two fixed-cube investigations. Students find every different prism for 12 or 18 cubes, explain why the list is complete and correct mistaken volume reasoning. Full keys connect the pictures, square-unit bases and cubic-unit totals. The solids are right rectangular prisms with whole-number edge lengths. Count all cubes, including hidden ones. The printed cube models are quantity diagrams, not physical measuring scales. This packet covers individual prisms rather than composite solids, surface area or fractional edges.

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