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6th grade Volume with fraction edge lengths worksheet

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Volume with fraction edge lengths

Grade 6 Math Worksheet - Challenge Me

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Circle the best answer, or write your answer on the line.

  1. Esme's tea cupboard is 3/2 ft long, 3/4 ft wide and 5/2 ft tall. The cups are very polite. What is its volume in cubic ft?

  2. Jun's shipping crate is 7/4 ft long, 3/2 ft wide and 3/4 ft tall. The truck is waiting outside. What is its volume in cubic ft?

  3. Kira's paint box is 5/2 ft long, 3/4 ft wide and 1/2 ft tall. All the colors are inside. What is its volume in cubic ft?

  4. Milo's snack cabinet is 5/4 ft long, 3/4 ft wide and 2 ft tall. Cookie guard on duty. How many cubes with edges of 1/4 ft fill it exactly?

  5. Ren's tall box holds 3 cubic ft. Its floor is 3/2 ft by 1/2 ft. It must be hiding something. How tall is it, in ft?

  6. Tala's can cupboard holds 15/2 cubic ft. Its floor is 5/2 ft by 3/4 ft. The cans stand at attention. How tall is it, in ft?

  7. Zee's jellyfish tank holds 63/16 cubic ft. Its floor is 3/2 ft by 3/4 ft. The jellyfish drift lazily. How tall is it, in ft?

  8. Ari's bookcase holds 35/8 cubic ft. Its floor is 5/2 ft by 1/2 ft. Every shelf is full of stories. How tall is it, in ft?

  9. Bo's treasure chest is 7/4 ft long, 5/4 ft wide and 1 ft tall. Cubes with edges of 1/4 ft fill it exactly. Shiny gold cubes inside! What is its volume in cubic ft?

  10. Jun's crown box is 7/4 ft long, 3/4 ft wide and 1 ft tall. Cubes with edges of 1/4 ft fill it exactly. Fit for royalty. What is its volume in cubic ft?

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6th grade Volume with fraction edge lengths worksheet – printable
Print: 123456

About this worksheet

Volume with fraction edges. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find how many small cubes (with edges like 1/2 or 1/4) fill a box, and how much volume that is.
  • I can multiply the three fraction edges and get the same volume the cubes gave.
  • I can find a missing edge when I know the volume and the floor.

Standard: 6.G.A.2

Words to know

volume: How much space is inside a solid, counted in cubes.

cubic foot: The volume of a cube that is 1 foot on every edge.

layer: One flat level of cubes, as tall as one cube.

edge: A side of the box: its length, width or height.

fraction edge: An edge that is not a whole number, like 3/2 feet.

floor: The bottom of the box. Its area times the height gives the volume.

Common mistakes

Your child gave the number of small cubes as the volume.

Your child added the three edges instead of multiplying them. Build a small block shape together: volume is how many blocks fill it, which comes from length × width × height, not from adding lengths.

Your child multiplied only the top numbers of the fractions.

What to say

Ask: how many of these small cubes would fill a cube that is 1 unit on each side? The volume is that many parts of a cubic unit.

Ask: how long is each edge as a fraction? Then multiply the tops and multiply the bottoms.

Questions parents ask

What is the most common mistake with volume with fraction edge lengths?

Your child gave the number of small cubes as the volume.

How can I help my child with volume with fraction edge lengths?

Ask: how many of these small cubes would fill a cube that is 1 unit on each side? The volume is that many parts of a cubic unit.

Are these 6th grade math worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

More grade 6 math

See all grade 6 math

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