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6th grade Volume with fraction edge lengths worksheet

6 printable versionsBuilding Confidence10 questions · answer keyFree · no account

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Volume with fraction edge lengths

Grade 6 Math Worksheet - Building Confidence

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  1. Ari's storage box is filled exactly with cubes that have edges of 1/2 ft: 3 along the length, 2 across and 2 up. Every cube fits snugly. What is its volume in cubic ft?

  2. Bo's toy crate is filled exactly with cubes that have edges of 1/2 ft: 4 along the length, 3 across and 3 up. No gaps allowed. What is its volume in cubic ft?

  3. Esme's turtle tank is filled exactly with cubes that have edges of 1/3 ft: 6 along the length, 3 across and 3 up. The turtle is not impressed. What is its volume in cubic ft?

  4. Jun's planter box is 3/2 ft long, 5/2 ft wide and 1 ft tall. Cubes with edges of 1/2 ft fill it, one layer holding 15 cubes. What is its volume in cubic ft?

  5. Kira's gift box is 5/2 ft long, 3/2 ft wide and 2 ft tall. Cubes with edges of 1/2 ft fill it, one layer holding 15 cubes. What is its volume in cubic ft?

  6. Luz's toy basket is 7/3 ft long, 4/3 ft wide and 1 ft tall. Cubes with edges of 1/3 ft fill it, one layer holding 28 cubes. What is its volume in cubic ft?

  7. Noah's dress closet has a floor covered by one layer of cubes with edges of 1/2 ft: 4 along the length, 3 across. It is 3 ft tall. What is its volume in cubic ft?

  8. Ren's shoe cabinet has a floor covered by one layer of cubes with edges of 1/4 ft: 6 along the length, 2 across. It is 2 ft tall. What is its volume in cubic ft?

  9. The floor of Tala's bookcase is 3/2 ft by 1/2 ft, so it covers 3/4 square ft. It is 5/2 ft tall. It is waiting for books. What is its volume in cubic ft?

  10. The floor of Zee's jam shelf is 3/4 ft by 1/2 ft, so it covers 3/8 square ft. It is 3/2 ft tall. Strawberry jam rules. What is its volume in cubic ft?

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6th grade Volume with fraction edge lengths worksheet – printable
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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.

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