Grade 6 · Math

6th grade Volume with fraction edge lengths worksheet

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Volume with fraction edge lengths

Grade 6 Math Worksheet

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Bo's lemon crate is 3/2 ft long, 3/4 ft wide and 2 ft tall. The lemons are feeling sour. What is its volume in cubic ft?
Jun's bookshelf is 7/2 ft long, 1/2 ft wide and 3 ft tall. Every book wants the top spot. What is its volume in cubic ft?
Kira's spice rack is 3/4 ft long, 1/4 ft wide and 3 ft tall. The jars are lining up. What is its volume in cubic ft?
Luz's dish cupboard is 5/4 ft long, 1/2 ft wide and 4 ft tall. The dishes stack up fast. What is its volume in cubic ft?
Milo's block crate is 3/2 ft long, 3/2 ft wide and 5/2 ft tall. Cubes with edges of 1/2 ft fill it exactly. The cubes cheer. What is its volume in cubic ft?
Noah's cooler is 7/2 ft long, 3/2 ft wide and 2 ft tall. Cubes with edges of 1/2 ft fill it exactly. Brrr, that is cold. What is its volume in cubic ft?
Pia's planter is 3/2 m long, 5/4 m wide and 3/4 m tall. Cubes with edges of 1/4 m fill it exactly. The sprouts are ready to grow. What is its volume in cubic m?
Zee's backpack cubby is 5/2 ft long, 3/2 ft wide and 3 ft tall. Backpacks everywhere! How many cubes with edges of 1/2 ft fill it exactly?
Ari's frog tank is 4/3 ft long, 5/3 ft wide and 2 ft tall. The frog says ribbit. How many cubes with edges of 1/3 ft fill it exactly?
Bo's hat cabinet is 5/3 ft long, 4/3 ft wide and 3 ft tall. The hats are feeling fancy. How many cubes with edges of 1/3 ft fill it exactly?

6th grade Volume with fraction edge lengths worksheet – printable — Print: 1 2 3 4 5 6

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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