Grade 5 Geometry & Volume CCSS.Math.5.G

Volume of rectangular prisms by counting cubes: Fluency Drill

A free printable geometry & volume page for Grade 5 students, built around Volume of rectangular prisms by counting cubes.

Volume of rectangular prisms by counting cubes: Fluency Drill

Grade 5 · Geometry & Volume · CCSS.Math.5.G

  1. How many unit cubes fit in a 3 × 2 × 5 box? ___
  2. How many unit cubes fit in a 3 × 2 × 5 box? ___
  3. How many unit cubes fit in a 4 × 3 × 2 box? ___
  4. How many unit cubes fit in a 4 × 3 × 3 box? ___
  5. How many unit cubes fit in a 5 × 4 × 4 box? ___
  6. How many unit cubes fit in a 2 × 2 × 3 box? ___

This is the preview. Hit "Print this worksheet" above to open a clean, ad-free, one-page version with name and date lines and writing space for each problem. A separate answer key prints on the second page for the grown-up. Tear it off before handing the practice page to your child.

This printable worksheet gives Grade 5 students focused practice on Volume of rectangular prisms by counting cubes, an essential building block within Geometry & Volume and one of the milestone skills inside the Common Core CCSS.Math.5.G cluster.

Each printable is a single black-and-white page that prints cleanly on standard letter or A4 paper, so teachers and parents can run off a class set or a single copy without wasting toner. Students who get stuck should slow down on the first problem, talk through what the question is actually asking, and only then pick up the pencil. Reading errors disguise themselves as math errors all the time at this age.

This page works well as morning math, as a center rotation, as a short homework assignment, or as a quick formative check before a quiz. The same one-page format also makes it easy to keep a small folder of completed work as evidence for parent–teacher conferences.

Want a different angle on this skill? Try the matching variants in our Grade 5 · Geometry & Volume collection, or jump up to the cross-grade Geometry & Volume hub.

Parents tell us the most useful thing about this Volume of rectangular prisms by counting cubes page is how fast they can hand it to a kid. No login. No PDF locked behind an email gate. Click print, hand it over, get ten quiet minutes of real math practice without prepping anything.

This worksheet is aligned to Common Core State Standard CCSS.Math.5.G and supports the broader Geometry & Volume progression that students continue to build through later grades. The same skill is revisited each year with greater abstraction, so the work your student does on this single sheet feeds into the multi-digit and multi-step problems they will see in middle school.

Pair this Volume of rectangular prisms by counting cubes worksheet with the rest of the Grade 5 Geometry & Volume collection for a focused practice block that covers the standard from several angles in a single afternoon.

Sample problems on this worksheet

  1. How many unit cubes fit in a 3 × 2 × 5 box? ___
  2. How many unit cubes fit in a 3 × 2 × 5 box? ___
  3. How many unit cubes fit in a 4 × 3 × 2 box? ___
  4. How many unit cubes fit in a 4 × 3 × 3 box? ___
  5. How many unit cubes fit in a 5 × 4 × 4 box? ___
  6. How many unit cubes fit in a 2 × 2 × 3 box? ___

How to use this worksheet

Print one copy per child on standard letter or A4 paper. Set a quiet 10 to 15 minute window. Hand your student a sharpened pencil and an eraser, and let them work top to bottom. The first row is a warm-up on purpose. The last row is a stretch on purpose. Sit with them as they finish so any misconceptions surface right away instead of getting practiced into a bad habit.

If your student finishes quickly, flip the page over and ask them to write two new problems of their own that target the same skill. It's a powerful retention move. If they get stuck, pull out manipulatives that match the skill (counters for early addition, base-ten blocks for place value, fraction tiles for fractions) and work through one or two problems together before letting them try the rest on their own.

Common Core alignment

This page targets CCSS.Math.5.G inside the broader Geometry & Volume progression. The skill is introduced earlier in elementary school through concrete representations and revisited each year with greater abstraction. To see how it develops across grade levels, visit our Geometry & Volume hub. To see the rest of the Grade 5 work in this strand, visit the Grade 5 · Geometry & Volume collection.

More from Grade 5 · Geometry & Volume

Plot the point (6, 2) on the grid. What is the x-coordinate? ___ Plot the point (2, 8) on the grid. What is the x-coordinate? ___ Plot the point (9, 7) on the grid. What is the x-coordinate? ___ Plot the point (9, 4) on the grid. What is the x-coordinate? ___
Grade 5 Geometry & Volume

Coordinate plane (Quadrant I): Practice Worksheet

Help students build fluency with Coordinate plane (Quadrant I) using this Grade 5 printable from our Geometry & Volume series. Aligned to CCSS.Math.5.G, the page mixes routine comp…

Plot the point (7, 5) on the grid. What is the x-coordinate? ___ Plot the point (1, 6) on the grid. What is the x-coordinate? ___ Plot the point (4, 2) on the grid. What is the x-coordinate? ___ Plot the point (8, 2) on the grid. What is the x-coordinate? ___
Grade 5 Geometry & Volume

Coordinate plane (Quadrant I): Word Problems

Bring focused, low-prep practice into your classroom or home with this Grade 5 worksheet on Coordinate plane (Quadrant I). It targets the Geometry & Volume strand of the Common Cor…

Plot the point (4, 2) on the grid. What is the x-coordinate? ___ Plot the point (8, 9) on the grid. What is the x-coordinate? ___ Plot the point (7, 2) on the grid. What is the x-coordinate? ___ Plot the point (1, 1) on the grid. What is the x-coordinate? ___
Grade 5 Geometry & Volume

Coordinate plane (Quadrant I): Fluency Drill

Bring focused, low-prep practice into your classroom or home with this Grade 5 worksheet on Coordinate plane (Quadrant I). It targets the Geometry & Volume strand of the Common Cor…

Plot the point (5, 9) on the grid. What is the x-coordinate? ___ Plot the point (4, 7) on the grid. What is the x-coordinate? ___ Plot the point (2, 8) on the grid. What is the x-coordinate? ___ Plot the point (9, 7) on the grid. What is the x-coordinate? ___
Grade 5 Geometry & Volume

Coordinate plane (Quadrant I): Challenge Page

Designed for Grade 5 learners, this printable explores Coordinate plane (Quadrant I) through clear, scaffolded problems that grow in difficulty across the page so kids hit a stretc…

Plot the point (9, 4) on the grid. What is the x-coordinate? ___ Plot the point (5, 7) on the grid. What is the x-coordinate? ___ Plot the point (8, 6) on the grid. What is the x-coordinate? ___ Plot the point (2, 9) on the grid. What is the x-coordinate? ___
Grade 5 Geometry & Volume

Plotting ordered pairs: Practice Worksheet

Designed for Grade 5 learners, this printable explores Plotting ordered pairs through clear, scaffolded problems that grow in difficulty across the page so kids hit a stretch chall…

Plot the point (4, 3) on the grid. What is the x-coordinate? ___ Plot the point (2, 2) on the grid. What is the x-coordinate? ___ Plot the point (1, 5) on the grid. What is the x-coordinate? ___ Plot the point (9, 6) on the grid. What is the x-coordinate? ___
Grade 5 Geometry & Volume

Plotting ordered pairs: Word Problems

Use this free Grade 5 math worksheet to help your child master Plotting ordered pairs. It belongs to our Geometry & Volume collection, aligns with CCSS.Math.5.G, and is built so a …