Counting Unit Cubes
Measure and estimate the volume of solids by counting unit cubes: build cuboids from 1 cm³ cubes and count them, count the cubes in models and drawings (including hidden cubes), estimate how many cubes will fill a box and check by filling it, and record volumes in cubic units (cm³, in³, ft³ or improvised units)
Lesson
Set out your lesson
“Counting Unit Cubes means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.”
Bring to the table
- Paper shapes or a ruler and pencil
- Shape name cards
Extra for the adult
Worked example. A rectangle has four right angles. Naming the property is the check.
Optional challenge. For Counting Unit Cubes, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Counting Unit Cubes, not mastery.
Share and support
Family records and proof options
Keep a record of your learning
Save photos, notes, and attendance. Export a proof packet for compliance or portfolio reviews.
Practice this concept
Start practiceCounting Unit Cubes practice
Practice key ideas from Counting Unit Cubes.
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Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Computing Volume Progression 1
Before you open · source notes
Volume progression 1 supports counting unit cubes to find volume. Not every surface-area total.
Free, no sign-in. A teacher solution is on the same page, so use the student view with your child.
Before you openAsk the learner to count unit cubes in a solid and state the volume.
Opening this link does not save learning or assess mastery.
Source, access and review notes
Public Illustrative Mathematics task page. The .html address responds HTTP 308 to this URL. An anonymous GET of this URL on 2026-11-12 returned HTTP 200 with no login or payment prompt. Where a teacher solution is present, it is on the same page as the student task; this check did not find a separate locked student view. An adult can use the student view section and should not read a solution aloud. Advertising was not observed in the fetched HTML text; that is not a browser, device, or ad-free guarantee. This is a paper or discussion task, not an automatically marked interactive game. Opening the link does not save practice or assess mastery. Diagrams on the page use missing or filename-only alt text, so they are not an accessible image equivalent. Accessibility still depends on an adult describing the picture.
Illustrative Mathematics. “Computing Volume Progression 1.” Licensed CC BY-NC-SA 4.0. External task; Gakuva does not copy, host, embed, or redistribute it.
CC BY-NC-SA 4.0 — link only
Check understanding
- Build a 3 × 2 × 2 cuboid from 1 cm³ cubes and state its volume as 12 cm³
- Count the cubes in a drawing of a solid built from cubes, including the hidden ones at the back, and give the volume in cubic units
- Estimate how many centimetre cubes will fill a small box, then fill it to check
“If your child has a small cardboard box, can they estimate how many sugar cubes would fit inside and then fill it to check — and count the cubes in a picture of a cube model, including the hidden ones at the back?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Measurement
- Age range
- Ages 9–13
Standards