Volume of cuboids
Find the volume of right rectangular prisms by packing with unit cubes and show it equals l × w × h (or base area × height); apply V = l × w × h and V = B × h to solve real-world problems; calculate, estimate, and compare volumes of cubes and cuboids in standard units (cm³, m³); and recognise that the formula applies to cuboids, while an irregular solid built from cubes must be counted or split into cuboids
Lesson
Set out your lesson
“Volume of cuboids 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
- Unit cubes or squared paper nets
- Pencil for recording
Extra for the adult
Worked example. A 2 by 3 by 4 cuboid has volume 24 unit cubes.
Optional challenge. For Volume of cuboids, add one harder example after success.
What to notice. Keep one parent note: examples tried; results; support used. This session samples Volume of cuboids, 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 practiceVolume of cuboids practice
Practice key ideas from Volume of cuboids.
Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.
Learning resources
Extra practice links — they do not replace Gakuva’s teaching approach.
Illustrative Mathematics · Practice link — not the full lesson
Cari's Aquarium
Before you open · source notes
Cari's aquarium supports volume of cuboids with length, width, and height. Not every irregular solid.
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 find an aquarium volume using length × width × height.
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. “Cari's Aquarium.” 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
- Use V = l × w × h to find the volume of a cuboid 4 cm × 3 cm × 5 cm = 60 cm³
- Explain why packing a prism with unit cubes gives the same result as multiplying edge lengths
- Compare the 60 cm³ cuboid with an irregular model built from 58 centimetre cubes, explaining that the formula works for the cuboid but the model's cubes must be counted
“If your child wants to work out how much soil fits in a plant box that is 40 cm long, 20 cm wide, and 15 cm deep, can they use a formula to calculate the volume?”
Curriculum record
- Type
- Procedural
- Subject
- Mathematics
- Domain
- Measurement
- Age range
- Ages 10–13
Standards