📦 Primary Maths & Science Games · Grade 5 · Cuboid surface area and volume
Cuboid Net, Surface Area and Volume: Unfold It in 3D
Typical slips: adding three faces and forgetting × 2, keeping the lid on an open box, and mixing up surface area with volume. Unfold it once and fill it with cubes once, and the formulas explain themselves.
- Free, no sign-up
- Ad-free play area
- Tablet friendly
- Parent mode
- A4 worksheet
- 5 levels
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How to play
- In Explore, set the length, width and height, drag to turn the cuboid and pull Unfold to lay the 6 faces flat.
- Tap a pair of faces on the right to highlight both; press Fill with cubes to build the volume layer by layer.
- Levels: know the cuboid, surface area, open boxes and sides, volume, and working from a net.
Curriculum unit
Primary maths, grade 5: cuboids and cubes, nets, surface area, volume and units of volume (PEP textbook, grade 5, book 2, unit 3). For cube nets and painted cubes see the painted-cube visualizer.
For parents and teachers
Mistakes are grouped as forgot × 2, missed a pair, kept the lid, mixed up area and volume, and counted one layer, and the worksheet targets the weakest type.
FAQ
What is the surface area formula for a cuboid?
Surface area = (l × w + l × h + w × h) × 2, because opposite faces are identical.
How do I work out an open box?
Find the full surface area and take away the top (length × width). For a label round the sides, add only the 4 side faces.
Why is volume length × width × height?
Each layer holds length × width cubes of 1 cm³, and there are height layers.