Intermediate November 2022 Unit 1 Q4
4. A cuboid is to be drawn on the isometric grid below.
Find a possible length, width and height for the cuboid, such that:
- the cuboid has a volume of 12 cm3
- each of the length, width and height is a whole number of centimetres.
Write the length, width and height of your cuboid in the spaces below.
Use the grid below to draw an isometric representation of your cuboid. [3]
Length = ………………… cm Width = ………………… cm Height = ………………… cm

| Scheme | Marks | Comments |
|---|---|---|
| Choice of length, width and height such that length × width × height = 12 i.e. 12 × 1 × 1 6 × 2 × 1 4 × 3 × 1 3 × 2 × 2 | B1 | Must be whole numbers for B1. May be seen in any order. Award B1 if length, width and height are not stated but implied by the cuboid drawn. |
| Correct cuboid drawn | B2 | Ignore orientation of cuboid. FT ‘their length, width and height’. For B2, their cuboid must have edges along or parallel to the 3 directions usually associated with isometric paper (the two diagonals and the vertical). Award B1 for one of the following:
Ignore attempt at handling ‘hidden lines’. |