Higher June 2023 Paper 3 Q21
21 A solid shape is made from centimetre cubes.
The front elevation and side elevation of the shape are shown.
Not drawn accurately
Work out
the maximum possible number of cubes in the shape
and
the minimum possible number of cubes in the shape. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(72\ (-)\ 6\) or 66 or \(63\ (-)\ 6\) or 57 or \(45\ (+)\ 21\) or 66 or \(36\ (+)\ 21\) or 57 or \(56\ (+)\ 10\) or 66 or \(49\ (+)\ 8\) or 57 | M1 | large rectangle subtract missing rectangle, implied by volumes of 864 and 72 splits side elevation vertically, implied by volumes of 540 and 252 splits side elevation horizontally, implied by volumes of 672 and 120 oe may be on diagram |
| 792 or 165 | A1 | |
| Maximum 792 and Minimum 165 | A1 |