Foundation June 2022 Paper 3 Q17
17 Some boxes are each in the shape of a cuboid.
The base of each box is exactly 35 cm by 45 cm.
The boxes are to be placed on their base, side by side against a wall.
If all the shorter sides or if all the longer sides are against the wall, they fit perfectly with no gaps.
Find the shortest possible length of the wall. [4]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 315 | 4 | B3 for answer 630 or 945 or 1260 or M3 for \(3 \times 3 \times 5 \times 7\) or \(5 \times 7 \times 9\) OR M1 for [35 =] 5 and 7 M1 for [45 =] 3 and 3 and 5 OR M1 for 35, 70, 105, 140, (… 280, 315) M1 for 45, 90, 135, 180, (… 270, 315) | Accept final answer 3.15 m for 4 marks, ideally “cm” would be crossed out but BOD if not May be in factor tree, allow 9 and 5 Must have first 4 correct in each list |