4MA0 Foundation January 2015 Paper 2 Q12
12
Diagram NOT accurately drawn
A carton measures 8 cm by 3 cm by 7 cm.
Cartons are packed into boxes.
A box measures 40 cm by 18 cm by 28 cm.
Work out the number of cartons that can completely fill one box.
(3)
| Scheme | Marks |
|---|---|
| 40 ÷ 8 or 18 ÷ 3 or 28 ÷ 7 or 5 or 6 or 4 or 8 × 3 × 7 or 168 or 40 × 18 × 28 or 20160 | M1 |
| "5" × "6" × "4" or "20160" ÷ "168" | M1 |
| 120 | A1 |
| (3) | |
| (3 marks) |
Notes
M1: for multiplier for at least one pair of edges (may be part of an expression eg. \(\dfrac{40 \times 28}{8 \times 7}\), 8 × 5 = 40 )
or for volume of at least one of the two cuboids
NB: May see 5 or 6 or 4 indicated on diagram
M1: dep