1MA0 Foundation November 2016 Paper 2 Q18
18
Diagram NOT accurately drawn
A company packs boxes into a container.
The container is a cuboid, 600 cm by 300 cm by 200 cm.
Each box is a cuboid, 50 cm by 25 cm by 20 cm.
Work out the largest number of boxes that can be packed into the container. (3)
| Answer | Mark | Notes |
|---|---|---|
| 1440 | 3 | M1 for correct method to find volume of a cuboid eg \(300 \times 600 \times 200\) (= 36000000) or \(25 \times 50 \times 20\) (= 25000) M1 (dep) for “volume of container” \(\div\) “volume of box” A1 cao Ignore units. OR M1 for correct method to find number of boxes along one edge eg \(300 \div 25\) (= 12) or \(600 \div 50\) (= 12) or \(200 \div 20\) (= 10) M1 (dep) for intention to use 3 values to find total number of boxes A1 cao Ignore units. NB : must use consistent units for M marks. |