1MA0 Higher June 2015 Paper 1 Q5
5 Jane makes cheese.
The cheese is in the shape of a cuboid.
Diagram NOT accurately drawn
Jane is going to make a new cheese.
The new cheese will also be in the shape of a cuboid.
The cross section of the cuboid will be a 5 cm by 5 cm square.
Diagram NOT accurately drawn
Jane wants the new cuboid to have the same volume as the 2 cm by 10 cm by 15 cm cuboid.
Work out the value of \(x\). (3)
| Answer | Mark | Notes |
|---|---|---|
| 12 | 3 | M1 for a method to find volume of a cuboid, eg. \(2 \times 10 \times 15\) (= 300) or \(5 \times 5 \times x\) (= \(25x\)) M1 (dep) for \(\text{``}300\text{''} \div \text{``}25\text{''}\) oe A1 cao OR M1 for \(10 \div 5\) (= 2) and \(15 \div 5\) (= 3) or \(10 \div 5\) (= 2) and \(2 \div 5\) (= 0.4) M1 (dep) for \(2 \times \text{``}2\text{''} \times \text{``}3\text{''}\) or \(15 \times \text{``}2\text{''} \times \text{``}0.4\text{''}\) A1 cao |