Higher June 2022 Paper 1 Q9
9 A cube is placed on top of a cuboid, as shown in the diagram, to form a solid.
The cube has edges of length 4 cm.
The cuboid has dimensions 7 cm by 6 cm by 5 cm.
Work out the total surface area of the solid. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 278 | P1 | for working out at least 3 areas from \(5 \times 7\ (= 35)\) \(5 \times 6\ (= 30)\) \(7 \times 6\ (= 42)\) \(4 \times 4\ (= 16)\) |
| P1 | for a complete process, eg \(\text{``}35\text{''} \times 2 + \text{``}30\text{''} \times 2 + \text{``}42\text{''} + (\text{``}42\text{''} - \text{``}16\text{''}) + \text{``}16\text{''} \times 5\) oe or \(\text{``}35\text{''} \times 2 + \text{``}30\text{''} \times 2 + \text{``}42\text{''} \times 2 + \text{``}16\text{''} \times 4\) OR for a process to find the total surface area of at least 5 faces for each solid, eg \(\text{``}35\text{''} \times 2 + \text{``}30\text{''} \times 2 + \text{``}42\text{''}\) and \(\text{``}16\text{''} \times 6\) or \(\text{``}35\text{''} \times 2 + \text{``}30\text{''} \times 2 + \text{``}42\text{''} \times 2\) and \(\text{``}16\text{''} \times 5\) | |
| A1 | cao |
Additional guidance
Total surface area of cuboid = 214
Total surface area of cube = 96