Higher June 2024 Paper 3 Q9
9 The diagram shows a cube and a square-based pyramid.
The volume of the cube is equal to the volume of the pyramid.
Work out the perpendicular height, \(h\) cm, of the pyramid. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 10.125 | P1 | for process to find volume of at least one of the cube or the pyramid, eg \(6 \times 6 \times 6\ (= 216)\) oe or \(k \times 8 \times 8 \times h\ (= \tfrac{64}{3}h)\) oe |
| P1 | for process to form an equation, eg \(6 \times 6 \times 6 = k \times 8 \times 8 \times h\) or \(\text{``}216\text{''} = \tfrac{64}{3}h\) or for process to find \(h\) eg \(\text{``}216\text{''} \div 8^2 \div k\) | |
| A1 | for 10.125 oe mixed number |
Additional guidance
Check diagram for working
Throughout \(0 \lt k \leqslant 1\)