4MA0 Foundation June 2017 Paper 2R Q16
16 The diagram shows a cuboid and a triangular prism.
Diagram NOT accurately drawn
The volume of the cuboid is equal to the volume of the triangular prism.
Work out the value of \(x\).
(4)
| Scheme | Marks |
|---|---|
| 10 × 4.2 × 7.5 or 315 (cm³) oe | M1 |
| Eg \(0.5 \times 7 \times x \times 5\) or \(17.5x\) oe | M1 |
\(10 \times 4.2 \times 7.5 = 0.5 \times 7 \times x \times 5\) or \(17.5x = 315\) oe or \(\dfrac{10 \times 4.2 \times 7.5}{0.5 \times 7 \times 5}\) or \(\dfrac{\text{"}315\text{"}}{\text{"}17.5\text{"}}\) oe | M1 |
| 18 | A1 |
| (4) | |
| (4 marks) |
Notes
M1: For volume of cuboid
M1: indep
For volume of triangular prism
M1: Dep on M2
For a correct equation involving volume of cuboid and volume of prism or
For a correct expression for \(x\)
A1: 18
SCB2 for For volume of cuboid = 315 and final answer = 9