Higher June 2019 Paper 3 Q24
24 The length of a diagonal of a cuboid is 20 cm
The diagonal makes an angle of 24° with the base.
The area of the base is 150 cm2
Work out the volume of the cuboid. [3 marks]
| Answer | Mark | Comments |
|---|---|---|
| \(\sin 24 = \dfrac{h}{20}\) | M1 | oe \(\cos 66 = \dfrac{h}{20}\) \(\dfrac{20}{\sin 90} = \dfrac{h}{\sin 24}\) |
| \(20 \times \sin 24\) or 8.1… | M1dep | \(20 \times \cos 66\) \(\dfrac{20}{\sin 90} \times \sin 24\) |
| [1215, 1221] | A1 | with no incorrect working seen |
Additional guidance
| \(150 \times 20 \times \sin 24\) | M1M1 |