Foundation November 2020 Paper 3 Q20
20 A truck is used to transport some wood panels.
Each wood panel is a cuboid measuring 2.4 m by 1.2 m by 1.8 cm.
The density of each wood panel is 750 kg/m\(^3\).
The truck can carry 15 tonnes of these wood panels.
Calculate the maximum number of wood panels that the truck can carry.
Show how you decide. [6]
| Answer | Marks | Part marks and guidance | |
|---|---|---|---|
| 385 with correct working | 6 | M2 for [mass of one panel =] 2.4 × 1.2 × 0.018 × 750 or 240 × 120 × 1.8 × 0.750 or M1 for figs 24 × figs 12 × figs 18 × figs 750 or 2.4 × 1.2 × 0.018 or 240 × 120 × 1.8 AND B1 for 15 000 [kg] or 15 000 000 g seen or their mass correctly converted to tonnes M1 for \(\dfrac{\textit{figs } 15}{\textit{their mass}}\) A1 for 385.[…] to 387 If 0 or B1 scored instead award SC2 for answer 385 with no or insufficient working or SC1 for answer 385.[…] to 387 with no working | “Correct working” requires evidence of at least M2 AND B1 i.e. correct and consistent units used soi by 38.8 to 38.9 [kg] soi by 38 800 to 38 900 [g] soi by 0.0518 to 0.0519 [m\(^3\)] soi by 51 800 to 51 900 [cm\(^3\)] Assume their mass unit from M2, but do not assume from M1 only Accept any figure but not 2.4, 1.2, 1.8 and 750 for their mass For M1 accept one or more trial(s) of their mass × an integer in attempt to = their figs 15 |