Foundation November 2017 Unit 1 Q14
14. The two cuboids shown below have equal volumes.
Diagrams not drawn to scale
Calculate the height \(h\) of Cuboid B.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Volume of cuboid A =) 6 × 3 × 2 (= 36cm3) OR (Volume of cuboid B =) 2 × 2 × h | M1 | M1 for sight of 36 OR 4h. |
| 6 × 3 × 2 = 2 × 2 × h OR 6 × 3 = 2 × h | M1 | This implies M1M1. |
| \(\dfrac{6 \times 3 \times 2}{2 \times 2}\) = h OR 36 = 4h | m1 | Award M1M1m1 for 6 × 3 × 2 = 2 × 2 × 9 (but not the A1) Allow correct FT value of 9 if ‘their 6 × 3 × 2’ ≠ 36 |
| (h =) 9(cm) | A1 | C.A.O. May be seen on diagram. |