Foundation June 2018 Unit 2 Q18
18. Cube A and cuboid B are shown below.
Diagrams not drawn to scale
Express the volume of B as a percentage of the volume of A.
You must show all your working. [4]
| Scheme | Marks | Comments |
|---|---|---|
| (Volume A =) 5 × 5 × 5 (cm3) OR (Volume B =) 4 × 4 × 5 (cm3) | M1 | For use of Vol = l × b × h with either A or B. |
| (Volume A =) 125 (cm3) AND (Volume B =) 80 (cm3) | A1 | C.A.O. for both volumes. One correct implies previous M1. |
| (Volume of B as a percentage of the volume of A) = \(\dfrac{80}{125}\) (× 100%) | M1 | F.T. their derived volumes. |
| = 64(%) | A1 | An answer of 64(%) gains all four marks. Allow marks if they work with base areas (as heights are equal). |
Alternative method
(Where 125 cm3 and 80 cm3 not shown.)
| Scheme | Marks | Comments |
|---|---|---|
| 5 × 5 × 5 (cm3) OR 4 × 4 × 5 (cm3) | M1 | |
| \(\dfrac{4 \times 4 \times 5}{5 \times 5 \times 5}\) (×100%) | M2 | |
| = 64(%) | A1 |