Higher June 2023 Paper 3 Q6
6 Here is cuboid A.
Cuboid B is made from two of cuboid A.
volume of A : volume of B = 1 : 2
Matthew says,
“surface area of A : surface area of B must be 1 : 2 because B is made of 2 of A.”
Is Matthew correct?
Tick one box.
- Yes
- No
- Cannot tell
Give a reason for your answer. [2 marks]
| Answer | Mark | Comments |
|---|---|---|
| No ticked and correct reason or correct evaluation of the surface areas for any numerical or algebraic values or correct ratio of the surface areas | B2 | eg 2 faces are hidden B1 No ticked |
Additional guidance
| Ignore irrelevant reasons or evaluations alongside a correct reason or evaluation, unless contradictory | |
| “No” may be implied by a correct reason | |
| Accept reasoning that uses A as a cube | |
| No ticked and | |
| A has 6, B has 10 (condone sides for faces) | B2 |
| A has 3, B has 5 | B2 |
| A has 6 sides, on B each cube only has 5 | B2 |
| Ratio is 3:5 (accept equivalent ratios) | B2 |
| The bottom and the top are missing (or covered) | B2 |
| When they are put together you lose two faces | B2 |
| You wouldn’t count two sides (condone sides for faces) | B2 |
| Some of the faces are covered | B2 |
| You cannot see one side because they are stacked together | B2 |
| One face covered | B2 |
| Part of the area of A is covered where it joins B | B2 |
| Both touching sides | B2 |
| Yes ticked or Cannot tell ticked | B0 |