Foundation June 2023 Paper 3 Q19
19 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) A has 3, B has 5 A has 6 sides, on B each cube only has 5 Ratio is 3:5 (accept equivalent ratios) The bottom and the top are missing (or covered) When they are put together you lose two faces You wouldn’t count two sides (condone sides for faces) Some of the faces are covered You cannot see one side because they are stacked together One face covered Part of the area of A is covered where it joins B Both touching sides | B2 B2 B2 B2 B2 B2 B2 B2 B2 B2 B2 B2 |
| Yes ticked or Cannot tell ticked | B0 |