Foundation June 2017 Paper 2 Q9
9. Jack has been set this problem by his teacher.
‘How many cubes with sides of length 2 cm will fit inside the box?’
Diagram not drawn to scale
The box is a cuboid with the measurements shown.
Diagram not drawn to scale
Jack has worked out that:
The volume of the cube is 8 cm\(^3\).
The volume of the box is 560 cm\(^3\).
560 ÷ 8 = 70
So 70 cubes will fit inside the box.
The volume of the box is 560 cm\(^3\).
560 ÷ 8 = 70
So 70 cubes will fit inside the box.
Jack’s teacher has checked his work and told him that all his calculations are correct but his answer to the problem is wrong.
(a) What is wrong with the method Jack used? [1]
(b) What effect has Jack’s method had on his answer to the problem? [1]
(c) Calculate how many cubes will fit inside the box. [2]
| Scheme | Marks | Comments |
|---|---|---|
| Explanation. E.g. ‘whole cubes need to fit into the box’, ‘can only fit 3 layers’, ‘7 is an odd number so some space would be left’ or ‘he hasn’t used the dimensions of the box’. ‘2 doesn’t go into 7 exactly’ | E1 |
| Scheme | Marks | Comments |
|---|---|---|
| Explanation. e.g. ‘the answer is too big’ or ‘the number of cubes will be smaller’ ‘he has calculated too many’ | E1 | Do not accept ‘his answer is incorrect’ |
| Scheme | Marks | Comments |
|---|---|---|
| (number of cubes =) 4 x 5 x 3 | M1 | |
| = 60 | A1 | Answer of ‘60’ implies M1A1 |
| (4) |