Foundation June 2017 Paper 3 Q12
12 The diagram shows a cube of side length 2 cm.
Vera says,
“The volume of any solid made with 6 of these cubes is 48 cm³”
(a) Is Vera correct?
You must show your working. (2)
You must show your working. (2)
(b)
(i) Draw a cuboid that can be made with 6 of these cubes.
Write the dimensions of the cuboid on your diagram. (1)
Write the dimensions of the cuboid on your diagram. (1)
(ii) Work out the surface area of your cuboid. (2)
| Answer | Mark | Notes |
|---|---|---|
| Yes (supported) | M1 | method to find volume of one cube, eg \(2 \times 2 \times 2\) or \(2^3\ (= 8)\) or draws a solid of 6 cubes |
| C1 | Yes with supporting evidence eg \(2 \times 2 \times 2 = 8\), \(8 \times 6 = 48\) |
| Answer | Mark | Notes |
|---|---|---|
| (i) cuboid drawn | B1 | either a 1 by 6 by 1 cuboid (2 cm by 12 cm by 2 cm) or a 2 by 3 by 1 cuboid (4 cm by 6 cm by 2 cm) drawn |
| (ii) 104 or 88 | M1 | ft for finding areas of 3 or more faces of their cuboid and adding |
| A1 | for 104 or 88 |