Higher June 2018 Paper 3 Q13
13 Here are two similar solid shapes.
surface area of shape A : surface area of shape B = 3 : 4
The volume of shape B is 10 cm3
Work out the volume of shape A.
Give your answer correct to 3 significant figures. (3)
| Answer | Mark | Mark scheme |
|---|---|---|
| 6.50 | M1 | for method to find ratio or scale factor of lengths or volumes eg \(\sqrt{3} : 2\) or 1 : 1.15(47....) or 0.86(60…) : 1 or \(\sqrt{27} : 8\) oe |
| M1 | for complete method to find ratio of volumes and use to find required volume eg \(10 \div (\text{``}1.15...\text{''})^3\) or \(10 \times (\text{``}0.86...\text{''})^3\) | |
| A1 | for answer in the range 6.49 to 6.53 |
Additional guidance
Scale factors may just be seen as 1.15..., 0.86...etc
If an answer is given within the range then incorrectly rounded to 3 sig figs, award full marks. Accept 6.5