O-LevelMathematicsMensuration4024/12 · May/June 2017 · Q225 Marks
A container is made out of thin material in the shape of a cuboid with an open top. The container has length 15 cm and width 8 cm. The volume of the container is 720 cm³. [Figure: Diagram of an open cuboid with length 15 cm, width 8 cm, and height h cm.]
- (a)Calculate the height, h cm, of the container.[2]
- (b)Calculate the surface area of the outside of the container.[2]
- (c)Liquid is poured into the container. The liquid fills 60% of the container. Calculate the height of the liquid in the container.[1]
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Mark scheme
Marking points from the official mark scheme (May/June 2017). The mark or mark type is shown in brackets.
- [2] (a) 6
- M1 for 720 = 15 × 8 × h soi
- [2] (b) 396
- FT their h
- C1FT for answer 276 or for answer 516
- or M1FT for 8 × 15 + 2 × their 6 × 8 + 2 × 15 × their 6
- [1] (c) 3.6 oe
- FT 0.6 × their 6
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