O-LevelMathematicsMensuration4024/21 · May/June 2024 · Q710 Marks
A cuboid has dimensions 5 cm by 12 cm by h cm. The volume of the cuboid is 480 cm³. Calculate the value of h. h=
- (a)A cuboid has dimensions 5 cm by 12 cm by h cm. The volume of the cuboid is 480 cm³. Calculate the value of h. h=[2]
- (b)(i)ABCDE is a pentagon. AE is parallel to BD. AE = 21 cm, BD = 16cm and DE = 8 cm. Angle DEA = 90° and angle CBD = 65°. Calculate angle BAE. Angle BAE =[3]
- (b)(ii)The area of pentagon ABCDE is 200 cm². Calculate the length of BC. BC = cm[5]
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Mark scheme
Marking points from the official mark scheme (May/June 2024). The mark or mark type is shown in brackets.
- [2] 8
- [2] M1 for 5 × 12 × h = 480 oe
- [3] 58[.0] or 57.99... nfww
- [3] M2 for tan[] = 8/(21-16) oe
- [3] or B1 for horizontal distance 21 – 16 soi
- [5] 7.17 or 7.171 to 7.172
- [5] M2 for 200 - (1/2)(16+21)×8 oe
- [5] or M1 for (1/2)(16+21)×8 oe
- [5] M2 for (2×their 52)/16 = 16/sin 65 oe
- [5] or M1 for 1/2 × BC × 16 × sin 65 oe
- [5] or for [height =] (2×their 52)/16
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