Question 2 — IGCSE 0580 May/June 2023 Paper 41
Cambridge IGCSE Mathematics 0580, Extended tier, calculator. Topic: Vectors · Vectors (basic). Worth 16 marks.
Open in interactive question bank →
Question text
2
F
NOT TO
SCALE
D
E C
A B
The diagram shows a solid triangular prism ABCDEF of length 15 cm.
AB = 6.4 cm, EB = 5.7 cm and the volume of the prism is 145 cm3.
(a) Show that angle EBA = 32°, correct to the nearest degree.
[3]
(b) Find the length of EA.
.......................................... cm [3]
© UCLES 2023 0580/41/M/J/23
5
(c) Calculate the shortest distance from E to AB.
............................................ cm [3]
(d) Calculate the angle BF makes with the base, ABCD, of the prism.
................................................. [4]
(e) The prism is made of plastic with density 938 kg/m3.
Calculate the mass of the prism in grams.
[Density = mass'volume]
.............................................. g [3]
© UCLES 2023 0580/41/M/J/23 [Turn over
6
Mark scheme
