Paper 2 · November 2016 (topical set) · Mensuration
The diagram shows a trough in the form of a prism whose cross section ABCD is a trapezium with AD parallel to BC and the measurements are in centimetres. AD = 40, BC = 21, AB = 18, the perpendicular height from BC to AD is 14 and the trough is 90 long. (a)(i) Calculate the area of the cross-section ABCD of the trough. (ii) Calculate the capacity of the trough when full. (b) The inside of the trough is to be painted. One litre of the paint covers an area of 1 496 cm^2. (i) Calculate the area of the trough to be painted. (ii) Calculate the number of litres of paint needed to paint the inside of the trough to the nearest litre. (iii) Calculate the cost of the paint if one litre of the paint costs $6,30.
Model answer
427 cm^2
Also accepted: 427 cm2, 427, 38 430 cm^3, 38430 cm^3, 38 430, 38430, 38,43 litres, 5984 cm^2, 5 984 cm^2, 5984, 5 984, 4 litres, 4, $25,20, $25.20, 25,20, 25.20, 25,2, 427 cm^2; 38 430 cm^3; 5984 cm^2; 4 litres; $25,20
ZIMSEC Mathematics 4030/2, November 2016, Q7, via the Topical Collection