Paper 2 · June 2019 (topical set) · Mensuration
The diagram shows the cross-section of a garden shed. The cross-section ABCDE is made up of a rectangle measuring 2 m by 2,2 m and an isosceles triangle with a perpendicular height of 0,6 m and a base of 2 m. (a) Calculate the area of the cross-section. (b) If the shed is 3 m long, calculate the volume of the shed. (c) It is given that 23 m^2 of the surface area of the shed need to be painted and that one tin of paint covers an area of 4,5 m^2. Calculate the number of tins of paint that have to be bought to cover the 23 m^2. (d)(i) Calculate the length of the edge DE. (ii) The sloping roof is to be covered by roofing material which costs $6.40 per square metre. Calculate the cost of roofing material needed to cover the sloping roof.
Model answer
5 m^2
Also accepted: 5 m2, 5, 5 square metres, 15 m^3, 15 m3, 15, 6 tins, 6, 1,17 m, 1.17 m, 1,17, 1.17, 1,166 m, $44,78, $44.78, 44,78, 44.78, $44,93, $44.93, 44,93, 5 m^2; 15 m^3; 6 tins; 1,17 m; $44,78, 5; 15; 6; 1.17; 44.78
ZIMSEC Mathematics 4004/2, June 2019, Q11, via the Topical Collection