Paper 2 · Mensuration
The diagram shows a metal object made up of two identical cuboids and a cylinder riveted together. The cuboids have dimensions 10 cm by 6 cm by 4 cm. The cylinder has a height of 6 cm and a diameter of 4 cm. Take pi to be 22/7. (a) Calculate (i) the exposed area of ABCD, (ii) the surface area of cuboid ABCDEFGH, (iii) the curved surface area of the cylinder, (iv) the total surface area of the object. (b) Given that the volume of the metal used is 555,4 cm^3 and that the density of the metal is 9 000 kg/m^3, calculate, giving your answer correct to the nearest kg, the mass of the object.
Model answer
47,43 cm^2
Also accepted: 47.43 cm^2, 47,43, 47.43, 47,4 cm^2, 75,43 cm^2, 75.43 cm^2, 75,43, 75.43, 75,4 cm^2, 546,29 cm^2, 546.29 cm^2, 546,29, 546.29, 546,3 cm^2, 546 cm^2, 5 kg, 5, 4,9986 kg, 47.43 cm^2; 235.43 cm^2; 75.43 cm^2; 546.29 cm^2; 5 kg, 235,43 cm^2, 235.43 cm^2, 235,43, 235.43
ZIMSEC Mathematics 4028/2, November 2011, Q7, via the Topical Collection