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The visible surfaces of the figure shown here are to be covered with a special paint that is only sold in liters. How many liters must be purchased if a liter covers 15 m2? Units shown are in meters.12 13 16

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Answer #1

ANSWER: Labelling the visible faces by numbers I to IX

\text{ Area of I}=13\times 12=156\ m^2\\ \text{ Area of II}=16\times 12=192\ m^2\\ \text{ Area of III}=13\times 16=208\ m^2\\ \text{ Area of IV}=13\times 14=182\ m^2\\ \text{ Area of V}=13\times 8=104\ m^2\\ \text{ Area of VI}=8\times 14=112\ m^2\\ \text{ Area of VII}=8\times 12=96\ m^2\\ \text{ Area of VIII}=23\times 12=276\ m^2\\ \text{ Area of IX}=23\times 8=184\ m^2\\ \color{blue}\text{ Total visible Area }=1510\ m^2\\ \color{red} \text{ Total amount of paint required }=\frac{1510}{15}\approx100.67\ litres

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