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Question

The model of a building is constructed with scale factor 1:30.(i)if the height of the model is 80 cm, find the actual height of the building in metres.(ii)The the actual volume of a tank at the top of the building is 27 m3,find the volume of the tank on the top of the model


A

14 m, 0.001 m3

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B

24 m, 0.001 m3

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C

24 m, 0.01 m3

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D

14 m, 0.01 m3

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Solution

The correct option is B

24 m, 0.001 m3


Scalefactork=130(i)Height of model = k times height of building 0.80 m =(1/30)×heightofbuildingHeight of building =0.8×30m=24m(ii)Volume of tank on model =k3 times volume of actual tank(130)3×27 m3=130×130×130×27 m311000m3=0.001 m3


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