Mathematics
A model of a high size building is made to a scale of 1 : 50.
(i) If the height of the model is 0.8 m, find the height of the actual building.
(ii) If the floor area of a flat in a building is 20 m2, find the floor area of that in the model.
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Answer
(i) Given, the height of the model = 0.8 m
Since, the model of the building is constructed with scale 1 : 50.
∴ k (Scale factor) = 50
⇒ Height of building = k × Height of model of the building = 50 × 0.8 = 40 m
Hence, height of building = 40 m.
(ii) The floor area of a flat = k2 x the floor area of a model flat
⇒ 20 = 502 x Floor area of a model flat
⇒ 20 = 2500 x Floor area of a model flat
⇒ Floor area of a model flat = = 0.008 m2
Hence, the floor area of that in the model = 0.008 m2.
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