Question

The dimensions of the model of a multistoreyed building are 1 m by 60 cm by 1.20 m. if the

scale factor is 1 : 50, find the actual dimensions of the building. Also find:

(i) the floor area of a room of the building, if the floor area of the corresponding room in the model is 50 sq. cm

(ii) the space (volume) inside a room of the model, if the space inside the corresponding room of the building is 90 m³.

Answer 1

The dimensions of the building are calculated as below.

Length = 1 × 50 m = 50 m

Breadth = 0.60 × 50 m = 30 m

Height = 1.20 × 50 m = 60 m

Thus, the actual dimensions of the building are 50 m × 30 m × 60 m.