Question

The dimension 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 dimension of the building.
Also find,
The floor area of a room of the building, if the floor area of the corresponding room in the model is 50 sq.cm.

Answer 1

The dimensions of the building are calculated as below.

Length $=1\times 50$ m $=50$ m

Breadth $=0.60\times 50$ m $=30$ m

Height $=1.20\times 50$ m $=60$ m

Thus, the actual dimensions of the building are $50$ m $\times 30$ m $\times 60$ m.

Floor area of the roomof the building$=50\times {\left(\frac{50}{1}\right)}^2$

$=125000{cm}^2=\frac{125000}{100\times 100}=12.5$sq.m