Question

The dimensions of the model of a multistorey building are 1.2 m$\times 75cm\times 2m.$
If the scale facor is 1 : 30; find the actual dimesions of the building.

• A. $23m\times 22.5m\times 60m$
• B. $12m\times 22.5m\times 60m$
• C. $17m\times 22.5m\times 60m$
• D. $36m\times 22.5m\times 60m$

Answer 1

The correct option is D $36m\times 22.5m\times 60m$

Scaling factor = $\frac{Lengthofmodel}{Lengthofbuilding}$
$\frac{1}{30}=\frac{1.2}{Lengthofbuilding}$
Length of building = $1.2\times 30$
Length of building = $36$ m
Similarly, Breadth of building = $75\times 30$ = 22.5 m
Height of building = $30\times 2$ = 60 m
hence, dimensions of building are : $36\times 22.5\times 60$