Question

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

• A. $26m\times 22m\times 40m$
• B. $32m\times 24.5m\times 54m$
• C. $26m\times 12.5m\times 50m$
• D. $36m\times 22.5m\times 60m$

Answer 1

The correct option is D

$36m\times 22.5m\times 60m$

Dimensions of a model of multistorey building $=1.2m\times 75cm\times 2m$

Scale factor= 1:30= $\frac{1}{30}$

$\therefore$ Actual length= $1.2m\times \frac{30}{1}=36m$

and Breadth = $75cm=\frac{75\times 30}{100}m$

$=\frac{2250}{100}=22.5m$

and height= 2m

$=2\times \frac{30}{1}=60m$

$\therefore$ Actual dimensions of the building are $36m\times 22.5m\times 60m$