Question

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

Answer 1

Dimensions of a model of multistorey building = 1.2 m × 75 cm × 2 m

Given scale factor = k = 30

∴ Actual length of building

= k × length of model

= `1.2  m xx 30/1`

= 36 m

And actual breadth of building

= k × breadth of model

= 75 cm

= `(75 xx 30)/100 m`

= `2250/100 m`

= 22.5 m

Actual height of building

= k × height of model

= `2 xx 30/1`

= 60 m

∴ Actual dimensions of the building are 36 m × 22.5 m × 60 m