Question

A model of a building uses a scale of 2 cm : 1.5m. The height of the building is 27 meters. What is the height of the model?

Answer 1

The height of the model should be 36 cm

Explanation:

The ratio given by the scale "2 cm : 1.5 m", is what we need to use to write a proportion and solve for the unknown height "h". This means that 2 cm is to 1.5 meters, as "h" cm is to 27 meters, which can be written in math form with the following proportion, and solved for the unknown:

`(2\,cm)/(1.5\,m) =(h)/(27\,m) \\(2\,*\,27)/(1.5) \,cm\\h= 36\,cm`