Question

1:750 scale model of the Sydney Opera House after a trip to Australia. The length of the model is 24.4 centimetrers. Find the actual length x (in meters) of the Sydney Opera House.

Answer 1

183 meters

Explanation:

A 1:750 scale model means that each cm on the model corresponds to 750 cm of the actual Sydney Opera House. If the model is 24.4 centimeters long, the actual Opera House has a length of:

`x = 24.4*750\\x=18,300\ cm\\x=183\ m`

The actual length of the Sydney Opera House is 183 m.