The dimensions of the model of a multistorey building are 1 m × 60 cm × 1.25 m. If the model is drawn to a scale 1 : 60, find the actual dimensions of the building in meters. Find:

(i) the floor area of a room of the building, whose area in the model is 250 cm²,

(ii) the volume of the room in the model, whose actual volume is 648 cubic metres.

A model of a ship is made to a scale of 1 : 250. Find :

(i) the length of the ship, if the length of its model is 1.2 m.

(ii) the area of the deck of the ship, if the area of the deck of its model is 1.6 m².

(iii) the volume of its model, when the volume of the ship is 1 cubic kilometer.

Figures which have exactly the same shape, but not necessarily the same …………… are said to be similar.

1. angle

2. side

3. size

4. volume

All regular polygons having the same number of …………… are similar.

1. sides

2. angles

3. diagonals

4. centric