The model of a building is constructed with the scale factor 1:30. (i

1.	The model of a building is constructed with the scale factor 1:30. (i) If the height of the model is 80 cm, find the actual height of the building in metres.(ii) If the actual volume of a tank at the top of the building is 27 m, find the volume of the tank on the top of the model.
Answer» Here, scale factor (k) = 1/30 (i) Height of the model = k(Actual height of the building) ⇒ 80 cm = 1/30 (Actual height of the building) ⇒ Actual height of the building = 30 × 80 = 2400 cm (ii) Volume of the tank at the top of the model = k³(Actual volume of the tank) ⇒ Volume of the tank at the top of the model = (1/30)³ x 27 m³ = 0.001 m³

The model of a building is constructed with the scale factor 1:30. (i) If the height of the model is 80 cm, find the actual height of the building in metres.(ii) If the actual volume of a tank at the top of the building is 27 m, find the volume of the tank on the top of the model.

Answer»

Here, scale factor (k) = 1/30

(i) Height of the model = k(Actual height of the building)

⇒ 80 cm = 1/30 (Actual height of the building)

⇒ Actual height of the building = 30 × 80 = 2400 cm

(ii) Volume of the tank at the top of the model

= k³(Actual volume of the tank)

⇒ Volume of the tank at the top of the model

= (1/30)³ x 27 m³ = 0.001 m³