A 1:20 model of a house is made. If the model has the volume of 15000cm³ , find the volume of the real house in cubic metres

1 answer

To find the volume of the real house, we need to determine the scale factor between the model and the actual house. Since the model is 1:20 scale, the scale factor is 20.

To find the volume of the real house, we need to cube the scale factor (20) and multiply it by the volume of the model:

Volume of real house = (20^3) * 15000 cm³
Volume of real house = 8000000 cm³

Since 1m³ = 1,000,000 cm³, we can convert the volume of the real house to cubic metres:

Volume of real house = 8000000 cm³ / 1,000,000 cm³/m³
Volume of real house = 8 m³

Therefore, the volume of the real house is 8 cubic metres.