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
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.