Answer:
The volume of the actual house is 1,324.94 cubic meters
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Height of the scale model = 53 cm
Height of the actual house = 624 cm
Scale of the model = 642/53 = 11.77
Volume of the scale model = 0.8125 cubic meters
2. What is the volume of the house?
For answering the question we have to find the width and the length of the model, then use the scale of the model for calculating the volume of the actual house, this way:
Volume of the scale model = 0.8125 cubic meters
Area of the scale model = Volume of the model/Height of the model
Area of the scale model = 0.8125/0.53
Area of the scale model = 1.533 square meters
Area of the scale model = Length * Width
Area of the scale model = 1.533 * 1
Now, we can calculate, the measurements of the house to calculate its volume:
Height of the actual house = 6.24 meters
Length of the actual house = 1.533 * 11.77 = 18.04 meters
Width of the actual house = 1 * 11.77 = 11.77 meters
Volume of the actual house = 6.24 * 18.04 * 11.77
Volume of the actual house = 1,324.94 cubic meters