To solve these problems, we'll use the scale factor of 1:18, where the model car represents 1 unit and the actual car represents 18 units.
a. The model car has a length of 8 inches. To find the length of the actual car, we can multiply the length of the model car by the scale factor:
Length of actual car = Length of model car * Scale factor
Length of actual car = 8 inches * 18
Length of actual car = 144 inches
Therefore, the length of the actual car is 144 inches.
b. Each tire of the model car has a surface area of 12.1 square inches. To find the surface area of each tire of the actual car, we can again use the scale factor:
Surface area of each tire of actual car = Surface area of each tire of model car * Scale factor^2
Surface area of each tire of actual car = 12.1 square inches * 18^2
Surface area of each tire of actual car = 12.1 square inches * 324
Surface area of each tire of actual car = 3920.4 square inches
Therefore, the surface area of each tire of the actual car is 3920.4 square inches.
c. The actual car's engine has a volume of 8748 cubic inches. To find the volume of the model car's engine, we can use the scale factor:
Volume of model car's engine = Volume of actual car's engine / Scale factor^3
Volume of model car's engine = 8748 cubic inches / 18^3
Volume of model car's engine = 8748 cubic inches / 5832
Volume of model car's engine ≈ 1.5 cubic inches (rounded to one decimal place)
Therefore, the volume of the model car's engine is approximately 1.5 cubic inches.