Answer:
A. 24.53 inches long
B. 7.95 inches tall
C. 5.83 inches tall
Step-by-step explanation:
Original size of the Titanic was 883 feet long and 175 feet tall.
A. Scale ratio of 1 in : 36 ft.
scale ratio of a model = [tex]\frac{1}{36}[/tex]
Now length = [tex]\frac{scale}{actual}[/tex]
Let the length of the model be l inches
so length = [tex]\frac{l}{883}[/tex] = [tex]\frac{1}{36}[/tex]
l = [tex]\frac{883}{36}[/tex]
= 24.52777 ≈ 24.53 inches long.
B. Scale ratio of 1 in : 22 ft.
scale ratio of a model = [tex]\frac{1}{22}[/tex]
Let the model will be h inches tall.
so height = [tex]\frac{h}{175}[/tex] = [tex]\frac{1}{22}[/tex]
h = [tex]\frac{175}{22}[/tex]
= 7.954545 ≈ 7.95 inches tall
C. Scale ratio of 1 in : 30 ft.
scale ratio of model = [tex]\frac{1}{30}[/tex]
Let the model will be h inches tall.
so height = [tex]\frac{h}{175}[/tex] = [tex]\frac{1}{30}[/tex]
h = [tex]\frac{175}{30}[/tex]
= 5.83 inches tall.
