For every 1ft in the original, the model used 2in
1ft:2in
There are 12inches in a foot, so we could also write the ratio as
12in:2in
12/2=6 So the model is 6X smaller than the original
The length of the original was 9ft
L=9ft
The width of the original was 4ft
W=4ft
The height of the original is 6ft
H=6ft
The volume of the original is:
V=L*W*H
V=9*6*4=216ft³
Now lets find the dimensions of the model...
If the length of the original was 9 feet we just divide that number by 6 to find the length of the model.
9/6= 1 1/3 ft
The length of the model is 1 1/3ft or 16in
If the width of the original was 4 feet we just divide that number by 6 to find the width of the model.
4/6= 2/3 ft
The width of the model is 2/3ft or 8in
If the height of the original was 6 feet we just divide that number by 6 to find the height of the model.
6/6=1ft
The height of the model is 1ft or 12 inches
The volume of the model is...
V=l*w*h=16in*8in*12in=1536in³
***Edit*** The answer is now completed
