Question

Mr.Williams' class built this platform for a school event. They also built a model of the platform in which 1 foot was represented by 2 inches. What is the volume of the platform? What is the volume of the model?

Answer 1

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