Question

Bess makes a model of a train car shaped like a rectangular prism with a length that is 3 times the width and a height that is twice the width. She decides to make a larger model with twice the volume by doubling each dimension. Will this work? Explain.

a) Yes, it will work because doubling each dimension doubles the volume.
b) No, it won't work because the dimensions must be tripled.
c) Yes, it will work because the volume is proportional to the dimensions.
d) No, it won't work because the relationship between dimensions and volume is not linear.

Answer 1

The change in height of Block B is proportional to the original height, and it will be twice as much as the change in height of Block A.

Step-by-step explanation:

(c) The change in height is proportional to the original height.

Because the original height of Block B is twice that of A, the change in the height of Block B is twice that of Block A.

The change in height of Block B is proportional to the original height, and it will be twice as much as the change in height of Block A.