The rectangular prisms shown below are similar. What are the values of x and y?

9514 1404 393
Answer:
Step-by-step explanation:
We can write the corresponding dimensions:
larger : smaller
heigh: 8 : y
width: 12 : 9
depth: 3 : x
Since the figures are similar, corresponding values are proportional. This means ...
y/8 = 9/12
y = 8(9/12)
y = 6
__
x/3 = 9/12
x = 3(9/12) = 9/4
x = 2 1/4