Assume that the prisms at right are similar.  

1. Solve for $x$ and $y$.

   Hint (a):

   Remember that the ratios of corresponding sides are equal if two triangles are similar.

1. What is the ratio of the corresponding sides of Solid $B$ to Solid $A$?

   Answer (b):

   $\frac{4}{3}$

2. If the base area of Solid $A$ is $27$ square units, find the base area of Solid $B$.

   Hint (c):

    $\text{Base area of solid}=(27)\left(\frac{4}{3}\right)^2$