Answer:
A.
Step-by-step explanation:
We have been given that Cube A and Cube B are similar solids. The volume of cube A is 27 cubic inches, and the volume of cube B is 125 cubic inches. We are asked to find the the number of times the base area of cube b is larger than the base area of cube A.
We know that volume of cube with each side of
units is equal to
.
First of all, we will find the each side of cube A and B as:

![\sqrt[3]{A^3} =\sqrt[3]{27}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BA%5E3%7D%20%3D%5Csqrt%5B3%5D%7B27%7D)


![\sqrt[3]{B^3} =\sqrt[3]{125}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7BB%5E3%7D%20%3D%5Csqrt%5B3%5D%7B125%7D)

Now, we will find base area of both cubes as:



Therefore, the base area of cube B is
times larger than the base area of cube A.