Answer:

Step-by-step explanation:
step 1
Find the surface area of the smaller rectangular prism

where
B is the area of the base
P is the perimeter of the base
h is the height of the prism
![SA=2[(2.5)(1.5)]+2(2.5+1.5)(1.5)](https://tex.z-dn.net/?f=SA%3D2%5B%282.5%29%281.5%29%5D%2B2%282.5%2B1.5%29%281.5%29)

step 2
Find the surface area of the cube

where
s is the length side of the cube

step 3
Find the lateral area of the cylinder

where
D is the diameter of the base
L is the length of cylinder

step 4
Find the area of the base of cylinder

we have
----> the radius is half the diameter

step 5
Find the surface are of the composite figure
we know that
The surface area of the composite figure is equal to the surface area of the smaller rectangular prism plus the lateral area of the cylinder, plus the surface area of the cube, minus the area of the two bases of cylinder
so
