Fin the surface area of the figure to the nearest whole number.

198 ft ^ 2

Step-by-step explanation:

The figure is divided into two, a rectangular prism and a pyramid.

The formula for the surface area for the rectangular prism is:

A1 = 2ab + 2bc + 2ac

we know that the sides are a = 4.5, b = 4.5 and c = 6, replacing:

2 * 4.5 * 4.5 + 2 * 4.5 * 6 + 2 * 4.5 * 6 = 148.5 ft ^ 2

Now for the pyramid, the surface area is:

A2 = Ab + 1/2 * p * s

The base area is, since it is a square:

Ab = 4.5 ^ 2

Ab = 20.25 ft ^ 2

Now the perimeter, being a square, is one side times 4:

p = 4.5 * 4

p = 18 ft

and the value for "s" is shown in the figure and is 3.3 ft, replacing:

A2 = 20.25 + 1/2 * 18 * 3.3

A2 = 49.95 ft ^ 2

Now the total area is:

At = A1 + A2 =

At = 148.5 + 49.95

At = 198.45 ft ^ 2

Therefore the surface area of the figure is 198 ft ^ 2