Answer and Step-by-step explanation:
To find the surface area of a rectangular prism, you must find the area of each side of the prism and add all of them together.
The area of a rectangle is length × width.
The rectangle facing towards us:
Length = 10 in.
Width = 3 in.
10 × 3 = 30 in.
There are two of these faces, so we multiply by 2 (which is the same as adding both faces together).
30 × 2 = 60 in.
The rectangle on the left (or right) side of the prism:
Length = 9 in.
Width = 3 in.
9 × 3 = 27 in.
There are two of these faces, so we multiply by 2.
27 × 2 = 54 in.
The rectangle on the top (or bottom) side of the prism:
Length = 10 in.
Width = 9 in.
10 × 9 = 90 in.
There are two of these faces, so we multiple by 2.
90 × 2 = 180 in.
Now we add these three values to get the surface area of the rectangular prism.
60 + 54 + 180 = 294 square inches.
So, the final answer is 294 square inches.
