The surface area of the exhibit is 1,638 cubic inches.
Step-by-step explanation:
Step 1:
If three prisms are out on top of each other we get a shape as follows;
The length of the base [tex]= 9[/tex] inches,
The width of the base [tex]=6[/tex] inches, and
The height of the exhibit [tex]= 3(17) = 51[/tex] inches.
To find the surface area of the total exhibit we consider there to be only one shape which the above dimension.
Step 2:
There are 6 faces to the exhibit.
The surface area of a rectangular prism is given by;
[tex]A=2(w l+h l+h w)[/tex]
By substituting the values, we get
[tex]A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.[/tex]
The surface area of the exhibit is 1,638 cubic inches.
