Question

An art exhibit is made by stacking three identical prisms on top of each other end-to-end so their smallest faces overlap. One of the prisms is shown here.
Find the surface area of the total exhibit.​

Answer 1

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 $= 9$ inches,

The width of the base $=6$ inches, and

The height of the exhibit $= 3(17) = 51$ 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;

$A=2(w l+h l+h w)$

By substituting the values, we get

$A=2((6)(9)+(51) (9)+(51) (6)) = 2 (819) = 1,638.$

The surface area of the exhibit is 1,638 cubic inches.