ANSWER
[tex]197 {in}^{2} [/tex]
EXPLANATION
The area of the two tra-pezoidal faces
[tex] = 2 \times \frac{1}{2} \times (9 + 5) \times 5 = 70 {in}^{2} [/tex]
The area of the 5 by 6.4 rectangular face
[tex] = 6.4 \times 5 = 32 {in}^{2} [/tex]
The area of the two square faces
[tex] = 2(5 \times 5) = 50 {in}^{2} [/tex]
The area of the 9 by 5 rectangular face is
[tex] = 9 \times 5 = 45 {in}^{2} [/tex]
The surface area of the design is:
[tex]70 + 32 + 50 + 45=197 {in}^{2} [/tex]
