Question

What is the surface area of this design? 5 in 5 in 6.4 in 5 in 9 in

a. 150 in squared

b. 197 in squared

c. 127 in squared

d. 210 in squared

Answer 1

Explanation:

Answer 2

`197 {in}^(2)`

EXPLANATION

The area of the two tra-pezoidal faces

`= 2 * (1)/(2) * (9 + 5) * 5 = 70 {in}^(2)`

The area of the 5 by 6.4 rectangular face

`= 6.4 * 5 = 32 {in}^(2)`

The area of the two square faces

`= 2(5 * 5) = 50 {in}^(2)`

The area of the 9 by 5 rectangular face is

`= 9 * 5 = 45 {in}^(2)`

The surface area of the design is:

`70 + 32 + 50 + 45=197 {in}^(2)`