Question

What is the surface area of the figure shown?

484.8 square inches
500.8 square inches
452.8 square inches
404.8 square inches

Answer 1

The surface area is
`404.8\ in^(2)`

Explanation:

we know that

The surface area of the figure is equal to

`SA=2B+PL`

where

B is the area of the trapezoidal face

P is the perimeter of the trapezoidal face

L is the length of the figure

Find the area of B

`B=(1)/(2)(15+5)8\\ \\B=80\ in^(2)`

Find the perimeter P

`P=(8+5+12.8+15)=40.8\ in`

we have

`L=6\ in`

substitute the values

`SA=2(80)+(40.8)(6)=404.8\ in^(2)`