Question

Im not sure how to find the surface area. 35 points

Answer 1

Answer: 3060 ft^2

Step-by-step explanation:

We will calculate the surface area of the rectangular prism and the triangular prism separately and then subtract off the face that isn't on the surface.

For the rectangular prism:

SA= Ph + 2B

P = 36+36+10+10

P = 92

B = 36*10 = 360

SA = 92*20+2*360

SA = 1840+720

SA = 2560

We subtract off the face on the right of the rectangular prism because it isn't on the surface so we get 2560-200 = 2360

Now for the triangular prism:

SA= Ph + 2B

P = 15+20+25

P = 60

B = 15*20/2

B = 150

SA = 60*10+2*150

SA = 600+300

SA = 900

Again we subtract off the face on the left bescause it's not on the surface so we get 900-200 = 700

Therefore, the total surface area = 2360+700 = 3060 ft^2