Question

A prism has a right triangle as its base with a hypotenuse that measures 15 meters and legs that measure 9 meters and 12 meters. What is the surface area of this prism if the height of the prism is 11 meters?

450 m2

486 m2

504 m2

612 m2

Answer 1

The area of the base is (9*12)/2 = 108/2 = 54 square meters

So double this to get 54*2 = 108 square meters since there are 2 bases (top and bottom base)

Answer 2

The lateral faces are rectangles. There are 3 lateral faces

The first rectangle has a base of 15 with the height of 11. So the area of this rectangle is 15*11 = 165 square meters

The second rectangle has a base of 12 with the height of 11. So the area of this rectangle is 12*11 = 132 square meters

The third rectangle has a base of 9 with the height of 11. So the area of this rectangle is 9*11 = 99 square meters

Answer 3

So the lateral surface area is 165+132+99 = 396 square meters

Answer 4

Do you know what to do from here?

Answer 5

not really..

Answer 6

oh nvm i understand now! thanks!!

Answer 7

what did you get?

Answer 8

You should have added the total base area to the lateral surface area to get the total surface area

Answer 9

i mean 504

Answer 10

108+396 = 504, so you got it