Question

Hi! I have been looking for this awnsers for days now and I still have no clue how to do this problem. Please Help :)

Answer 1

Answer: 480 sq ft

Step-by-step explanation:

for two rectangles on right do 8*16 =128*2 = 256

the rectangle on the right is also 128

total of all rectangles is 384 ft

now for the triangles

formula: 1/2 b*h

1/2 * 16*6 = 48

multiply that by 2 for both triangles

you have 96

add that to total and you get

480 sq ft

Answer 2

Answer:

Step-by-step explanation:

The hypotenuse of the triangles is the length of the rectangles so the length of the rectangles is 16 ft. The width of the rectangles is 8 ft. There are 3 rectangles so the surface area of them is:

(16*8)*3 = 384$ft^{2}$

The area of a triangle is base times height divided by two. Here, the height of the two triangles is 6 ft and the base is 16 ft. So, the area of the two triangles is:

$\frac{6*16*2}{2}$ = 16*6 = 96  $ft^2$

Add the two areas together to get the surface area.

384$ft^2$ + 96$ft^2$ = 480$ft^2$

Hence, the surface area of the triangular prism is 480$ft^2$

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