Answer :

Answer:

3,380 ft²

Step-by-step explanation:

We will look at this as the rectangular prism, and the triangular prism

The surface of the rectangular prism...

The front and back are rectangles with dimensions of 20x36, there are 2 rectangles, so the area is...

2(20x36) = 2(720) = 1.440

The top and bottom of the are rectangles with dimensions of 10x36, there are 2 rectangles, so the area is...

2(10x36) = 2(360) = 720

The left side is a rectangle with dimension of 10x20, so the area is 10(20) = 200

The triangular prism...

the front and back are triangles with a height of 20 and a base of 24, there are 2 triangles, so the area is...

2[(1/2)(20x24)] = 2[(1/2)(480)] = 480

The bottom is a rectangle with dimensions of 24x10, the area is 240

The top of the triangle is a rectangle with dimensions of 10x30, the are is 300

Putting them all together gives us..

1,440 + 720 + 200 + 480 + 240 + 300 = 3,380 ft²

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