Question

Find the surface area of the prism.

Answer 1

B

Explanation:

Base area = (length x height)/2 = (6 x 4)/2 = 12 ft^2

Base perimeter = (side 1 + side 2 + side 3) = 6 + 5 + 5 = 16 ft

LA = base perimeter x 13 = 16 x 13 = 208 ft^2

SA = (base area x 2) + LA = 24 + 208 = 232 ft^2

Answer 2

256 ft^2

Explanation:

1. Find the base's area. 6 ft x 13 ft = 78 ft ^2

2. Find the area of one of the sides (if you know what I mean). 13 ft x 5 ft = 65 ft ^2

3. Find the area of the front (it's the triangle). 6 ft x 4 ft = 24 ft ^2 (no need to times by 1/2)

4. Before we add them all together, there are two of the sames sides that have an area of 65 ft (^2), so you add them twice. Same goes to the triangles (because there is one triangle in the front and one on the back).

5. Add.

65 ft ^2 + 65 ft ^2 + 78 ft ^2 + 24 ft ^2 + 24 ft ^2 = 256 ft^2