Find the surface area of a rectangular pyramid with these measurements: l = 8 yd., w = 4 yd., and h = 2 yd.(1 point)
Responses
66 yd.2
66 yd. 2
55.55 yd.2
55.55 yd. 2
43.31 yd.2
43.31 yd. 2
72.52 yd.2
To find the surface area of a rectangular pyramid, you need to find the area of the base and the area of the four triangular faces.
The area of the base is found by multiplying the length and width. In this case, the base area would be 8 yards * 4 yards = 32 square yards.
To find the area of the triangular faces, you need to find the area of each triangle separately and then add them together.
First, find the area of one of the triangular faces. To do this, you multiply 1/2 the base (which is 8 yards) by the height (which is 2 yards). So, the area of one triangular face would be (1/2) * 8 yards * 2 yards = 8 square yards.
Since there are four triangular faces on a rectangular pyramid, you multiply the area of one triangular face by 4 to get the total area of the triangular faces. So, the total area of the triangular faces would be 8 square yards * 4 = 32 square yards.
Finally, to find the surface area, you add the area of the base and the area of the triangular faces. In this case, the surface area would be 32 square yards (base area) + 32 square yards (total area of triangular faces) = 64 square yards.
Therefore, the correct answer is 64 yd.2