Question
Find the surface area of a rectangular pyramid with these measurements: l = 15 m, w = 12 m, and h = 10 m. Express your answer as a decimal rounded to the nearest hundredth.(1 point)
To find the surface area of a rectangular pyramid, we need to find the area of each side and add them up.
The base of the pyramid is a rectangle with length (l) and width (w). The area of the base is l * w.
The other four sides are triangles. To find the area of each triangle, we need to find the base and the height.
The base of each triangle is the same as the length or width of the base rectangle. The height of each triangle is the height (h) of the pyramid.
Therefore, the area of each triangle is (1/2) * base * height.
The total surface area is the sum of the area of the base and four sides.
Given l = 15 m, w = 12 m, and h = 10 m, we can now calculate the surface area.
Area of base = l * w = 15 * 12 = 180 m^2
Area of each triangle = (1/2) * base * height = (1/2) * 15 * 10 = 75 m^2
Total surface area = Area of base + 4 * Area of each triangle = 180 + 4 * 75 = 180 + 300 = 480 m^2
The surface area of the rectangular pyramid is 480 square meters.