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
To find the surface area of a rectangular pyramid, we need to find the area of each of the five faces and then add them together.
First, let's find the area of the base. The area of a rectangle is given by the formula length times width, so the area of the base is 15 m times 12 m, which is 180 m^2.
Next, let's find the area of the four triangular faces. The area of a triangle is given by the formula (1/2) times base times height. Each of the triangular faces has a base equal to the length or width of the base rectangle, and a height equal to the height of the pyramid. So the area of each triangular face is (1/2) times 15 m times 10 m, which is 75 m^2.
Now we can calculate the total surface area by adding up the area of the base and the five triangular faces: 180 m^2 + 4 * 75 m^2 = 180 m^2 + 300 m^2 = 480 m^2.
Therefore, the surface area of the rectangular pyramid is 480 square meters.