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)

Answer 1

[AI-generated answer — Bot GPT 3.5]

To find the surface area of a rectangular pyramid, we need to find the area of all five faces and add them together.

The base of the pyramid is a rectangle with length l = 15 m and width w = 12 m, so the area of the base is 15 * 12 = 180 m^2.
There are four identical triangular faces, each with a base equal to the width of the rectangle and a height equal to the height of the pyramid. So, the area of each triangular face is (1/2) * 12 * 10 = 60 m^2.
The total surface area of the pyramid is the sum of the base area and the area of the four triangular faces: 180 + 4 * 60 = 420 m^2.
Therefore, the surface area of the pyramid is 420 m^2.