The surface area of a rectangular pyramid can be found using the formula:
Surface Area = base area + lateral area
The base of the pyramid is a rectangle, so the base area is given by:
Base area = l * w = 15 * 12 = 180 m^2
The lateral area can be found by calculating the area of each face and summing them up. Since the pyramid is rectangular, the two opposite faces will have the same area. The area of each triangular face is given by:
Face area = 0.5 * base * height
The base of each face is the width of the rectangle, and the height is the height of the pyramid. Therefore, the area of each face is:
Face area = 0.5 * 12 * 10 = 60 m^2
Since there are four triangular faces, the lateral area is:
Lateral area = 4 * Face area = 4 * 60 = 240 m^2
Finally, we can calculate the total surface area by summing up the base area and the lateral area:
Surface area = Base area + Lateral area = 180 + 240 = 420 m^2
Rounded to the nearest hundredth, the surface area of the rectangular pyramid is 420.00 m^2.
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) m2
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