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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)
m2

1 answer

To find the surface area of a rectangular pyramid, we need to calculate the area of each face and add them together.

The base of the pyramid is a rectangle, so the area of the base is 15 m * 12 m = 180 m^2.

Each triangular face of the pyramid has a base equal to the width of the rectangle (12 m) and a height equal to the height of the pyramid (10 m).

Since there are four triangular faces, the total combined area of the triangular faces is 4 * (1/2 * 12 m * 10 m) = 240 m^2.

To find the total surface area, we add the area of the base and the area of the triangular faces: 180 m^2 + 240 m^2 = 420 m^2.

Therefore, the surface area of the rectangular pyramid is 420 m^2.
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