Find the surface area of a rectangular pyramid with these measurements: l = 13 cm, w = 11 cm, and h = 8 cm. Express your answer as a decimal rounded to the nearest hundredth.(1 point)

Answer 1

The surface area of a rectangular pyramid can be found using the formula:

Surface Area = l * w + l * sqrt((w/2)^2 + h^2) + w * sqrt((l/2)^2 + h^2)

Plugging in the given measurements:

Surface Area = 13 * 11 + 13 * sqrt((11/2)^2 + 8^2) + 11 * sqrt((13/2)^2 + 8^2)
Surface Area = 143 + 13 * sqrt((5.5)^2 + 64) + 11 * sqrt((6.5)^2 + 64)
Surface Area = 143 + 13 * sqrt(30.25 + 64) + 11 * sqrt(42.25 + 64)
Surface Area = 143 + 13 * sqrt(94.25) + 11 * sqrt(106.25)
Surface Area = 143 + 13 * 9.71 + 11 * 10.31
Surface Area = 143 + 125.23 + 113.41
Surface Area = 381.64

Therefore, the surface area of the rectangular pyramid is 381.64 cm^2.