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)??
The surface area of a rectangular pyramid is given by the formula:
Surface Area = l * w + l * √(w/2)^2 + w * √(l/2)^2
Plugging in the given values, we have:
Surface Area = 13 * 11 + 13 * √(11/2)^2 + 11 * √(13/2)^2
= 143 + 13 * √(121/4) + 11 * √(169/4)
= 143 + 13 * 5.5 + 11 * 6.12
= 143 + 71.5 + 67.32
= 281.82
Rounding to the nearest hundredth, the surface area of the rectangular pyramid is approximately 281.82 square cm.