Find the surface area of a rectangular pyramid with these measurements l = 13cm, 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 is given by the formula:

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

where l is the length, w is the width, and h is the height of the pyramid.

Plugging in the given values:

Surface Area = 13 * 11 + 13 * √(11/2)^2 + 11 * √(13/2)^2
Surface Area = 143 + 13 * √(121/4) + 11 * √(169/4)

Now we can simplify the expressions under the square root:

Surface Area = 143 + 13 * (11/2) + 11 * (13/2)
Surface Area = 143 + 143/2 + 143/2
Surface Area = 143 + 71.5 + 71.5

Adding these numbers together:

Surface Area = 286 + 71.5 + 71.5
Surface Area = 429 cm²

Therefore, the surface area of the rectangular pyramid is 429 square centimeters.