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)

A rectangular pyramid has a base that is a rectangle and four triangular faces. To find the surface area, we need to find the areas of each face and then add them up.

The area of the base rectangle is length times width: 13 cm × 11 cm = 143 cm².

To find the area of each triangular face, we need to find the area of the base of the triangle and then multiply by 4 (since there are four triangular faces). The base of each triangle is equal to the width of the rectangular pyramid, which is 11 cm. The height of each triangle is equal to the height of the rectangular pyramid, which is 8 cm.

The area of each triangular face is (base × height) / 2 = (11 cm × 8 cm) / 2 = 88 cm².

The total surface area is the sum of the area of the base and the areas of the four triangular faces: 143 cm² + 4(88 cm²) = 143 cm² + 352 cm² = 495 cm².

Rounded to the nearest hundredth, the surface area of the rectangular pyramid is 495.00 cm².