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

Answer 1

The surface area of a rectangular pyramid can be found by adding the area of the base to the sum of the areas of the four triangular faces.

First, we calculate the area of the base:
Area of the base = length * width = 13cm * 11cm = 143cm²

Next, we calculate the area of each of the four triangular faces:
Area of a triangular face = (1/2) * base * height

Base of the triangular face = length of the rectangle = 13cm
Height of the triangular face = height of the pyramid = 8cm

Area of each triangular face = (1/2) * 13cm * 8cm = 52cm²

Now, we calculate the surface area by adding the area of the base to the sum of the areas of the four triangular faces:
Surface area = Area of the base + sum of the areas of the four triangular faces
Surface area = 143cm² + 4 * 52cm² = 143cm² + 208cm² = 351cm²

Therefore, the surface area of the rectangular pyramid is 351cm².