Find the surface area of a rectangular pyramid with these measurements length equals 13 cm with equals 11 m and height equals 8 cm express your answer as a decimal rounded to the nearest 10th
To find the surface area of a rectangular pyramid, we need to calculate the area of each face and then sum them up.
First, let's calculate the area of the base. The base is rectangular and its area is given by the formula: length * width.
Area of base = 13 cm * 11 m * 100 cm/m = 14300 cm²
Next, let's calculate the areas of the triangular faces. Each triangular face has a base equal to the length of the pyramid's base (13 cm) and a height equal to the pyramid's height (8 cm).
Area of a triangular face = (1/2) * base * height
Area of each triangular face = (1/2) * 13 cm * 8 cm = 52 cm²
There are four triangular faces, so the total area of the four triangular faces is 4 * 52 cm² = 208 cm².
Finally, let's calculate the surface area of the rectangular pyramid by summing up the areas of the base and the triangular faces.
Surface area of the rectangular pyramid = Area of base + Area of triangular faces
= 14300 cm² + 208 cm²
= 14508 cm²
Rounded to the nearest 10th, the surface area of the rectangular pyramid is approximately 14508 cm².