The surface area of a rectangular pyramid is calculated by finding the area of the rectangular base and adding the areas of the four triangular faces.
First, calculate the area of the rectangular base:
Area of rectangle = length x width
Area of rectangle = 14 cm x 12 cm
Area of rectangle = 168 cm²
Next, calculate the area of each triangular face:
Area of triangular face = 0.5 x base x height
Area of triangular face = 0.5 x 12 cm x 10.6 cm
Area of triangular face = 63.6 cm²
There are four triangular faces on a rectangular pyramid, so the total area of the four triangular faces is:
Total area of triangular faces = 4 x 63.6 cm²
Total area of triangular faces = 254.4 cm²
Finally, add the area of the base and the area of the four triangular faces to find the total surface area of the rectangular pyramid:
Total surface area = Area of rectangle + Total area of triangular faces
Total surface area = 168 cm² + 254.4 cm²
Total surface area = 422.4 cm²
Therefore, the surface area of the rectangular pyramid is 422.4 cm².
What is the surface area of the rectangular pyramid? (1 point) Measurements bottom is 14 cm bottom right is 12cm top right middle is 10.6cm and middle is 10cm
1 answer