Question

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

Answer 1

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.