10.6 cm
10 cm
12 cm
14 cm
What is the surface area of the rectangular pyramid?
To calculate the surface area of a rectangular pyramid, you need to add up the areas of all the individual faces.
1. The base of the rectangular pyramid is a rectangle with dimensions of 10.6 cm and 12 cm. The area of the base is 10.6 cm * 12 cm = 127.2 cm^2.
2. The four triangular faces of the pyramid have the same dimensions, with a base of 10.6 cm and a height of 14 cm. The area of one triangular face is 0.5 * base * height = 0.5 * 10.6 cm * 14 cm = 74.2 cm^2. Since there are four triangular faces, the total area of the four faces is 4 * 74.2 cm^2 = 296.8 cm^2.
Therefore, the total surface area of the rectangular pyramid is the sum of the base area and the four triangular faces area: 127.2 cm^2 + 296.8 cm^2 = 424 cm^2.
So, the surface area of the rectangular pyramid is 424 cm^2.