The net of a rectangular pyramid in some of its dimensions in inches are shown in the diagram. What is the total surface area of the rectangular pyramid in square inches
To find the total surface area of the rectangular pyramid, we need to find the area of each face and then add them together.
1. The base of the pyramid is a rectangle with dimensions 6 inches by 8 inches. The area of the base is 6 * 8 = 48 square inches.
2. The four triangular faces all have the same dimensions, with a base width of 6 inches and a height of 5 inches. The formula for the area of a triangle is 1/2 * base * height. So the area of each triangular face is 1/2 * 6 * 5 = 15 square inches. There are four triangular faces, so the total area of all the triangular faces is 4 * 15 = 60 square inches.
3. The total surface area of the rectangular pyramid is the sum of the areas of the base and the triangular faces: 48 + 60 = 108 square inches.
Therefore, the total surface area of the rectangular pyramid is 108 square inches.