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.
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
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