To find the surface area of a square pyramid, we need to find the area of the base and the areas of the four triangular faces.
The area of the base of a square pyramid is calculated by finding the square of one side length. In this case, the side length is 1 inch, so the area of the base is 1^2 = 1 square inch.
To find the area of each triangular face, we'll use the formula: (1/2) × base × height.
The height of each triangular face is equal to the slant height, which is given as 2 inches.
For a square pyramid, the base and height of each triangular face are equal to the side length of the base. Therefore, the base of each triangular face is also 1 inch.
Now, let's calculate the areas of the four triangular faces:
Area of each triangular face = (1/2) × base × height = (1/2) × 1 inch × 2 inches = 1 square inch.
Since there are four triangular faces in a square pyramid, the total area of all the triangular faces is 4 square inches.
Finally, to find the surface area, we add the area of the base and the areas of the four triangular faces:
Surface area = Area of the base + Area of the triangular faces = 1 square inch + 4 square inches = 5 square inches.
Therefore, the surface area of the square pyramid is 5 square inches.
find the surface area of a square pyramid with side length 1 in and slant height 2 in
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