A net of a square-based pyramid is shown below.
What is the surface area, in square centimeters, of the pyramid?
To find the surface area of the pyramid, we need to calculate the area of each of its faces and add them together.
The net of the pyramid shows that there are 5 faces: the base and 4 triangular faces.
The base of the pyramid is a square, and its area can be calculated by multiplying its length by its width.
Let's assume the length of one side of the square base is 's'. Therefore, the area of the base is s x s, or s^2.
Next, we need to find the area of each triangular face.
Each triangular face has a base that is equal to the length of one side of the square base, which is 's'.
To find the height of the triangle, we can draw a perpendicular line from the top vertex to the base, splitting the triangle into two right triangles. The height of each right triangle is equal to the height of the pyramid.
Since the net does not provide any measurements, we cannot determine the exact dimensions of the pyramid or its height. Therefore, we cannot find the exact surface area of the pyramid.
However, if you know the length of one side of the square base and the height of the pyramid, you can calculate the areas of the triangular faces and the base and add them together to find the surface area of the pyramid.