How Do You Calculate Surface Area Of A Pyramid?
A pyramid is a three-dimensional shape that usually has a square base and four triangular sides that meet at a single point. Calculating the surface area is a matter of calculating the area of one of those triangles and multiplying by four. The hard part is finding the area of one of the triangles. For that you need to know the length of the base and the height of the point. Obtain the pyramid’s height and base length. Divide the base length by two. This example uses the measurement for the glass pyramid the The Louvre in Paris. Base = B = 35 m B/2 = 17.5 m Height = H = 21.65 m Use the Pythagorean Theorem to calculate the slant height (S) of one of the faces. Pythagorean Theorem: a^2 + b^2 = c^2 (B/2)^2 + H^2 = S^2 S^2 = 774.9725 S = 27.84 m Multiply the slant height by half the base length to get the area of a triangular face (FA). Multiply the result by four to get the total surface area of the triangular faces (TA). For most real-world applications, this is the desired surface area.
