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Find the Surface Area of the Square Pyramid. 15 Ft 16 Ft 16 Ft

Question

Find the surface area of the square pyramid. 15 ft 16 ft 16 ft

Solution

Verificación de expertos
3.9 (266 Votos)
Giovanni Mestre · Tutor por 5 anos

Resposta

To find the surface area of a square pyramid, we need to calculate the area of its base and the area of its four triangular faces.Given:- The side length of the base (a) = 16 ft- The slant height (l) = 15 ft1. **Calculate the area of the base:**The base is a square, so its area is given by: 2. **Calculate the area of the four triangular faces:**Each triangular face has a base equal to the side of the square and a height equal to the slant height of the pyramid. The area of one triangular face is: Since there are four triangular faces, the total area of the triangular faces is: 3. **Calculate the total surface area of the pyramid:**The total surface area is the sum of the area of the base and the area of the four triangular faces: Therefore, the surface area of the square pyramid is .