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