Online Surface Area of a Square Pyramid Tutors

Online Surface Area of a Square Pyramid Tutors A square pyramid is a 3-dimensional geometric figure consisting of a base and 4 triangles. These 4 triangles of the pyramid join the base to a single point on top known as the apex or the vertex of the pyramid. A pyramid can have different bases, but the pyramid having a square base is known as the square pyramid. Surface area of a square pyramid can be calculated by finding the sum of the area of the base and the areas of the 4 triangles together. Example 1: What is the surface area of a square pyramid which has a base length of 5m and a slant height of 12m? Given: base length, b= 5m Slant height of the pyramid, s = 12m Since it is a square pyramid, the base of the pyramid is a square. Surface area of a square pyramid = b2 + 2* b* s This gives: Surface area of the square pyramid, SA= (5)2 + (2 * 5 * 12) = 25+ 120= 145m2 Therefore, the surface area of the given square pyramid is 145m2 Example 2: What is the surface area of a square pyramid which has a base length of 7m and a slant height of 11m? Given: base length, b= 7m Slant height of the pyramid, s = 11m Since it is a square pyramid, the base of the pyramid is a square. Surface area of a square pyramid = b2 + 2* b* s This gives: Surface area of the square pyramid, SA= (7)2 + (2 * 7 * 11) = 49+ 154= 203m2 Therefore, the surface area of the given square pyramid is 203m2