Surface Area of Pyramids Return to table of contents Surface Area of Pyramids What is a pyramid? Polyhedron with one base and triangular faces that click to reveal meet at a vertex How do you find Surface Area? Sum of the areas of all the surfaces of a 3-D Figure click to reveal Find the Surface Area. 17.5 cm go on to see steps 7 cm 8 cm Find the Surface Area. 17.5 cm 7 cm 8 cm Bottom Rectangle 8 x 7 56 Surface Area 56 140 + 122.5 2 318.5 cm 8 cm Front/Back Triangles 17.5 cm 17.5 cm 7 cm 7 cm 8 cm Left/Right Triangles Find the surface area of a square pyramid with base edge of 4 inches and triangle height of 3 inches. 3 in Base 4 x4 16 click to reveal 4 in 4 Triangles click to reveal Surface Area 16 + 24 2 40 in click to reveal Find the surface area. Be sure to look at the base to see if it is an equilateral or isosceles triangle (making all or two of the side triangles Triangles equivalent!). Base (all equal) 6 in 3.5 in 4 in click to reveal click to reveal 4 in 4 in Surface Area 7 + 36 2 43 in click to reveal 42 Which has a greater Surface Area, a square pyramid with a base edge of 8 in and a height of 4 in or a cube with an edge of 5 in? A B Square Pyramid Cube 43 Find the Surface Area of a triangular pyramid with base edges of 8 in, base height of 4 in and a slant height of 10 in. 10 in 8 in 6.9 in 8 in 8 in 44 Find the Surface Area. 11 m 12 m 6.7 m 9m 9m