Solve word problems that involve surface area of pyramids and prisms. Use the dimensions provided to calculate the area of each of the lateral faces of the pyramid. A net is a pattern made when the surface of a three-dimensional figure or solid is laid out flat showing each face of the figure.
Then calculate the lateral surface area of the pyramid by finding the sum of areas of the lateral faces.
For a cone the lateral surface area would be p rl where r is the radius of the circle at the bottom of the cone and l is the lateral height the length of a line segment from the apex of the cone along its side to its base of the cone given by the Pythagorean theorem l r 2 h 2 where h is the height of the cone. The lateral area of a three-dimensional solid is the area of all the lateral faces. For a cone the lateral surface area would be p rl where r is the radius of the circle at the bottom of the cone and l is the lateral height the length of a line segment from the apex of the cone along its side to its base of the cone given by the Pythagorean theorem l r 2 h 2 where h is the height of the cone. Solve word problems that involve surface area of pyramids and prisms.