Lateral and Surface Area Formulas

Lateral Area of Prisms

• The formula for finding the lateral area (LA) of a prism is LA = ph, where p is the perimeter of the base and h is the height of the prism.

Surface Area of Prisms

• The surface area (SA) of a prism is calculated using SA = LA + 2B, where LA is the lateral area and B is the area of the base.

Lateral Area of Cylinders

• For cylinders, the lateral area is determined by the formula LA = 2πrh, combining the radius (r) and height (h) of the cylinder.

Surface Area of Cylinders

• The formula for the surface area of a cylinder is SA = LA + 2B, similar to prisms, where B represents the area of the circular base.

Lateral Area of Pyramids

• For pyramids, the lateral area is given by LA = (1/2) * p * l, where p is the perimeter of the base and l is the slant height.

Surface Area of Pyramids

• The surface area of a pyramid can be found using the formula SA = LA + B, where LA is the lateral area and B is the area of the base.

Lateral Area of Cones

• The lateral area of a cone is calculated using LA = (1/2) * (2πr) * l, where r is the radius and l is the slant height of the cone.