Lateral Area of a Prism

Prisms

A prism is a figure with two congruent parallel faces, called bases

Other faces are called lateral faces

An altitude of a prism is a perpendicular segment that joins the planes of the bases.

The height of the prism is the length of an altitude

Vocab

Lateral Area: the sum of the areas of the lateral faces

Surface Area: the sum of the lateral area and the area of the two bases

FInding Surface Area of a Prism

Using a net

Surface Area = Lateral Area + Area of the Bases

Lateral and Surface Area of Prisms Formulas

The lateral area of a right prism is the product of the perimeter of the base and the height.

L.A. = ph

The surface area of a right prism is the sum of the lateral area and the area of the two bases.

S.A. = L.A. + 2B

Using Formulas

Use the formulas to find the lateral area and surface area of the prism

Cylinders

A cylinder has two parallel circular bases.

The height of a cylinder is a perpendicular segment that joins the plans of the bases.

Lateral and Surface Area of Cylinders

Finding Surface Area of a Cylinder

The radius of the base of a cylinder is 4 in and its height is 6 in. Find the surface area of the cylinder.