11.4: Surface Area: Prisms and Cylinders

Prisms

Prism – A 3-dimensional figure with two congruent, parallel faces, called bases.

Lateral Faces – Faces that are not bases

Surface Area of Prisms

Lateral Area – Sum of the areas of the lateral faces

bases

lateral faces

Surface Area of Prisms

bases

lateral faces

4 in.

Regular Pentagon

Surface Area of Prisms

THEOREM 11.1 – Surface Area of Prism The surface area of a prism is the sum of the lateral area and the area of the two bases.

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

4 in.

Regular Pentagon

Surface Area of Prisms

Find the surface area of the following prism.

Cylinders

Cylinder – A 3-dimensional figure with two congruent, parallel, circular bases.

Surface Area of Cylinder

THEOREM 11.2 – Surface Area of Cylinder The surface area of a cylinder is the sum of the lateral area and the area of the two bases.

S.A. = L.A.+ 2B or S.A. = 2!rh + 2!r2

Surface Area of Cylinders

Find the surface area of the following cylinder in terms of π. 4 in.

6 in.

Volume of Prisms

4 cm

6 cm

THEOREM 11.6 – Volume of Prism The volume of a prism is the product of the area of a base and the height of the prism.

V = Bh

Volume of Cylinders

THEOREM 11.7 – Volume of Cylinder The volume of a cylinder is the product of the area of the base and the height of the cylinder.

V = Bh or V = !r2h

Find the volume of the following cylinder in terms of π.