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.
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