11.2 and 11.4: Prisms and Cylinders. Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that.

11.2 and 11.4: 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.

12 in.

RegularPentagon

Surface Area of Prisms

THEOREM 11.1 – Surface Area of PrismThe 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.12 in

.

RegularPentagon

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 CylinderThe 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.2rh 2r2

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

12 cm

THEOREM 11.6 – Volume of PrismThe 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 CylinderThe 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.

11.2 and 11.4: Prisms and Cylinders

Homework:

p.612 #5-11

p.627 #4-6, 8-10, 15