11.2 and 11.4: Prisms and Cylinders

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Presentation transcript:

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 bases lateral faces Lateral Area – Sum of the areas of the lateral faces

Surface Area of Prisms bases lateral faces Regular Pentagon 12 in.

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. 4 in. 12 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.

Surface Area of Cylinders Find the surface area of the following cylinder in terms of π. 4 in. 6 in.

Volume of Prisms 6 cm 12 cm 4 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.

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

Practice Find volume AND surface area. If necessary, round answers to the nearest tenth. Find volume AND surface area. Leave answers in terms of Pi.

11.2 and 11.4: Prisms and Cylinders Homework: p.612 #5-11 p.627 #4-6, 8-10, 15 THT: 1-20