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**11.2 and 11.4: Prisms and Cylinders**

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Prisms Prism – A 3-dimensional figure with two congruent, parallel faces, called bases. Lateral Faces – Faces that are not bases

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**Surface Area of Prisms bases lateral faces**

Lateral Area – Sum of the areas of the lateral faces

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

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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

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Surface Area of Prisms Find the surface area of the following prism.

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

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**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.

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**Surface Area of Cylinders**

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

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**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.

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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.

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**11.2 and 11.4: Prisms and Cylinders**

Homework: p.612 #5-11 p.627 #4-6, 8-10, 15

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