No Warmup: Grab the following:

• 3 index cards• 11.2-11.4 examples sheet• 3-d figure sheet• Roll of tape (one per pair)

*Cut out mini 3-d shapes

Chp. 11: Prisms, pyramids, cones

Prisms/Cylinders/Oblique Cylinders

*A prism is a “stack” of a shape* A cylinder is a “circular” prism

cylinderRectangular prism

octagonal prism

Volume= B(h)= (area base)(height)Lateral Area (aka area of the SIDES)= p(h)=(base perimeter)(height)Surface Area= L.A.+2B=lateral area +2(area base)

Top of card:

Oblique cylinder/prism

V=B(h)*same volume as

regular cylinder/prism*

Examples: Find the surface area, lateral area, and volume of each prism.

a.) b.) 6 in

10 in

Find the volume of the figure below.

Given AX is adiameter.11 in

4 in

5 in

A

X

Regular Pyramids

*regular pyramid: pyramid whose base is a regular polygon.

Square pyramid Hexagonal pyramid

*Slant height is abbreviate as

Volume=1 B(h) 3

Surface Area=L.A.+B

L.A.= 1 p 2

Cone

• A cone is 1/3 of a cylinder in volume (assuming they have the same base area and height)

Volume= 1 (B)(h) 3

Lateral Area= π(r)

Surface Area=L.A. + B

Example: Find the lateral and surface area of the figures below.

12 ft

10 ft

*square pyramid

Find the missing variable in each figure.

Volume=10,240 sq. in. (square pyramid)

x 10 in

Volume=800π

L