No Warmup: Grab the following: 3 index cards 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 cylinder Rectangular 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 a diameter. 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