Solid Prisms And Cylinders

Solid Prisms And Cylinders - Transcript

SOLIDS SOLIDS
PRISMS AND PRISMS CYLINDERS CYLINDERS
spi3 2 K 4 3 A
JIM SMITH JCHS

REVIEW AREA AND PERIMETER REVIEW

PERIMETER OF ANY POLYGON ADD ALL SIDES ADD AREA OF RECTANGLE lw
We ll call circumference perimeter We ll

PERIMETER OF CIRCLE 2 r PERIMETER OF AREA OF CIRCLE r AREA

FIND THE PERIMETER AND AREA FIND 4 6

P add sides add P 4 6 4 6 P 20 20 A lw A 6 4 A 24

FIND THE PERIMETER AND AREA FIND
Remember call circumference perimeter

5

P 2 r P 2 5 P 10

A r A 5 A 25

We ll use B for base area We ll

h w l w l w

h

l

Perimeter of base

LATERAL AREA
SIDES or LABEL SIDES

LA Ph

Top B Top h l w Lateral Area LA Lateral LA Bottom B Bottom

INCLUDES TOP BOTTOM INCLUDES SOMETIMES CALLED TOTAL AREA

SURFACE AREA

SA LA 2B

BASE AREA B TELLS TELLS THE NUMBER OF CUBES NEEDED TO FILL THE BASE THE HEIGHT h TELLS THE THE NUMBER OF LAYERS OF CUBES NUMBER

VOLUME How Much It Will Hold

VOL Bh

LATERAL AREA SIDES OR LABEL SIDES LATERAL

LA Ph
SURFACE AREA INCLUDES TOP and INCLUDES
BOTTOM SOMETIMES CALLED TOTAL AREA TOTAL

SA LA 2B
VOLUME HOW MUCH IT WILL HOLD HOW

VOL Bh

PRISM find P and B first
l 4 w 3 h 7
7 3

P 4 3 4 3 14 4 3 4 3 B 4 x 3 12 12
4

LA Ph 14 x 7 98 sq units sq SA LA 2B 98 24 122 sq units sq Vol Bh 12 x 7 84 cubic units cubic

r 3 h 6 6 P 2 r 6 B r 9 LA Ph 6 x 6 36 sq units sq
SA LA 2B 36 18 54 sq uN sq

CYLINDER

3

VOL Bh 9 x 6 54 cu units cu VOL

CONES CONES
AND

PYRIMIDS

PARTS OF A PYRIMID PARTS
SQUARE BASE

HEIGHT h SLANT HEIGHT l SLANT

BASE EDGE BASE EDGE

PARTS OF CONES PARTS
HEIGHT h SLANT HEIGHT l SLANT r

LA P l SA LA B SA VOL B h VOL

FIND THE PERIMETER FIND AND AREA FIRST AND
Base edge h sl Base 12 8 10 10 P 12 12 12 12 48 12 B 12 x 12 144

12

LA P l x 48 x 10 240 sq un LA 240 SA LA B 240 144 384 sq un SA 384 VOL B x h 144 x 8 384 cu un 384

r 3

h 4

sl sl 5

P 2 r 2 3 6 B r 3 9
3

LA P l x 6 x 5 15 sq un sq LA SA LA B 15 9 24 sq un sq SA VOL B h x 9 x 4 12 cu
un un