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Surface Area and Volume SOL 8.7 C. Washington & K. Poprik

Surface Area and Volume

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Surface Area and Volume. SOL 8.7 C. Washington & K. Poprik. What is a rectangular prism?. TV. Locker. Gift Box. Cereal Box. Height. Width. Length. What is a cylinder?. Pringles Container. Toilet Paper Roll. Soup Can. Radius. Made up of 2 circles & one rectangle. Height. - PowerPoint PPT Presentation

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Page 1: Surface Area and Volume

Surface Area and VolumeSOL 8.7

C. Washington & K. Poprik

Page 2: Surface Area and Volume

What is a rectangular prism?Cereal

BoxGift Box TV Locker

Height

Length

Width

Page 3: Surface Area and Volume

What is a cylinder?

Soup CanToilet Paper Roll

PringlesContaine

r

Height

RadiusMade up of 2

circles & one

rectangle

Page 4: Surface Area and Volume

Surface AreaThe sum of all the

areas of all the shapes that make up an object

The label

on a can

The wrapping paper on a present

The amount of material needed to make a can

or box

units2

Page 5: Surface Area and Volume

Surface Area

L W

2

2lw

Page 6: Surface Area and Volume

Surface Area

L H

2

2lh

Page 7: Surface Area and Volume

Surface Area

W H

2

2wh

Page 8: Surface Area and Volume

Surface Area2lw+ 2lh + 2wh

TO SOLVE:

1.Plug in all #s

2.Multiply3.Add

Remember to square the units on your answer!

Page 9: Surface Area and Volume

Let’s Try One Together

1.Plug in all #s

2.Multiply3.Add

2lw 2lh 2wh

2155 21510 2510

150 300 100

550cm2

Page 10: Surface Area and Volume

Try One Alone

1.Plug in all #s

2.Multiply3.Add

2lw 2lh 2wh

282 2815 2215

32 240 60

332in2

15in

2in8in

Page 11: Surface Area and Volume

Surface Area

r2

2

2r2

Page 12: Surface Area and Volume

Surface Area

heightLength

(circumference ofthe circle

)2r

2rh

Page 13: Surface Area and Volume

Surface Area+

TO SOLVE:

1.Plug in all #s

2.Multiply3.Add

Remember to square the units on your answer!

2rh 2r2

3.14

Page 14: Surface Area and Volume

Let’s Try One Together

1. Plug in all #s2. Cancel out exponent then,

Multiply3. Add

2rh 2r2

23.14 822 23.14 82

1105.28 401.92

1507.2cm2

Page 15: Surface Area and Volume

Try One Alone

1. Plug in all #s2. Cancel out exponent then,

Multiply3. Add

2rh 2r2

23.14 520 23.14 52

628 157

785in2

5in

20in

Page 16: Surface Area and Volume

Try It with a Partner

Complete #s: 8, 10, 13, & 14 on the practice sheet on the back of your

notes!

Page 17: Surface Area and Volume

VolumeThe number of cubic units needed to fill

the space occupied by a solid.

The amount

of soup

that could

fit in a

can

The amount of Pringles that

can fit in the container

The amount of cereal that can

fit in the cereal box

units3

Page 18: Surface Area and Volume

Volume

lwh

TO SOLVE:

1.Plug in all #s

2.Multiply Straight Across

Remember to cube the units on your answer!

Page 19: Surface Area and Volume

Let’s Try One Together

1.Plug in all #s

2.Multiply

lwh

15510

750cm3

Page 20: Surface Area and Volume

Volume

r2h

TO SOLVE:

3.14

1.Plug in all #s

2.Get rid of exponent

3.Multiply Straight Across

Remember to cube the units on

your answer!

Page 21: Surface Area and Volume

Let’s Try One Together

1. Plug in all #s2. Cancel out

exponent 3. Multiply

r2h

3.14 82 22

3.14 64 22

4421.12cm3