prismspyramids have 2 bases named by the shape of the bases have 1 base lateral faces meet at one...

Prisms Pyramids• Have 2 bases

• Named by the shape of the bases

• Have 1 base

• Lateral faces meet at one point

• Named by the shape of the base

Pentagonal Prism

Hexagonal Pyramid

SMSD COLLEGE WORD OF THE DAY

WEEK OF: Vocabulary and DEFINITIONS:

Monday 3/3/2014 100 Munificent - (adj.) very generous; giving

Tuesday 3/4/2014 101 Myopic - (adj.) lacking foresight; narrow-minded

Wednesday 3/5/2014 102 Myriad - (noun) a large indefinite number

Thursday 3/6/2014 103 Nefarious - (adj.) extremely wicked

Friday 3/7/2014 104 Negligible - (adj.) so small as to be meaningless; insignificant; not worth considering

Monday 3/17/2014 105 Nexus - (noun) a connected series or group; the means of connection between things linked in series

Tuesday 3/18/2014 106 Nomad - (noun) noun an individual who roams about without purpose or residence

Wednesday 3/19/2014 107 Nonchalant - (adj.) marked by blithe unconcern

Thursday 3/20/2014 108 Nostalgia - (noun) longing for something past; a longing, retrospective view

Friday 3/21/2014 109 Nullify - (verb) make ineffective by counterbalancing the effect of; show to be invalid; declare invalid

Monday 3/24/2014 110 Obdurate - (adj.) showing unfeeling resistance to tender feelings; stubbornly persistent in wrongdoing

Tuesday 3/25/2014 111 Oblivion - (noun) the state of being disregarded or forgotten; total forgetfulness

Wednesday 3/26/2014 112 Obscure - (verb) make difficult to perceive by sight

Thursday 3/27/2014 113 Obtuse - (adj.) lacking sharpness or intellectual ability

Friday 3/28/2014 114 Odyssey - (noun) a long wandering and eventful journey; a Greek epic poem (attributed to Homer) describing the journey of Odysseus after the fall of Troy

Monday 3/31/2014 115 Oscillate - (verb) move or swing from side to side regularly; be undecided about something; waver between conflicting positions or courses of action

BASE

BASE

HEIGHT

Right Prism Oblique Prism

height

Base

Base

Height

Lateral Surface

Greetings College Bound Students!!! March 6, 2014

• There are various routes a person can take to reach a destination.

• Think about some of the different routes you take to reach the same destination.

• On a separate sheet of paper, WRITE about how you use your math skills to decide which route to take to reach your destination.  Include specific examples of how you choose which tools to use.

CWD: Munificent - (adj.) very generous; givingSTAAR WU:

A 7-inch candle burns at a rate of 2 inches an hour. Which equation represents the relationship between y, the height of the candle in inches, and x, the number of hours the candle burns?

A y = 2x + 7

B y = 7 – 2x

C y = 2 – 7x

D y = 7x + 2

Greetings College Bound Students!!! March 6`, 2014

CWD: Myriad - (noun) a large indefinite numberSTAAR WU: A store manager discounted the prices of several items during a sale. The original price and the sale price of each item are shown in the table below.

Based on the data in the table, what would be the sale price of an item that had an original price of $85?

A.$79 B. $64 C. $68 D. $71

Greetings College Bound Students!!! March 5, 2014

Original Price Sale Price

$30 $24

$40 $32

$50 $40

$60 $48

$70 $56

04/19/23 Page 9

Topic: VolumeEQ: How should I find the volume of a 3 dimensional figure?

Volume - the measure of cubic units inside a 3-D figure.

What is the volume of this rectangular prism?

V = BBh

V = l x wl x w x h

V = ____________

04/19/23 Page 10

Practice - Volume and Surface Area

What is the volumevolume of this rectangular prism?

V = BBh

V = l x wl x w x h

V = ________

What is the lateral area?

What is the surface areasurface area?

SA = ______________________________________

Cornell Notes

• Topic: Lateral and Surface Area; Volume

• EQ: How should I find the lateral and surface area of a 3-D shape?

Lateral Area (LA): the sum of the areas of the solid’s lateral surfaces

P = PERIMETER of base (add all sides of the base)

B = area of BASE (use different formulas according to the shape of the base)

h = HEIGHT of the solid

Total Surface Area (SA): the sum of the areas of all of its surfaces

Formulas for PRISMS

LA = PhLateral Area = Perimeter of Base height of prism

SA = Ph + 2BSurface Area = Perimeter of Base height of prism + 2 Area of Base

Station 1: Find the lateral area.(One base is the side that is on the ground.)

2.1 cm

3.6 cm6.8 cm

LA = ____ cm2

Station 2: Find the surface area.

2.1 cm

3.6 cm6.8 cm

SA = _____ cm2

Station 3: Find the lateral area.(One base is the side that is on the ground.)

6 m

8 m

9 mLA = ___

m2

Station 4: Find the surface area.(One base is the side that is on the ground.)

6 m

8 m

9 mSA = ___ m2

Formulas for CylindersLA = 2rh

SA = 2rh + 2r2

Station 5: Find the lateral area. Round to the nearest tenth.

LA 2 rh5 cm

3.8 cm

Station 6: Find the surface area. Round to the nearest tenth.

5 cm

3.8 cmSA = 2rh + 2r2

Surface Area of Pyramids and ConesSection 12.3

Goal –

to find the surface area of a pyramid and the surface area of a cone

Pyramids are classified by the shapes of their bases

Surface Area verses Lateral Area of a Pyramid

The lateral area of a pyramid:

LA = P = Perimeter of the base

l = slant height

The surface area of a pyramid:

SA = B = Area of the base

1

2Pl

1

2Pl B

Example Find the LA and SA of the square pyramid.

12 cm

10 cm10 cm

" "slant height l

12 cm

5 cm

Surface Area verses Lateral Area of a Cone

The lateral area of a cone:

LA = r = radius of the base

l = slant height

The surface area of a cone:

SA =

rl

2rl r

Example Find the LA and SA of the cone if the slant height " = 8 inches,

and r = 5 inches.

l"

" "slant height l

5

8

Students Find the LA and SA of the cone if the height "h" = 16 inches,

and the diameter = 24 inches.

Students Find the LA and SA of the pyramid.

15 h cm

12 cm12 cm

Students

15 l cm

2100 A cm

.

regular pyramid

Find the lateral and surface area