Foundations of Math 10 - UNIT 1 Date __ W_' _NOTES 2.1 - Units of Area and Volume

In Chapter 2, we will look at 3-D objects and understand surface areaand volume.

Goals are to solve these problems that:- involve units of area and volume (SI and Imperial units)- involve SAand volumes of spheres, right cones, right cylinders,

right rectangular prisms, and right rectangular pyramids.- Involve square roots, cube roots of numbers

Review of Area:

- Your data pages provide you with the formulae for areas ofdifferent geometric figures (rectangle, triangle, circle). r(t' ~

- Your data pages also provide the formulae for surface areas ofgeometric solids. p~ .~

- The units of area are squared (ex: 25 cm-)

Area ofa square: Area of a rectangle:

\ r ,-\ i

~IIiII

Area of a circle:1-A~If,

2-

A =IT(3) 2-1~'l\ l q") ~ R~,3 rn

Note: Use the 11button on your calculator, NOTthe rounded 3.14.

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Foundations of Math 10 - UNIT 1 Date. _

Determine the area of a rectangle that is 1.7 m by 2.5 m, in squarecentimeters:

Co(\\)ex+ ~ ano 1.0 +0 CJV'L

Q'>- ~ = ~ \ 5 yn '" \ tM = [LSD eMa...smOl 0 \ rf\'\'J~ t<lm ~ \ Ct}:' = l1D eM

o .o t VY1

Determine the area of a rectangle that is 50 mm by 25 mm, in square

metres. 50 mW'\ C)·('w'.exl mrrl ~ n'\ :L~Jxmm

Determine the area of a rectangle that is 10cm by 100cm, in square feet:

to (7((\ Co nver-b em -7 ·ft 1· 1. ~ m ~ Ll~-L \ ·tt -==. 0 \3()f~ ~

100 Cw-. I W -=- \ 0 C"J v: \ ~ 'f- \f.{- 0 ~ ~."' r: ~ ~ -=- ... ~ ~~ . t100 Cr \ 0 \ '004-9 t¥<

~ z, \ 00 C)<\ y- \ vY\ ~ Jlt ~3,? ~0 ~ ttIDO to 0 ' ~D 4-901

50 mJf\ ~In:L /. =- D· 05 JY)I looD mpn

t(5mrA ~ I n1=L ~ O. 0 ~S hiL ODO f!l'rr1

/

A ~1'\0= [O'3~Xl?)(!3.~~b~)rA ~ \. 01 \0 ~t-l- 12

Foundations of Math 10 - UNIT 1 Date. _

An object has an area of 0.62 m-. What is the area in squarecentimeters?

\N e. know -.\hlA+trfl ~ t 0Q emJ 2-

&.. (\mY"= (\DO on) 2-

\011.-= lOlooocm ~

VJ~ W(}tf)~ tv :L-ev('\ ve ( +- rt\'~ C(Y\

Review of Volume:

- The units of volume are eubed (ex: 42 crn-)- Your data pages provide formulae for the volume of various

geometric solids. {j3

Example: A moving truck has length of 3.5 m, a width of 2.3 m, and aheight of 2.2 m. What is the volume of the truck to the nearest cubicfoot? :5\oE:· ~ l\-6~'. <: _-.......-~----..,...--.~...---....-

K-t:t+ Ct ~ (,\ \ (A 0(

r(~SrY\

Foundations of Math 10 - UNIT 1 Date _Af: I)) \-t l{\e4-e& ,"" -SQ~6 ?roC($ S o.s \ Ct&t GKCtmp\c.·

Calculate the volume of a rectangular prism w. i~rmenSions 1ft by 3ftby Sft in cubic metres: 6\..t l'

I\~[// /~ --7"3++ '

Lorw't-\"+ ~Ctc~ n1-(ttsu (-e. rn-en-\ ~ me-\{e ~

\f+ == 0, 301f-7? rn .

3 t-t ::.-.3 (D,3041 Yl\') - O.q I 4-ttm

5 f t :::5 Co, '6o'{~ m') =- ) v 52 L\ m

~ ~ lave (A 0+ DO~)~ h.:: (~~w )~h

~ (0, ~o'-t~ ) (0\ L1\ Li'4)( I.~z,~)= O.4-/JJ-\l5'Zb~\ .. m?>

\/ =10.'-[1. m"'l

Assignment: Do questions in text pg. 62 - 64 #1-11

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