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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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