/~ Math 10

WORKSHEET 2.1

Part 1 - Finding Area (in SI units or imperial units)

On page 2 of your data booklet, you have the formulae for area (rectangle, triangle, circle)

1. Find the area of this rectangle. (1 .• WFormula for Area is: __ Jl _

W;.. 7cm

~ ~ 14cm

(-\ - J~u)- (\ L-\ tVh ') ( t- Cm)

The area is -------

2. Find the area of this rectangle.Formula for Area is: _-=J==--.._W _

3m

R- ,1 ~1JJ=- (5 rn)( 3 n'l )

lS m~Sm The area is --------

G1.

Formula for ,~,reais: A- = '1't r3. Find the area of this circle.

f1 =- ft (2-~n r s ,'n) 2- 'ft9

The area is ~ 5 . ?1- ,n 2...

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2-The formula for area is A::.. 11rThe radius is :3 1(\

4.Find the area of this circle.

cA \ am-t-\-tr -:..~ \ (\

(-= ~ ::: 3 \(\CA

The area is .;) 5 . d1-.2-If\

5. Find the area of this triangle. Formula for Area is: -----:;,-L---~-b·.h/{L.7

1

1

3cm 1\11

1

Il

The base = ~,-=-<-_cmThe height = 3 em

fi 7;. b ~ h~

4- c: m ;. 3 Crrl

~

'0 ~ 4 em

The area is -------

2-bcm12 ~h'b-

6. Find the area of this triangle.Formula for Area is: -----"="-----

The base = 5. 2>The height = :3). 5

( S~.~\(\)( 3\S .-11J~

3.5 in '; ~ b

IIl

'2-

\n

b- 5.3 in

The area is ----'--------

.- '2-\(\

2

7. A rectangular mural has a length of 5m and a width of 7m. Draw a diagram andsolve for area.

A - l ..u,)

= (5nt) ( 1rn J Your diagram:

Area = --------35 II:

~ > 5f'f"

8. A side of moving truck has an area of 24 m2. The width of the truck is 3m. Draw adiagram and find the length of the truck in metres.

The formula for area is _8- -.::1. .. 'W Your diagram:

~L\:m1.. -= J '(..3m;). t.\ ~ J.

3 [-t - 'isffilOn page 3 of your data booklet, you have the formulae for volume (of various objects).

Solve for 'I' (length):

Part 2 - Volume

1. Find the volume of this rectangular prism.

The base is a 5 u. <A (' ~So, the area of the base is:Formula for volume is:-~--~~~--~--

2-qcm

Soive for voiume:- q c.m2- '/..'d- Lm

::: \~Cm3

The vol ume of the prism is: --'\'--'5"""'--=L::...l.tD-=---_3 _

3

2. Find the volume of this rectangular prism. ~Ie ~lin.~~/ I' /-;

/ / " !

<--I'; -- Ih in ~ '",I I1. !

-:.4 in.

The base is a f e l \- CH\0 \ t-. . (I . "\ ( ) '::;1' 2-So, the area ofthe base i~: Q ~ ..Q.··W - '-~ ;"} l 1i(\ ~2 0 \ (1Formula for volume is: \1'-:: J ..~ ..KSolve for volume: \f =- 1.. w " h or (a.( e 0 0 ~ bas z) x h

- (~"5 \'n2-))( 5 I{\

The vol ume of the prism is: __ .....:\~i-\:----=--O=----=-I.!.-.(\_3 _

3. Find the volume of this object:

, \'i'...r-----::,

_so···}:-·l.n

. /'-Sin .

The base is a .51-u.. 0.. (G. . '." ( . )_So, the area of the base is: ex =- 1.-w =- lS \(l) 5 \(\Formula for volume is:~ -=- J: . \,0 .• h..

~~ - l~5 \n~)( 5-\"f'\)- \~S \(\6

\~S \(\3

2.In

Solve for volume:

The volume of the prism is: --~~~~~---

4

4. A large box has a rectangular base with a width of 1.5 m and a length of 2 m. Theheight of the box is 1 m. Draw a diagram of the box, showing the dimensions, thensolve for volume in cubic metres.

\] "= lcx.'reo 0 ~ DuS-(),. h Your diagram:

The formula for volume is ~:::. .1. '\U ~h Cf' 71Area of the base is l.w '" (1- )(\.5) h< IrI\ 1:==,,--:~-,--~ l-~

:=: 3 Tn'l- <-- "r ~ -= \.$ r(\Solve for volume:

~ '=- (ox~a Ot bu~~) 1-h3m2 'f.. \('(\

3m3Volume is ---='-----

5. A rectangular prism has the following dimensions: w = 1.5 mm, 1= 3.5 mm, and h =2.4 mm. Draw a diagram of the box, showing the dimensions, then solve for volumein cubic mm.

Your diagram:

The formula for volume is ~-.:: J. . W • \\ tArea of the base is J. vJ -:(3 .s)(1-5) h~a.~ /"- - - ~

L. (Y\('(\ / ~~ S I ~ S mrn c. ,__..' u)"::- \ .'>Solve for volume: I:- ~ (,{,({\

( . L~3" S rnfY'\] = l 0.( ea. o ~ 'oa.~e) l'. h=- (S~~5)( Q.£-t)

Volume is \ Q. . ~ fY"o m ?>

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Part 3 - Converting Between Si and Imperial Units (making a planl

When converting between systems of units, we need to make a plan and choose which"conversions" to use!

Write your planThen write the conversion you will need under each arrow in your plan

Example: Convert from inches to m

inPlan: cm m

Conversions: 1 inch = 2,54em, 100em = 1m

Notice, I could have taken this route also:

Example: Convert from inches to m

in ydPlan: m

Conversions: 36 inches = 1 yd, 1 yd = 0,9144m

1. Convert from feet to cm:

Plan: .\'t ') \'(\\ ~ ~ e .3D~~ rf\ J

._--"')-'7 C yY\

\ m -=- \ oo cyY\Conversions:

2. Convert from mm to inches:

Plan: xY\'fl'\ .~ em\C){'(\~'"- \<-m )

----')~,(,\

Q. SL-\- em=- \ \(\Conversions:

3. Convert from yards to km:

Plan: ''1 ~ 7 f'C\

\jo.--=-O,q\~,-\«\ )----7 \<-. rY\

\ ()o(.J n"::. \ 'K 'fr\Conversions:

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