Math 10 Name

2.1 Worksheet #2

Volume: Converting Units

Part 1- Calculate Volume (Converting Units)

1. A box of a truck has the following measurements: width = 4ft, length = 8ft andheight = 17 in. What is the volume of the truck box in cubic centimetres?

~Convert the dimensions. Your plan:

Volume = ....Q .• w ..C ~tt-\. ?r\sn\ ")

w~ 1-b -7'-

~ \-r·~-:;\-\ ~ \(\ ~

c \Y\ 7 I { t- :: O.3~

C tY\ ~ \ 'fY\ ~ \DDon

( \Y)3 \;o > ~.SA (Ill

\l ~ (~~~ l ~ ern ') 1\ ( \ ~ \. '1 [~') y., ( ti 3 I ;) l ~ )t" = \?-. '038-=+ 0 Cr0 ?,

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2. Find the volume of the rectangular prism below in cubic centimetres.Convert the dimensions. Your plan:

h-- Bin. .',

,\~ -7 em

\ \(\ - ~I 5"4 em

~~,o2 CyY\

~ 0.. ~6 em\ 'd-- 1- crr-.

\I -- J.. w ~"-' 3=- ( Q.~. ~~ )( '2>3. Od.) 1'- (\d..1- J = q5 <6 (, l L-\- CrY"'3. Find the volume of the rectangular prism below in cubic inches.

Convert the dimensions. Your plan:

, \ 'fi-a.SL\ (/f.n\\"- / \~8 ~3·SL\ C,iY' -

Volume = J 0 uJ..h-,

\J =- l\\\t) \(\')~l\\\1\1\') ~ (a fA-'a ..:1 £>-"1 " ~ ')-= \ ...oq\o ''f\ 34. Sketch a rectangular pri~Jll with the dimensions: width = 6 ft, length = 4 ft, and

height;= 3 ft. F d the v 'Iume in cubic meters. \ tt-=: 0, '3b"\. ~ m

OJ '=- 6.:V+ 'J.. 0 :oo~~.,...r(\ = \. '0 Jq f'()

If(

! ~Lt,r( y.. o· '6 o\{~ n'\ _ = \. ~ \ ~ tl\" t:pi-

\\.~3ff 'f. o.?> 0 lf~ rYl ~ 0 ·q\L\ rn2 \{'f

'~ ~ (\, £, 'l'\ rr-, ') 'y. ( \. ~\ q (Y\ ') )( l0,q\4 rn ')\f -:::. Q.D,-\ m3

-:

-:

/

em---=:> \ r-.d: ..5L\ t.rn ~ \ ) ()

"~J(~~ \,'(\_/. d- . ()~ c)"f\

=- ~ . 0 "\ S'1 , (l

5. Alana has a new bedroom with the following dimensions:

4:::- Go'{\-Jl (-\- ~.++ a.nd Cldd~ \\ ·ttw= 11' 3" \ \ -r+ ) 3.~.-\

1= 10' 6" r,-h = 8' 6' -, D t--\-\'b i (\

- ~ f--\. \ 6 ~(\What is the volume of her bedroom in c,~ub~ic:!-.!.e~?,----__ ----,r, fS\ cCH'~.e{' \ n ~ f -l- \ \.\ -L = \ d-. " ('\ 1

_ J

3 \(\ j... \ -\ -\- _ O.?- 5 ft .o.~~\d-~(\

b,() y.. lft ~O.S.fb\ d-. ,'"

~w -= \ \ l' \ -\-0 \~S -\,-l = \ \.~S ~t....l::. \0 \-\- ~ o. S ft ~ to. s -.fth -:: ~ ~1- -\ 0 I S .ft ~, 't>. sf

" -d. ·vJ .h = ( \\.? S -I'-n,,(\0. 5 f+ ) x l ~. S~+) ""-~O() 4. \ f?lPart 2 - Converting squared and cubed units (area & volume)

6. The area of a rug is 3.5 m2. What is the area of the rug in square centimetres?

P\c\.(\ '. 'f(\ ~ ~ Gm ~

U>r'l'Ju5io0 (\1'<\)2-_ l\OO cffi)2... 2-

\ r0 '2-- '":-- \ 0 000 c.\'Y\

\II) 0.. (\-\- C rf\2-- -:::. 3.~ ~ '/...\0 000 c.-tn ~ = \35 000 c;;\ ~ ,

7. A rectangular pool has an area of 0.78 m2. What is the area of the pool in squarefeet?

?\Cl0 ::

Go,(\\Je rs; 0 n "

\(\2- ~ -Ft 2-

( \+ t-)~~.'l>D '\ -'i? 'm)2-\~b J. ~, O. Oq'J- '\ 1'<\ 1-

·~~ ~ \ LtO in

8. The rectangular prism shown below has a volume of 140 in3. Convert thisvolume to cubic feet (ft3). Convert the volume directly (don't convert thedimensions!) .!> (' L 3\>\a~: \ (\ -?- ~

CO,,",\l~(S.;00 In..;(\)3= (,-(,toy\11-'8 \03 'z: \.\-l3

.. ~

-# ft:!, = \LtD ~ X \+-1-"3. _= \().l'l'il \ tr\1'13 \;<i (L---_-

( /15 in.

//1-------,/1-+; .

II 1,7In.l--~_V

4 in.

9. A box has a volume of 125 em". What is the volume of the box in cubic inches?

?\D..n:

( ~ . S'-\ C 'fY'\)3 ~

em '?> ---? ,(\ '3 .

(\i(\)3

\f ../ '\. '3'.J =- \~5 ¥ X __ '_(\_

\lo,6~l- ~

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