Chapter 11Area, Volume and Capacity: Practice Test

Chapter 11Area, volume and capacity: Practice Test

Multiple-choice questions

1The most appropriate unit for measuring the area of a city is:

Acm2

Cm2

Dkm2

Emm2

2The most appropriate unit for measuring the capacity of a public swimming pool is:

BkL

CmL

Dcm3

Emm3

3750 mL is equal to:

A0.0075 kL

B0.75 kL

C0.075 L

D7.5 L

45 L is equal to:

A50 cm3

B0.5 m3

C5000 cm3

D500 cm3

E5000mm3

5The side length of a square of area 25 cm2 is:

A250 cm2

B625 cm2

C2.5cm

D5 m

E5cm

6If a rectangle has a length of 16 m and a width of 3 m, then the area is:

A19 m2

B48 cm2

C480 cm2

D48 m2

E163 m2

7The area of a triangle of base length 9 cm and height 16 cm is:

A25 cm2

B50 cm

C144 cm

D144 cm2

E72cm2

8The volume of theprism shown is:
A32 cm2
B192 cm2
C64 cm3
D192 cm3
E384cm3 /

95.4 L –250 mL is equal to:

A244.6 L

B51500 mL

C5.15 L

D3.3 L

E5 L

10A 1 L bottle of cordial can be used to make 50 glasses of drink. The amount of cordial needed for each glass of drink is:

A2 mL

B20 mL

C200mL

D0.1 L

E0.01 L

Short-answer questions

1Convert each of the following to the units shown in the brackets:

a98 L (mL)

b2850 mL (L)

c12 kL (L)

d150 mL (cm3)

2Find the area of this rectangle:

3Find the area of each of the following shapes:

a
/ b

4Find the shaded area in each case:

a
/ b

5Find the volume of this rectangular prism:

6The area of a rectangular LCD computer monitor is 952 cm2. If the monitor’s width is 28cm, what is its length?

7A 12 m  10 m rectangular pool is surrounded by a concrete path 1 m wide. Find the area of the path.

8Andrew bought a rectangular fish tank with dimensions 2 m  3 m  1.5 m.

aFind the volume of the tank.

bIf he has 15 fish, each of which needs a volume of 0.5 m3 to survive, will they survive in the tank?

Extended-response questions

A rectangular rainwater tank of 1000 cm  50 cm 40 cm is to be filled with water. If it takes

5 minutes for 500 L of water to flow into the tank:

aiHow much water does the tank hold in cm3?

iiHow much water does the tank hold in L?

bHow long will it take to fill the tank?

cHow long will it take to half fill the tank?

Answers to Chapter 11 Test A

Answers to multiple-choice questions

10B

Answers to short-answer questions

1a98 000 mL

b2.85 L

c12 000 L

d150 cm3

216 square units

3aA= 4.6  1.2

= 5.52 m2

bA= (9  5)

= 22.5 m2

4aA= (25  15)+(8  5)

= 415 cm2

bA= (52  40) – (32  20)

= 1760 m2

5V= 4.5  1.5  2.2(change 22 mmto 2.2 cm)

= 14.85 cm3

6A = lw, where w= 28 cm

952 = 28 l

so l = 34 cm

A= (14  12) – (12  10)

= 48 m2

8aV= 2  3  1.5

= 9 m3

bVolume required by 15 fish

= 15  0.5

= 7.5 m3

Volume of tank = 9 m3 so 15 fish will survive.

Answers to extended-response questions

aiV= 1000  50  40

= 2 000 000 cm3

iiV= 2 000 000 ÷ 1000

= 2000 L

bTime taken to fill=

= 20 minutes

cTime taken to half-fill = 10 minutes