Quarter 4 Test 1LI. Customary Units

LII. Perimeter and Circumference

LIII. Area

LIV. Area of Circles

LV. Volume of Rectangular Prisms

Remember to study vocabulary:perimeter, chord, diameter, radius, etc.

Memorize the formulas!

Memorize the formulas!

AFLAC(This has nothing to do

with the test; I just thought it would be funny!)

A tabletop shaped like a triangle has a base of 40 cm and a height of 34 cm. Find the area. (The picture is not drawn to scale.)

34cm

40cm

A=(b)h 2

A=(40)34 2

A= 680 cm2

Customary Units of Measure1) 3ft=_____ in.2) 24yd=_____ft3) 10,560ft=______m

i4) 4lb 15oz=______oz5) 7pt=________c6) 4.5T=_______lb7) 4 3/4lb=_______oz

1) 36in2) 72ft3) 2mi4) 79oz5) 14c6) 9000lb7) 76

6.2 in.

4.9 in. 5.1 in.

A=(b)h A=(6.2)4.9 A=30.38in.2

Find the area.

Compare. Write <,> or =.

1) 52ft_______18yd2) 5gal 2qt_______ 24qt3) 72in_______6ft4) 256oz______15lb 4oz5) 36lb________524oz6) 12T 850lb______25,000lb7) 100qt______25gal

1) <2) <3) =4) >5) >6) <7) =

How much fencing is needed to enclose a circular garden whose radius is 4.5yards?

4.5yd

C=πd

C=(3.14)9

C=28.26yd

Find the circumference of a bicycle wheel if one spoke from the center measures 24cm.

24

C=πd

C=(3.14)48

C=150.72 cm

Find the area of the figure. (Round your answer to the nearest whole number.)

5m

3.5m

A=lwA=5(3.5)A=17.5 m2

A=πr2

A=π(1.752 )A=9.61625 m2

A=17.5 m2+9.61625 m2 = 27.11625 m2= 27 m2

Find the volume of the rectangular prism.

11cm

16cm

6cm

V=lwh

V=16(6)11

V=1,056cm3

Find the area of the figure.

10cm

A=lw OR A=s2

A=10(10) A=102

A=100cm2 A=100cm2

10cm

A=πr2

A=3.14(52)

A=78.5cm2

A=78.5(2)(Multiply by 2 because there are two circles.)

A=157cm2

A=157 cm2+100 cm2=257cm2

Find the perimeter.

18.7

12.3

4

7.5

13.5

7

10

22.5

11

5.5

P= 18.7+12.3+13.5+7.5+4+7+10+22.5+5.5+11P= 112units

Find the area of the triangle.

13cm

16cm

22cm

A=1/2 bh

A=.5(16)13

A=104cm2

A garden measures 40 meters wide and 72 meters long is to be enclosed by a fence. At $8.90 per meter, what will the fencing cost?

P=72+72+40+40

P=224meters

224X $8.90$1993.60

The circumference of the circle is 78.5m. Find the area.

C=πd

78.5 = 3.14d3.14 3.14d = 25 m

A=πr2

A=3.14(12.52)

A=490.625m2

Challenge: (A question like this could be an extra credit question.)

A bulletin board is shaped like a trapezoid. If the bases are 45cm and 65cm and the height is 40cm, what is the area?

A=(b1+b2)h

2

A=(45+65)40

2

A=2,200cm2

Super Duper Challenge:(Don’t worry this type of problem is not on the test.)The area of a trapezoid is 48in2. The height is 4in. The measure of b2 is 3 times greater than measure of b1. Find the measure of each base.

A=.5(b1+b2)h48=.5(x+3x)448=2(x + 3x)48=2x +6x48=8x8 8h=6 in.

b1=6 in.b2=18 in.