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Worksheets

Ch 11 Review

Total questions: 87

Worksheet time: 10hrs 56mins

Name
Class
Date
1.
What does "P" stand for in the surface area formulas?
a)
Perimeter
b)
Parallel
c)
Perimeter of the Base
d)
Pi
2.
What is the area of the lateral faces?
a)
56 cm2
b)
80 cm2
c)
136 cm2
d)
96 cm2
3.
What shape is the base?
a)
Rectangle
b)
Triangle
c)
Square
d)
Trapazoid
4.

What is lateral surface area?

a)

The area of all of the sides (including bases or top and bottom).

b)

The area of only the sides (not including the bases or top and bottom).

c)

The perimeter of the base.

d)

The area of the base.

5.

Solve for lateral surface area?

a)

576 in²

b)

1536 in²

c)

48 in²

d)

384 in²

6.

Solve for lateral surface area?

a)

864 in²

b)

832 in²

c)

20,736 in²

d)

2,367 in²

7.

Solve for lateral surface area?

a)

37.5 m²

b)

18.5 m²

c)

101.25 m²

d)

45 m²

8.

Find the lateral surface area of the following shape:

a)

144

b)

96

c)

192

d)

480

9.

Find the lateral surface area of the following shape:

a)

480

b)

2784

c)

1008

d)

240

10.

Find the lateral surface area of the following shape:

a)

148

b)

97

c)

1552

d)

416

11.

Find the lateral surface area of the following shape:

a)

294

b)

42

c)

686

d)

147

12.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
13.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
14.
Is surface area.......
a)
Filling in a 3 dimensional shape 
b)
wrapping the outside of a 3 dimensional shape
15.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
16.

Find the lateral surface area of the following shape:

a)

132

b)

220

c)

64

d)

176

17.
Find the surface area of the triangular prism.
a)
196 ft2
b)
96 ft2
c)
98 ft2
d)
108 ft2
18.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
19.
Find the Total Surface area of the cylinder. 
a)
62.8m
b)
477.28 cm2
c)
 235.5 cm3
d)
942 cm2
20.

Find the total surface area of the cylinder.

Don't forget to divide the diameter by 2 to get the radius.

a)

25.13 square cm

b)

75.40 square cm

c)

50.27 square cm

d)

100.53 square cm

21.
What is the total surface area of the cylinder to the nearest square inch
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
22.

What is the exact total surface area of the cone?

a)

SA=(3π+9π2 )units2SA=\left(3\pi+9\pi\sqrt{2}\ \right)units^2

b)

SA=9π2units2SA=9\pi\sqrt{2}units^2

c)

SA=(9π+27π2)units2SA=\left(9\pi+27\pi\sqrt{2}\right)units^2

d)

SA=(9π+9π2) units2SA=\left(9\pi+9\pi\sqrt{2}\right)\ units^2

23.

What is the lateral area?

a)

449.88 mi2

b)

1704 mi2

c)

650.94 mi2

d)

899.75 mi2

24.
A paper party hat, like the one shown, has a slant height of 6 inches and a height of 5 inches. How many square feet of cardboard would be needed to create this hat?
a)
62.5 in.2
b)
10 in.2
c)
50 in.2
d)
22.5 in.2
25.

Find the surface area of the cone. Leave your answer in terms of pi.

a)

12π m²

b)

16π m²

c)

24π m²

d)

8π m²

26.

Find the surface area

a)

1276.3m2

b)

824.7m2

c)

1649.3m2

d)

3534.3m2

27.

Sketch the solid that can be created from the net. Label the dimensions.

a)
b)
c)
d)
28.

Find the total surface area in terms of  π\pi .  Round to the nearest whole number  \  

a)

A

b)

B

c)

C

d)

D

29.

Find the lateral surface area. Round to the nearest hundredths.

a)

A

b)

B

c)

C

d)

D

30.

Find the total surface area of the composite figure. Write your answer in terms of π.\pi.  

a)

48π in248\pi\ in^2  

b)

42π in242\pi\ in^2  

c)

46π in246\pi\ in^2  

d)

38π in238\pi\ in^2  

31.

Which of the following is  the slant height of the pyramid. CHECK ALL THAT APPLY.

a)

17.720 ft.17.720\ ft.  

b)

314 ft.\sqrt{314\ }ft.  

c)

389 ft.\sqrt{389\ }ft.  

d)

   19.723 ft. 19.723\ ft.\  

e)

512.56ft.5\sqrt{12.56}ft.  

32.

Find the approximate surface area of the pyramid. Round your answer to the nearest thousandths.

a)

SA=423.000 in2SA=423.000\ in^2

b)

SA=297.960 in2SA=297.960\ in^2

c)

SA=329.004 in2SA=329.004\ in^2

d)

SA=329.400 in2SA=329.400\ in^2

33.

Find the exact surface area of the pyramid.

a)

(160+8190) meters2\left(160+8\sqrt{190}\right)\ meters^2

b)

(40+8019) meters2\left(40+80\sqrt{19}\right)\ meters^2

c)

(40+8190)meters2\left(40+8\sqrt{190}\right)meters^2

d)

(160+8019) meters2\left(160+80\sqrt{19}\right)\ meters^2

34.

Find the surface area of the pyramid. No units needed in your answer.

(a)  

35.

What is the SURFACE AREA of this pyramid?    SA=

a)

117 m2117\ m^2

b)

729 m2729\ m^2

c)

243 m2243\ m^2

d)

81 m281\ m^2

36.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Square Pyramid
d)
Square Prism
37.

How do you find the total surface area of a pyramid?

a)

πrl\pi rl  

b)

πrl+πr2\pi rl+\pi r^2  

c)

12Pl\frac{1}{2}Pl

d)

12Pl+B\frac{1}{2}Pl+B

38.

How do you find the lateral surface area of a pyramid?

a)

πrl\pi rl  

b)

πrl+πr2\pi rl+\pi r^2  

c)

12Pl\frac{1}{2}Pl

d)

12Pl+B\frac{1}{2}Pl+B

39.

How do you find the total surface area of a cone?

a)

πrl\pi rl  

b)

πrl+πr2\pi rl+\pi r^2  

c)

12Pl\frac{1}{2}Pl

d)

12Pl+B\frac{1}{2}Pl+B

40.

How do you find the lateral surface area of a cone?

a)

πrl\pi rl  

b)

πrl+πr2\pi rl+\pi r^2  

c)

12Pl\frac{1}{2}Pl

d)

12Pl+B\frac{1}{2}Pl+B

41.

Both the pyramid and cone have a what?

a)

Slant height

b)

Circular base

c)

Triangular base

d)

Rectangular face

42.

What is the total surface area of the pyramid? Round to the nearest hundredth.

a)

1,024.01 square units

b)

809.54 square units

c)

1,065.54 square units

d)

1,179.02 square units

43.

A pyramid has a square base. Each side of the base is 9 cm. The slant height is 14 cm. What is the total surface area?

a)

126 cm2

b)

144 cm2

c)

252 cm2

d)

333 cm2

44.
Find the surface area.
a)
12 m2
b)
16 m2
c)
24 m2
d)
20 m2
45.
Find the slant height of the pyramid.
a)
28 cm
b)
25 cm
c)
21 cm
d)
24 cm
46.
Find the surface area of the cone.
a)
131.95 mm²
b)
223.1 mm²
c)
62.83 mm²
d)
103.67 mm²
47.
What is surface area?  Round to the nearest hundredth
a)
1339.73
b)
1003.36
c)
320.78
d)
742.04
48.

Find the volume of the rectangular prism.

a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

49.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
50.

Find the Volume of the triangular prism.

V = (base area)(height)

a)

960 cm 3

b)

240 cm 3

c)

1920 cm 3

d)

400 cm 3

51.

Find the volume of the solid shown in the figure. Round to the nearest whole number.

a)

5,524

b)

377

c)

1,131

d)

120

52.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
53.
Find the volume of the figure. Round to the nearest tenth.
a)

128.0 units³

b)

1,286.8 units³

c)

402.1 units³

d)

5,147.2 units³

54.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
55.
Find the volume of the figure. Round to the nearest tenth.
a)
79.8 cm³
b)
168.2 cm³
c)
35 cm³
d)
175 cm³
56.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
57.
Choir is selling Pringle Chips to raise money for a field trip. The container has a diameter of 9 inches and a height of 32 inches. 

Which equation can be used to find the volume of the container?
a)
V = π(9)
b)
V = π(4.5)2(32)
c)
V = π(9)2(32)
d)
V = π(4.5)(32)
58.
Michael has a very large soup pot shaped like a cylinder that has a height of 15  inches and a radius of 6 inches. How much soup can Michael’s soup pot hold?
a)
5596.07 in3
b)

282.7. in3

c)

1696.5 in3

d)

424.1 in3

59.
This trough is filled with water.  If 1 cubic foot holds  7.5 gallons, how much water will fill the trough?
a)
21.5 gallons
b)
112.5 gallons
c)
133 gallons
d)
150 gallons
60.
Estimate the volume.
a)
163in3
b)

94in3

c)
283in3
d)
324in3
61.
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
62.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
63.
Find the volume of this prism: 
a)
9 yd cubed
b)
24 yd cubed
c)
12 yd cubed
64.
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
65.

What is the formula for the Volume of a cylinder?

a)

πr2

b)

πr2h

c)

2B + LA

d)

πrl

66.

What is the formula used to find the volume of a rectangular prism?

a)

V = Lw

b)

V = Bh

c)

V = 1/2bh

d)

V = 2πr

67.

What is the volume of the prism?

a)

132 cm3132\ cm^3

b)

330 cm3330\ cm^3

c)

66 cm366\ cm^3

d)

264 cm3264\ cm^3

68.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
216 yd3
b)
108 yd3
c)
72 yd3
d)
36 yd3
69.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
108 km3
b)
324 km3
c)
216 km3
d)
648 km3
70.
Find the volume of the figure.
a)
150.72 cm³
b)
75.36 cm³
c)
452.16 cm³
d)
151 cm³
71.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
952 units³
c)
1,904 units³
d)
890 units³
72.

Find the volume of the rectangular pyramid.

a)

364 cm3

b)

1092 cm3

c)

546 cm3

d)

182 cm3

73.

Find the volume.

a)

240 cm3

b)

1440 cm3

c)

720 cm3

d)

480 cm3

74.

Use pi=3.14. Round to the nearest tenth.

a)

718.4 km3

b)

2155.1 km3

c)

196 km3

d)

205.3 km3

75.

Find the volume of the following cone.

a)

8821.6 m3

b)

2205.4 m3

c)

6616.2 m3

d)

702 m3

76.

Mike has a large plastic cup that he is going to fill with water. The plastic cup is in the shape of a cone as shown. Which is closest to the volume of Mike’s cup?

a)

21 cubic inches

b)

63 cubic inches

c)

66 cubic inches

d)

198 cubic inches

77.
Find the volume.
a)
64
b)
128
c)
384
d)
192
78.
v = ?
a)
2,144.66 m3
b)
1,608.49 m3
c)
536.17 m3
d)
498.62 m3
79.
find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
80.

What is the formula to find the volume of a pyramid with a rectangular base?

a)

V = (⅓)πr2⋅h

b)

V = πr2⋅h

c)

V = (⅓)lw⋅h

d)

V = (⅓)(½⋅bh)⋅(height of pyramid)

81.

What is the formula to find the volume of a cone?

a)

V=π r3h

b)

V=π r2h

c)

V=(⅓)π r2h

d)

V=(4/3)π r3

82.

A solid cone was placed in the center of a rectangular fish tank as shown. Which is closest to the maximum amount of water that the fish tank can hold? If necessary, round to the nearest whole number.

a)

1286 in3

b)

1455 in3

c)

1476 in3

d)

1569 in3

83.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
120 ft3
b)
96 ft3
c)
288 ft3
d)
 192 ft3
84.
Calculate the volume of the pyramid in the picture.  Round to the nearest whole number if necessary.
a)
10 m3
b)
30 m3
c)
60 m3
d)
25 m3
85.

A planter in the shape of a square pyramid is being filled with soil. Soil cost $0.78 per cubit cubic foot. What is the cost of filling the planter with soil?

a)

$24

b)

$8

c)

$6.24

d)

$18.72

86.

Find the volume of the pyramid.

a)

28 cubic feet

b)

84 cubic feet

c)

12 cubic feet

d)

21 cubic feet

87.

A cone has the radius of 7.5 cm and the height of 5 cm. Which of the following is the correct way to plug into the formula?

a)

v=13π(15)2(5)v=\frac{1}{3}\pi\left(15\right)^2\left(5\right)

b)

v=13(3.75)2(5)v=\frac{1}{3}\left(3.75\right)^2\left(5\right)

c)

v=13π(7.5)(5)v=\frac{1}{3}\pi\left(7.5\right)\left(5\right)^{ }

d)

v=13π(7.5)2(5)v=\frac{1}{3}\pi\left(7.5\right)^2\left(5\right)