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Volume, Lateral, & Surface Area (TEK 8.7A, 8.7B, 8.7C)

Total questions: 133

Worksheet time: 15hrs 11mins

Name
Class
Date
1.
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
2.

Soda is sold in aluminum cans that measure

4.83 inches in height and 2.6 inches in diameter. What is the volume to the nearest inch?

a)

25.63 in 3

b)

26 in 3

c)

19.73 in 3

d)

95.28 in 3

3.
a)

24.1 in2

b)

24.1 in

c)

4.9 in

d)

24.09 in2

4.
a)

91.3 in3

b)

91.4 in3

c)

91.3 in2

d)

91.4 in

5.

What is the surface area of the cylinder?

a)

72.5π ft2

b)

72.5π ft3

c)

227.7 ft3

d)

227.65 ft2

6.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
7.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
c)
50 cm2
d)
54 cm2
8.
What is the surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
9.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
10.
Find the volume of this square pyramid.
a)
214.8 m3
b)
586.7 m3
c)
1818.2 m3
d)
not enough information
11.
Find the Volume
a)
960 cm 3
b)
240 cm 3
c)
960 cm 2
d)
1920 cm 3
12.
Volume = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
d)
782 mm3
13.
Find the volume.
a)
14.13 in3
b)
56.52 in3
c)
169.56 in3
d)
145.72in3
14.
find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
15.
Find the Surface Area of the given figure.
a)
477.52m2
b)
427.26m2
c)
578.05m2
d)
628.32m2
16.
Find the Surface Area.
a)
15m2
b)
16m2
c)
18m2
d)
20m2
17.
Find the volume to the nearest hundredth using 3.14 instead of Pi.(The Diameter is 7 cm)
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
18.
what is the volume?
a)
72
b)
27
c)
1.5
d)
272
19.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
20.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
21.
Find the volume.
a)
364
b)
1092
c)
546
d)
182
22.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
23.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
24.
What is surface area?
a)
The amount of stuff that can fit in an object.
b)
A 2D shape.
c)
A 3D shape.
d)
The sum of the areas of all the surfaces (faces) of a 3D shape.
25.
Find the Surface Area.
a)
15.6m2
b)
96m2
c)
52.3m2
d)
890m2
26.
Find the Surface Area of the cylinder.
a)
3015.93cm2
b)
1156.11cm2
c)
578.05cm2
d)
779.11cm2
27.
Given that the volume of a sphere is 47.916π units3, find the surface area.
a)
136.85 units2
b)
45.62 units2
c)
451.60 units2
d)
34. 21 units2
28.
a)
A
b)
B
c)
C
d)
D
29.
Find the Volume of the given figure.
a)
30 ft3
b)
36 ft3
c)
96 ft3
d)
11 ft3
30.
Kai ate an ice cream cone at the park last Thursday.The height of the cone was 7 centimeters.The diameter of the base is 4 centimeters.What would be the Volume of the cone?
a)
500000000000
b)
40.4
c)
23.2
d)
29.3
31.
A cube is measured at 4 cm in length, what is the surface area?
a)
96 cm2
b)
16 cm2
c)
64 cm2
32.
find the volume of this figure?
a)
190cm3
b)
200cm3
c)
140cm3
d)
192cm3
33.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
34.

To find the volume of a figure you need to use which of the following formulas?

a)

l x w

b)

l x w x h

c)

1/2 x b x h

d)

2l x 2w x 2h

35.
What is surface area?
a)
Inside of the object
b)
the sum of all theareas of all the shapes that cover the surface of the object.
c)
Something Mr. Strickland made up?
d)
Surface area is what you get when you boil unicorn tears. 
36.
Find the volume of the figure?
a)
1100 in3
b)
1600 in3
c)
1200 in3
d)
1500 in3
37.
The volume of this CUBE is 64 cubed cm. What is the cube's height? * hint ---  l x w x h =64---- the shape is a CUBE
a)
6cm
b)
 4 cm
c)
64 cm
d)
 8903 cm 8
38.
a)

990 yds2

b)

990 yds3

c)

598 yds2

d)

598 yds3

39.

What is the surface area?

a)

164 in2

b)

82 in2

c)

120 in3

d)

164 in3

40.
a)

24.1 in2

b)

24.1 in

c)

4.9 in

d)

24.09 in2

41.
a)

They have the same volume.

b)

Cylinder A

c)

Cylinder B

d)

There is not enough information to determine.

42.

What is the volume of the cylinder?

a)

235.5 ft3

b)

942 ft3

c)

75π ft3

d)

235.62 ft3

43.

Find the volume of the solid shown in the figure and answer in terms of pi.

a)

480π m3

b)

1440π m3

c)

360π m3

d)

120π m3

44.

What is the surface area?

a)

224 ft2

b)

374 ft2

c)

748 ft2

d)

1120 ft2

45.
Find the surface area of the triangular prism.
a)
196 ft2
b)
96 ft2
c)
98 ft2
d)
108 ft2
46.
What is the surface area of the cylinder to the nearest square inch? 
a)
625 in2
b)
1300 in2
c)
1046 in2
d)
414 in2
47.
Find the volume.
a)
55 yd3
b)
121 yd3
c)
22 yd3
d)
330 yd3
48.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
12.56 ft3
b)
37.68 ft3
c)
18.84 ft3
d)
6.28 ft3
49.
Find the volume to the nearest hundredth using 3.14 instead of Pi.
a)
418.00 cm3
b)
139.33 cm3
c)
130.62 cm3
d)
1671.98 cm3
50.
Find the volume to the nearest hundredth using 3.14 instead of Pi.(The Diameter is 7 cm)
a)
179.50 cm3
b)
205.15 cm3
c)
51.29 cm3
d)
1436.03 cm3
51.
 Find the volume of the solid shown in the figure?
a)
7230
b)
6621
c)
1130
d)
907
52.
Find the total surface area of the pyramid. 
a)
168 m2
b)
228 m2
c)
390 m2
d)
196 m2
53.
What is this formula used to find?
V=4/3πr3
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
54.
Find the surface area to the nearest hundredth using 3.14 instead of Pi.
a)
1519.76 cm2
b)
138.16 cm2
c)
126.65 cm2
d)
1393.11 cm2
55.
Find the volume to the nearest cubic foot.
a)
V= 393 ft3
b)
V=105 ft3
c)
V= 65 ft3
d)
V= 524 ft3
56.
A golf ball has a diameter of 1.7 inches.  The company is looking to fill the inside of it with material. What is the volume of the material inside the golf ball?
a)
2.57 cubic inches
b)
5.67 cubic inches
c)
7.71 cubic inches
d)
4.56 cubic inches
57.
Find the lateral area of the square pyramid shown to the nearest whole number.
a)
5671 yd2
b)
2836 yd2
c)
4278 yd2
d)
2150 yd2
58.

If you wanted to know how much treasure is in the chest you would be finding the ________________

a)

volume

b)

surface area

59.

If you wanted to know how much metal is need to make a can you would be finding the ______

a)

Surface Area

b)

Volume

60.

Identify each situation that would require the application of surface area.

a)

Painting the outside of a shoebox

b)

Filling the shoebox with candy

c)

Counting the number of cubes inside of a shoebox.

d)

Wrapping the shoebox in gift wrap

61.

Which statement is true?

a)

Surface area is the are of the base of a container.

b)

Surface area is the measurement of the space inside of a container

c)

Volume is the measure of the amount a container can hold

d)

Volume is the areas of the surfaces of a container added together.

62.

Which statement is true?

a)

Surface area is the areas of all of the surfaces of a container.

b)

Volume is the distance around the container.

c)

Surface area is the measure of the space inside of a container.

d)

Volume is the area of the base of a container

63.

If you wanted to know how many cheerios could fit inside of the box you would be finding the _______

a)

volume

b)

surface area

64.

If you wanted to measure how much coca-cola is inside this can you would be looking for its ________

a)

surface area

b)

volume

c)

perimeter

d)

area

65.

If you wanted to measure how much water this fish tank could hold you would be measuring its _______.

a)

volume

b)

surface area

c)

perimeter

d)

circumference

66.

Select all of the cylinders

a)
b)
c)
d)
e)
67.

What is the radius of this shape?

a)

2

b)

4

c)

5.5

68.

What is the radius of this shape?

a)

10

b)

5

c)

20

d)

11

69.

Select ALL the rectangular prisms below

a)
b)
c)
d)
e)
70.
Which formula should you use if you want to find how much water will fill the swimming pool.
a)
πr2+ πrl
b)
πr2h
c)
2πr2+2πrh
d)
lwh
71.
For Jasmine's lunchbox to fit in her locker it cannot take up more than 225in3. Which one fits?
a)
6 x 7 x 7
b)
9 x 4 x 7 
c)
7 x 7 x 5
d)
8 x 4 x 7
72.
What is the volume? Round to the nearest whole.
a)
1770
b)
253
c)
443
d)
81
73.
Brandon built a chest in the shape of a rectangular prism for his mom. He needs to calculate the lateral surface area of the chest so that he will know how much paint to buy.  The chest is in the shape of a rectangular prism with the dimensions shown below. What is the lateral surface area of the storage shed in square feet?
a)
1008 in²
b)
606 in²
c)
1296 in²
d)
5184 in²
74.
What is the total surface area of the triangular prism shown below?
a)
1360 cm²
b)
672 cm²
c)
960 cm²
d)
864 cm²
75.
A local restaurant serves French fries in cone-shaped containers. The height of the cone is 20 centimeters and the radius of the cone is 8 centimeters. What is the approximate volume to the nearest hundredth? 
a)
1340.41 cm³
b)
4021.24 cm³
c)
1706.67 cm³
d)
3351.03 cm³
76.
The volume of a small hot tub is 48 ft3.  What is the volume of a similar hot tub that is larger by a scale factor of 2?
a)
96 ft3
b)
192 ft3
c)
384 ft2
d)
384 ft3
77.
What is this the formula for?
Volume of ____________
a)
Pyramids
b)
Spheres
c)
Prisms
d)
Cylinders
78.
What is this the formula for?
Volume of ____________
a)
Prisms
b)
Pyramids
c)
Cones
d)
Spheres
79.
What does the "B" in the volume formula V = Bh stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
80.
Find the volume of the Triangular Pyramid. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
81.
The laundry basket is shaped like a rectangular prism. The area of the base is 20 square feet. The volume is 160 cubic feet. What is the height of the laundry basket? 
a)
20 ft. 
b)
8 ft.
c)
172 ft. 
d)
160 ft
82.
The water pipe has a radius of 5 cm and a height of 7 cm. What volume of water does it take to fill the pipe?
a)
409.2 cm3
b)
549.8 cm3
c)
601.9 cm3
d)
718.5 cm3
83.
A cylindrical well has a radius of 10 feet and a height of 15 feet. What volume of water will it take to fill in the well? 
a)
4712.4 ft2
b)
1178.1ft2
c)
4712.4 ft3
d)
1178.1ft3
84.
A guest house is in the shape of a cone. The house is 7.5 feet high, 22 feet long. Find the volume of air that occupies the house, assuming it is empty.
a)
 950.33 ft3
b)
1130.97 ft3
c)
3801.33 ft3
d)
Not here
85.
A baseball has a 45 cm diameter. What is the volume of the contents of the ball?
a)
8847.55 cm3
b)
9631.25 cm3
c)
47712.94 cm3
d)
381703.51 cm3
86.
Find the volume of a sphere whose radius is 20 inches?
a)
 4188.79 in3
b)
5087.36 in3
c)
33510.32 in3
d)
Not here
87.
Trailers that travel on the road behind trucks are rectangular prisms. A typical height for the inside of these trailers is 108 inches. If the trailer is 8 ft wide and 20 ft long, what is the volume of the trailer?
a)
136 ft3
b)
500 ft3
c)
1440 ft3
d)
17280 ft3
88.
Alex has a fish tank that is 20 inches long, 12 inches wide, and is 25 inches tall. It has 5 glass sides and a plastic top that opens to clean the tank and feed the fish. What is the surface area of the glass sides? 
a)
6000 in2
b)
1840 in2
c)
2080 in2
d)
30000 in2
89.
A triangular prism has a triangular base of 4 inches, a triangular height of 3 inches, and it's hypotenuse is 5 inches. The entire prism is 13 inches tall. What is the volume?  
a)
25 in3
b)
56 in3
c)
780 in3 
d)
78 in3
90.
A triangular prism has a right triangle with a perimeter of 12 cm for a base. The entire height of the prism is 15 cm. Find the lateral surface area.  
a)
24 cm2
b)
2160 cm2
c)
180 cm2
d)
1512 cm2
91.
A box has a height of 23 inches, a width of 18 inches, and a length of 9 inches. What is the total surface area? 
a)
3726 in2
b)
1350 in2
c)
1500 in2
d)
1566 in2
92.
The lateral area of a cylinder is 94.2 cm2 . The height is 6 cm. What is the radius?
a)
2.5 cm
b)
10 cm
c)
24.7 cm
d)
55 cm
93.
 The lateral area of a cylinder is 94.2 cm2 . The height is 6 cm. What is the radius?
a)
24.7 cm
b)
2.5 cm
c)
30 cm
d)
8 cm
94.
What is the volume of the following triangular pyramid?
a)
3400 cubic in
b)
566.67 cubic in
c)
1133.33 cubic in
d)
1700 cubic in
95.
What is the volume of the following rectangular pyramid?
a)
990 cubic inches
b)
495 cubic inches
c)
660 cubic inches
d)
330 cubic inches
96.
What is the volume of the following rectangular pyramid?
a)
8085 cubic meters
b)
5390 cubic meters
c)
16170 cubic meters
d)
10780 cubic meters
97.
A sign made of solid wood is in the shape of a pyramid. The base is a triangle with a base of 6 feet and a height of 4 feet. The height of the sign
is 7 feet. The wood costs $3 per cubic foot. What is the cost of the sign?
a)
$168
b)
$56
c)
$84
d)
$28
98.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
212 ft²; 322 ft²
b)
152.6 cm²; 187.7 cm²
c)
219.6 in²; 313.2 in²
d)
50.4 in²; 66.4 in²
99.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
100.
Find the volume.
a)
240
b)
1440
c)
144
d)
480
101.
Find the volume.
a)
364
b)
1092
c)
546
d)
182
102.
What is the volume of this rectangular prism?
a)
6 cubic units
b)
16 cubic units
c)
12 cubic units
d)
10 cubic units
103.
Julie uses a tent like the one shown to go camping with friends. The tent is 7 feet tall, 10 feet wide and 12 feet long. Calculate the volume.
a)
840 cubic feet
b)
84 cubic feet
c)
420 cubic feet
d)
120 cubic feet
104.

Find the volume of the figure. Round to the nearest tenth.

a)

80 cm³

b)

160 cm3

c)

42 cm3

d)

40 cm³

105.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
106.

Find the surface area of the triangular pyramid.

a)

268.8 m2

b)

350.4 m2

c)

278.4 m2

d)

412.8 m2

107.
Find the Surface Area
a)
15m2
b)
16m2
c)
18m2
d)
20m2
108.

What is the surface area of this shape?

a)

211.937 ft2

b)

211 ft2

c)

225.456 ft2

d)

189.34 ft2

109.
Find the volume of the figure. Round to the nearest whole number.
a)
317 units³
b)
635 units³
c)
1,904 units³
d)
890 units³
110.
a)
V = 1800 mm3
b)
V = 600 mm3
c)
V = 900 mm3
d)
V = 1200 mm3
111.
Exact volume =
a)
9π in3
b)
90π in3
c)
282.743π in3
d)
30π in3
112.
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
113.
 Find the volume of the solid shown in the figure?
a)
72
b)
66
c)
1130.4
d)
90
114.
what is the volume?
a)
15yd3
b)
32yd3
c)
222yd3
d)
don`t miss this!
115.
V = ?
a)
150.72 mm3
b)
904.32 mm3
c)
2,712.96 mm3
116.

Find the lateral surface area of the following shape:

a)

132

b)

220

c)

64

d)

176

117.

Find the lateral surface area of the following shape:

a)

144

b)

96

c)

192

d)

480

118.

Find the lateral surface area of the following shape:

a)

50

b)

2400

c)

1000

d)

1300

119.
1) What does P stand for?
a)
Perimeter
b)
Perimeter of the base
c)
Area
d)
Area of the Base
120.
2) What does B stand for?
a)
Perimeter
b)
Perimeter of the Base
c)
Area
d)
Area of the Base
121.

3) What does b stand for?

a)

Perimeter

b)

base

c)

Area

d)

Area of the Base

122.
4) Find the Lateral Surface area of a cylinder where my radius is 7 cm and my height is 20 cm.
a)
3077.2
b)
879.2
c)
1186.92
d)
2(3.14)(7)(20)+2(3.14)(7)
123.
6) Find the Lateral Surface Area of a Triangular Prism. 
a)
72
b)
65
c)
84
d)
18
124.
10) Angel has a gift box that she wants to wrap for Valentines day. The cube has six congruent faces, each with a length and width of 3 cm.
How much paper will she need?
a)
54 cm2
b)
36 cm2
c)
45 cm2
d)
120 cm2
125.
11) Mrs. Jordan wants to paint her classroom. What formula should she use to find how much paint she needs?
a)
Lateral Surface Area
b)
S=Ph+2B
c)
Total Surface Area
d)
V=Bh
126.

Which of the following equations would Caleb use to find the lateral surface area of the triangular pyramid

a)

1/2 (24) (12)

b)

1/2 (24) (12) + 12

c)

(24) (12)

d)

1/2 (14) (12) (10)

127.
a)

A

b)

B

c)

C

d)

D

128.

Name the figure

a)

Rectangular Pyramid

b)

Triangular Pyramid

c)

Rectangular Prism

d)

Triangular Prism

129.

Hannah wants to cover a cardboard box with glitter. The box is a rectangular prism measuring 4 inches tall, 6 inches wide, and 8 inches long. Each tube of glitter covers 25 square inches. How many tubes will Hannah need if she only covers the lateral area of the box?

a)

5 tubes

b)

6 tubes

c)

7 tubes

d)

8 tubes

130.
Find the lateral area and surface area of each figure. Round your answers to the nearest tenth, if necessary.
a)
212 ft²; 322 ft²
b)
152.6 cm²; 187.7 cm²
c)
219.6 in²; 313.2 in²
d)
50.4 in²; 66.4 in²
131.

What is the lateral area of the pyramid?

a)

384 cm2

b)

256 cm2

c)

640 cm2

d)

28 cm2

132.

What is the lateral area of this shape?

a)

150 ft2

b)

360 ft2

c)

225 ft2

d)

250 ft2

133.
Name this figure.
a)
Square Pyramid
b)
Triangular Prisim
c)
Square Prisim
d)
Triangular Pyramid

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Equations and Inequalities with Variables on Both Sides

quiz

Worksheet

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8th Grade

Probability Challenge!

130 questions

Probability Challenge!

quiz

Worksheet

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9th - 12th Grade

7th Grade Spring EOC Review

130 questions

7th Grade Spring EOC Review

quiz

Worksheet

•

7th Grade

Playing With Numbers (6th Grade)

138 questions

Playing With Numbers (6th Grade)

quiz

Worksheet

•

5th - 7th Grade

Topic 12 Assessment Review

128 questions

Topic 12 Assessment Review

quiz

Worksheet

•

9th - 12th Grade

UNIT 3 REVIEW Alg

129 questions

UNIT 3 REVIEW Alg

quiz

Worksheet

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9th - 12th Grade