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Area, Perimeter, Surface Area, and Volume

Total questions: 104

Worksheet time: 6hrs 32mins

Name
Class
Date
1.

Perimeter of a Rectangle

a)
b)
c)
d)
2.

Area of a Rectangle

a)
b)
c)
d)
3.

Area of a square

a)
b)
c)
d)
4.

Area of a Triangle

a)
b)
c)
d)
5.

Area of a Circle

a)
b)
c)
d)
6.

Circumference of a Circle

a)
b)
c)
d)
7.

Surface Area of a Rectangular Prism

a)
b)
c)
d)

SA = sum of the Area of each face

8.

Surface Area of a Cylinder

a)
b)
c)
d)
9.

Surface Area of a Pyramid

a)
b)

SA = sum of the Area of each face

c)
d)
10.

Volume of a Rectangular Prism

a)
b)
c)
d)
11.

Volume of a Triangular Prism

a)
b)
c)
d)
12.

Volume of a Cylinder

a)
b)
c)
d)
13.

Volume of a Cone

a)
b)
c)
d)
14.

Volume of a Rectangular Pyramid

a)
b)
c)
d)
15.

Volume of a Sphere

a)
b)
c)
d)
16.

What formula would you use to find the area of this figure?

a)
b)
c)
d)
17.

What formula would you use to find the volume of this figure?

a)
b)
c)
d)
18.

What formula would you use to find the surface area of this figure?

a)

SA = sum of the Area of each face

b)
c)
d)
19.

What formula would you use to find the area of this figure?

a)
b)
c)
d)
20.

What formula would you use to find the surface area of this figure?

a)
b)
c)
d)
21.

What formula would you use to find the volume of this figure?

a)
b)
c)
d)
22.

What is the volume of the shape?

a)

72 cubic units

b)

27 cubic units

c)

1.5 cubic units

d)

272 cubic units

23.

What does area mean?

a)

The distance around a shape

b)

Half the distance around a shape

c)

The amount of space outside a shape

d)

The amount of space inside a shape

24.
What does perimeter mean?
a)
The amount of space inside a shape
b)
The distance around a shape
c)
The amount of space inside a shape divided by two
d)
Half the distance around a shape
25.
Mrs. Hunt needs a new rug for her classroom.  Her classroom is 7 feet by 9 feet.  How big will the rug be?
a)
34 sq. ft.
b)
65 sq. ft.
c)
63 sq. ft.
d)
75 sq. ft.
26.
Mr. Hall bought a border for a bulletin board. The bulletin board is 16 feet long and 17 feet wide.  How much border does he need to buy?
a)
34 ft.
b)
60 ft.
c)
33 ft.
d)
66 ft.
27.
a)
70 cm3
b)
19 cm3
c)
88 cm3
d)
165 cm3
28.
Sara's garden has a PERIMETER of 28 feet.  The LENGTH of the garden is 12 feet.  What is the WIDTH of Sara's garden?
a)
4 feet
b)
2 feet
c)
24 feet
d)
not here
29.
If a square has a side length of 10 meters, what is it's perimeter (P) and area (A)?
a)
P = 40 meters,
A = 100 m²
b)
P = 100 meters,
A = 40 m²
c)
P = 30 meters,
A = 125 m²
d)
P = 40 meters,
A =  150 m²
30.
If a rectangle has a length of 10 cm and a width of 12 cm, what is it's perimeter (P) and area (A)?
a)
P = 22 cm,
A = 54 cm²
b)
P = 44 cm,
A =  120 cm²
c)
P = 120 cm,
A = 44 cm²
d)
P = 44 cm,
A = 102 cm²
31.
What is the volume of this ice chest?
a)
13,760 cubic inches
b)
570 cubic inches
c)
67 cubic inches
d)
10,260 cubic inches
32.
A perimeter of a rectangle if 36 meters.  The width is 4 meters.  What would the length be?
a)
18 m
b)
 14m
c)
9 m
d)
28m
33.
a)

410 cm3

b)

420 cm3

c)

402 cm3

d)

401 cm3

34.

What is the area of the right triangle?

a)

32 units2

b)

20 units2

c)

10 units2

d)

17 units2

35.

Find the area of this right triangle.

a)

17.5 cm2

b)

35 cm2

c)

20 cm2

d)

17.5 cm

36.

Julia wants to see how many gallons of water will fill her pool. The pool is 15 feet long, 8 feet wide, and 6 feet deep. How many gallons of water will she need to fill the pool?

a)

720 feet3

b)

720 feet

c)

29 feet3

d)

29 feet

37.
To calculate the amount of carpeting needed for your bedroom, which of the following should you find: 
a)
Area
b)
Perimeter
c)
Surface Area
d)
Volume
38.

Dan is framing a picture of his baseball team. What would be the BEST measurement for Dan to find in order to know the length of the molding he will need to frame the picture?

a)

the area of the picture

b)

the weight of the picture

c)

the volume of the picture

d)

the perimeter of the picture

39.

A feeding trough in the shape of a rectangular prism is filled with corn weekly. What will the farmer need to know about the trough in order to buy enough corn for the week?

a)

surface area

b)

perimeter

c)

volume

d)

area

40.
What is the perimeter of the rectangle below?
a)
122 in
b)
2,697 in
c)
244 in
d)
344 in
41.
Which equation below would best represent how to find the area of the square below?
a)
A = 26 X 4
b)
A = 26 X 26
c)
A = 26 X 26 X 26 X 26
d)
A = 26 X 26 X 26 
42.
Anna is sending the following package in the mail to her sister. She needs to find the volume of the box before sending the package.
Which equation below would Anna use to find the volume of the package?
a)
V = 12 + 14+ 31
b)
V = 12 * 14 * 31
c)
V = (12 * 2) + (14 * 2) + (31 * 2)
d)
V = (12 * 14) + 31 
43.
Two rectangles are shown below. 
How many more square feet are in rectangle A compared to rectangle B?
a)
2,111 square feet
b)
383 square feet
c)
24 square feet
d)
482 square feet
44.
Marla has a garden with a length of 5 feet and a width of 3 feet. What is the area and perimeter of her garden?
a)
A = 8 square feet
P = 16 feet
b)
A = 15 square feet
P = 8 feet
c)
A= 15 square feet
P = 16 feet
d)
A = 16 square feet
P = 15 feet
45.
Milly measured a cereal box. It was 2 inches wide. 6 inches long, and 12 inches tall. What is the volume of the cereal box?
a)
20 cubic inches
b)
144 cubic inches
c)
24 cubic inches
d)
74 cubic inches
46.
What does area mean?
a)
the distance around a shape
b)
half the distance around a shape
c)
the amount of space outside a shape
d)
the amount of space inside a shape
47.
The distance around an object is called the 
a)
area
b)
perimeter
48.
What is the perimeter of this figure?
a)
12 cm
b)
32 cm
c)
24 cm
d)
20 cm
49.
Choose the correct formula for finding the perimeter of any shape.
a)
length times width
b)
base times height
c)
base times height divided by two
d)
add all sides
50.
Choose the correct formula to find the area of any rectangle or square.
a)
Add all sides
b)
base times height divided by two
c)
length times width
d)
add all sides and divide by two
51.

Mrs. Lozano is choosing carpet for her family room. Which of the following must Mrs. Lozano know to find out how much carpet she needs?

a)

the cost of one square yard of carpeting

b)

the perimeter of the family room floor

c)

the area of the family room floor

d)

the height of the family room

52.

Dan is framing a picture of his baseball team. What would be the BEST measurement for Dan to find in order to know the length of the molding he will need to frame the picture?

a)

the area of the picture

b)

the weight of the picture

c)

the volume of the picture

d)

the perimeter of the picture

53.

A feeding trough in the shape of a rectangular prism is filled with corn weekly. What will the farmer need to know about the trough in order to buy enough corn for the week?

a)

surface area

b)

perimeter

c)

volume

d)

area

54.

The amount of water a pool holds.

a)

Perimeter

b)

Area

c)

Volume

55.
The Torres' new freezer came in a box similar to the one shown. What is the volume of the box?
a)
72 cubic feet
b)
108 cubic feet
c)
13 cubic feet
d)
24 cubic feet
56.
Which is the formula for volume?
a)
Base x Height
b)
Length x Width
c)
Length x Width x Height
d)
Surface Area x Height
57.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
58.
a)
80 in3
b)
24 in3
c)
21 in3
d)
13 in3
59.
length =32 ft.
width = 12 ft.
height = 2 ft
What is the volume of this prism?
a)
768
b)
768 ft squared
c)
768 ft cubed
d)
678
60.

What is the definition of radius?

a)

The distance from the center to the perimeter

b)

The distance across a circle

c)

The distance all the way around a circle

61.

What is the definition of diameter?

a)

The distance from the center to the perimeter

b)

The distance across a circle

c)

The distance all the way around a circle

62.

What is the definition of circumference?

a)

The distance from the center to the perimeter

b)

The distance across a circle

c)

The distance all the way around a circle

63.
a)

2.05

b)

12.3

c)

8.1

d)

8.2

64.

What is the approximate value of π\pi  ?

a)

3

b)

3.14  …\ldots  

c)

3.5 …\ldots  

d)

2.71828 …\ldots  

65.

Calculate the area to nearest tenths place.

a)

12.6

b)

25.1

c)

16

d)

50.3

66.

Calculate the area to the nearest tenths place.

a)

36

b)

113.1

c)

37.7

d)

18.8

67.
a)

Area of a rectangle

b)

Area of a triangle

c)

Area of a trapezoid

68.

1/2 (b1 +b2) *h

a)

Area of a rectangle

b)

Area of a triangle

c)

Area of a parallelogram

d)

Area of a trapezoid

69.

Find the area of the trapezoid. (follow steps on board)

a)

18 m2

b)

165 m2

c)

84 m2

d)

22.5 m2

70.

Find the area of this triangle.

a)

12 in2

b)

22 in2

c)

18 in2

d)

24 in2

71.

What is the area and perimeter of this figure?

a)

12 sq. cm, 7 cm

b)

7 sq. cm, 12 cm

c)

12 sq. cm, 14 cm

72.
What is the area?
a)
50 insquared
b)
60 insquared
c)
300 insquared
73.

What is the perimeter?

a)

24 units

b)

18 units

c)

22 units

d)

32 units

74.
a)
54 cm2
b)
45 cm2
c)
63 cm2
d)
36 cm2
75.
a)
27 in2
b)
36 in2
c)
18 in2
d)
I have no idea
76.
 What is the area of the figure?
a)
48 ft2
b)
216 ft2
c)
65 ft2
d)
128 ft2
77.
Find the area of the composite figure
a)
40
b)
9
c)
49
d)
61
78.
The arrow shown is on a sign. What is the area of the arrow?
a)
17 in2
b)
40 in2
c)
52 in2
d)
61 in2
79.
The top view of a kitchen table is shown below. Which of the following equations could NOT be used to find the approximate circumference of the table?
a)
C = 3 • 36
b)
C = 3 • 2 • 36
c)
C = 3 • 72
d)
C = 3.14 • 72
80.

Find the perimeter.

a)

2.4 ft

b)

6.4 ft

c)

5.76 ft

d)

1.2 ft

81.

Find the area

a)

8 ft2

b)

3 ft2

c)

4 ft2

d)

6 ft2

82.

Rob is measuring his chocolate bar. It's length is 4 inches and its width is 6 inches. What is the perimeter?

a)

12 in

b)

24 in

c)

20 in

d)

576 in

83.

What is the area of this circle?

a)

6,079.04 ft

b)

138.16 ft

c)

69.08 ft

d)

1,519.76 ft

84.

What is the area of this shape?

a)

160 sq ft

b)

26 sq ft

c)

80 sq ft

d)

52 sq ft

85.

What is the perimeter of this triangle?

a)

20

b)

10

c)

160

d)

17

86.

Jen wants to know how much fencing she needs for the following:

a)

41 sq yd

b)

2,340 sq yd

c)

20.5 yd

d)

41 yd

87.

Find the area of the triangle.

a)

19.95 sq yd

b)

18.7 sq yd

c)

119.7 sq yd

d)

17.1 sq yd

88.

What is the circumference of this circle?

a)

78.5 m

b)

31.4 m

c)

15.7 m

d)

3.14 m

89.

Daniel has a circular rug that has a diameter of 16 inches. How much space does the rug take up?

a)

200.96 in

b)

50.24 in

c)

803.84 in

d)

25.12 in

90.

What is the area of the composite figure?

a)

20 cm2

b)

4 cm2

c)

30 cm2

d)

24 cm2

91.

What is the area of the composite figure?

a)

40 cm2

b)

65 cm2

c)

52.5 cm2

d)

25 cm2

92.

What is the area of the composite figure?

a)

80 cm2

b)

16 cm2

c)

96 cm2

d)

32 cm2

93.

What is the area of the shaded region?

a)

4 cm2

b)

16 cm2

c)

8 cm2

d)

12 cm2

94.

What is the area of the shaded region?

a)

14 m2

b)

120 m2

c)

106 m2

d)

134 m2

95.

What is the area of the composite figure?

a)

48 cm2

b)

90 cm2

c)

78 cm2

d)

12 cm2

96.

Find the area of the composite figures.

a)

56 ft2

b)

50 ft2

c)

51.5 ft2

d)

44 ft2

97.

What is the area of the composite figure?

a)

126 ft2

b)

56 ft2

c)

156 ft2

d)

78 ft2

98.

What is the area of the composite figure?

a)

212 cm2

b)

214 cm2

c)

215 cm2

d)

216 cm2

99.

Find the area of the composite figure.

a)

12 in2

b)

36 in2

c)

44 in2

d)

60 in2

100.

Find the area of the composite figure.

a)

220 unit2

b)

110 unit2

c)

120 unit2

d)

330 unit2

101.

Find the area of the composite figure

a)

76m2

b)

90 m2

c)

81 m2

d)

144 m2

102.

What is the area of the composite figure?

a)

459 cm2

b)

359 cm2

c)

259 cm2

d)

159 cm2

103.

What is the area of the composite figure?

a)

63 cm2

b)

33 cm2

c)

19 cm2

d)

20 cm2

104.

What is the area of the composite figure?

a)

20 cm2

b)

30 cm2

c)

40 cm2

d)

50 cm2

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