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Worksheets

Area, Surface Area, Volume, & Cross Sections

Total questions: 64

Worksheet time: 5hrs 20mins

Name
Class
Date
1.

What are the correct formulas for each???

a)

area of a square

A =

1.

bhbh

b)

area of a triangle

A =

2.

12bh\frac{1}{2}bh

c)

area of a trapezoid

A =

3.

12h(b1+b2)\frac{1}{2}h\left(b_1+b_2\right)

d)

area of a circle

A =

4.

πr2\pi r^2

e)

area of a semi-circle

A =

5.

πr2÷2\pi r^2\div2

2.
Find the area. 
a)

198.25 ft2

b)

198.25 ft

c)

182 ft2

d)

182 ft

3.
Find the area:
a)
13 in2
b)
20 in2
c)
26 in2
d)
40 in2
4.
Find the area of the parallelogram.
a)
15.6 cm2
b)
30.6 cm2
c)
13.26 cm2
d)
79.56 cm2
5.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
6.
What is the area?
a)
12 cm2
b)

24 cm

c)

12 cm

d)
24 cm2
7.
Area or triangle?
a)

24 cm2

b)
56 cm2
c)
28 cm2
d)

48 cm2

8.

What is the area of the trapezoid?

a)

36 square millimeters

b)

48 square millimeters

c)

24 square millimeters

d)

12 square millimeters

9.

What is the area of the trapezoid?

a)

4 square meters

b)

16 square meters

c)

10 square meters

d)

60 square meters

10.

What is the area of the trapezoid?

a)

49 square miles

b)

63 square miles

c)

180 square miles

d)

270 square miles

11.
Find the area of the circle
a)

56.52 in2

b)

254.34 in2

c)

1017.36 in2

d)

28.26 in2

12.

What is the area of this circle?

Round to the nearest whole number.

a)

6080

b)

1520

c)

69

d)

138

13.
What is the area of this circle?
a)

1384.74 ft2

b)

2142.12 ft2

c)

5538.96 ft2

d)

1289.12 ft2

14.

What is the area of the composite figure? Use 3.14 for π.

a)
14 cm2
b)

26.56 cm2

c)
12.56 cm2
d)

20.28 cm2

15.
What is the area of the composite figure?
a)
48 cm2
b)
90 cm2
c)
78 cm2
d)
12 cm2
16.

What is the approximate area of the shaded region?

a)
70 cm2
b)
12 cm2
c)
82 cm2
d)
58 cm2
17.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
18.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
19.
What is the diameter?
a)
5 in
b)
10 in
c)
3.14 in
d)
15.84 in
20.

What is the circle's radius?

a)

3 m

b)

6 m

c)

12 m

21.

Is this radius or diameter?

a)

Radius

b)

Diameter

22.

Is this Radius or Diameter?

a)

Radius

b)

Diameter

23.

Find the perimeter of this shape:

a)

25 cm

b)

16 cm

c)

63 cm

d)

26 cm

24.

Find the perimeter of this shape:

a)

8 units

b)

16 units

c)

32 units

d)

12 units

25.

Find the circumference of the circle

a)

50.24 yd

b)

25.12 yd

c)

11.14 yd

26.

Find the circumference of the circle

a)

18.84 cm

b)

75.36 cm

c)

37.68 cm

27.

Find the circumference of a circle with a radius of 4 inches.

a)

12.56 in

b)

25.12 in

c)

50.24 in

28.

A circular swimming pool is 21 feet in diameter.

What is the approximate distance around the pool?

a)

10.5 ft

b)

42 ft

c)

65.94 ft

d)

131.95 ft

29.

A circular swimming pool has a 21 foot diameter.

How many square feet of tarp would be needed to cover the pool?

a)

10.5 ft

b)

42 ft

c)

1384.74 sq ft

d)

346.185 sq ft

30.

Jason is painting a large circle mural on one wall of his new apartment. The longest distance across the circle will be 8 feet. Approximately how many square feet of wall will the mural cover?

a)

200.96 ft2

b)

50.24 ft2

c)

25.12 ft2

d)

20.96 ft2

31.
A bicycle tire has a diameter of 20 inches. How many inches is one full revolution of the wheel?  
a)
31.4 in
b)
1256 in
c)
125.6 in
d)
62.8 in
32.

What is the surface area of this figure?

a)

200 cm 2

b)

800 cm 2

c)

400 cm 2

d)

100 cm 2

33.

Find the Surface Area

a)

556 cm2

b)

278 cm2

c)

680 cm2

d)

340 cm2

34.

What is the total surface area of the triangular prism shown?

a)

468 in2

b)

540 in2

c)

576 in2

d)

700 in2

35.

What is the surface area of the triangular prism?

a)

272in2

b)

389in2

c)

241in2

d)

240in2

36.

What is the volume of the figure shown?

a)

96 cm2

b)

96 cm3

c)

192 cm2

d)

192 cm3

37.

Find the volume.

a)

18 m3

b)

20 m3

c)

16 m3

d)

22 m3

38.

A cereal box is in the shape of a rectangular prism. It has a height of 12 cm.  The area of the base is 7 cm2.  What is the volume?

a)

28 cm3cm^3  

b)

84 cm3cm^3  

c)

19 cm3cm^3  

d)

42 cm3cm^3  

39.

Find the volume of this rectangular prism.

a)

55 yd3

b)

121 yd3

c)

22 yd3

d)

330 yd3

40.

An ice cube is in the shape of a rectangular prism. Each side of this ice cube measures 2 inches.  The volume of this ice cube is (a)  

Choose from the below words
8 cubic inches
6 cubic inches
12 cubic inches
4 square inches
41.

If you slice a shape parallel to the base, what will the cross section be the shape of?

a)

face

b)

base

c)

stretched base

42.

If you slice a shape perpendicular to the base, what will the shape always be?

a)

face

b)

base

c)

fase

d)

bace

43.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
44.

A cylinder is cut parallel to the base. What is the shape of the cross-section formed?

a)

Circle

b)

Rectangle

c)

Triangle

d)

Trapezoid

45.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
46.
Describe the cross section.
a)
triangle
b)
rectangle
c)
trapezoid
d)
square
47.
What is this shape?
a)
cone
b)
pyramid
c)
rectangular prism
d)
cube
48.

Name the following shape.

a)

Triangular Pyramid

b)

Triangular Prism

c)

Rectangular Pyramid

d)

Rectangular Prism

49.
Name the following shape.
a)
Triangular Pyramid
b)
Triangular Prism
c)
Square Prism
d)
Square Pyramid
50.
What is the shape?
a)
Square
b)
Cone
c)
Pyramid
d)
Triangle
51.
What is the area of the composite shape?
a)

40 ft2

b)

9 ft2

c)

49 ft2

d)

61 ft2

52.
What is the area of the shaded region?
a)
4 cm2
b)
16 cm2
c)
8 cm2
d)
12 cm2
53.
What is surface area?
a)

the space inside of an object

b)

the sum of all the areas of all the shapes that cover the surface of the object

c)

something math nerds made up to drive 7th graders crazy

d)

what happens when Ole Miss fans go to Starkville

54.

Match the following

a)
1.

Cylinder

b)
2.

Rectangular Prism

c)
3.

Triangular Prism

d)
4.

Triangular Pyramid

e)
5.

Square Pyramid

55.

The "B" in the standard volume formula for prisms stands for ___.

a)

area of the base

b)

perimeter of the base

c)

area of the prism

d)

perimeter of the prism

56.

Find the total surface area of the shape shown.

a)

3000 in2

b)

1350 in2

c)

1800 cm2

d)

2100 cm2

57.

Triangular Prism with base lengths 3 m, 4 m, 5 m, and a height of 6m. What is the surface area?

a)

84 m2

b)

92 m2

c)

102 m2

d)

96 m2

58.

Kayla wants to build a fence in her backyard. The area she wants to enclose has a length of 30 feet and a width of 45 feet. How many feet of fence will she need to buy?

a)

150 ft2

b)

1350 ft2

c)

1350 ft

d)

150 ft

59.

The area of a soccer field is 56 square yards. The length of one side of the field is 8 yards. What is the width of the field?

a)

7 yards

b)

448 yards

c)

48 yards

d)

9 yards

60.

Farmer John walks his pet pig around his barn every day. The barn is 25 meters by 12 meters.

If he walks the pig around the barn three times, how many meters did farmer John and his pig walk?

a)
300 meters
b)
222 meters
c)
74 meters
d)
37 meters
61.

A circular mirror has a diameter of 28 inches. What is the area of the mirror? Use 3.14 for pi.

a)

604.23 in2

b)

613.44 in2

c)

615.44 in2

d)

623.65 in2

62.

Mark is putting a round fountain in his backyard.

He decides to place bricks around the edge of the fountain.

If the radius of the fountain is 1.5 feet, what is the length of the brick edge?

a)

9.42 ft

b)

12.56 ft

c)

17.5 ft

d)

15.7 ft

63.

Jason is putting in a new circular shaped fire pit in his backyard. The diameter of the fire pit is 4 feet. What is the area of the backyard does the fire pit cover?

a)

12.56 ft2

b)

56.52 ft2

c)

25.12 ft2

d)

3.14 ft2

64.
Alicia's garden is 50 square feet. Inside of her garden she plants a section of tomatoes that is 3 feet by 4 feet. How much more space does she have left in her garden to plant other crops? 
a)
62 square feet
b)
8 square feet
c)
38 square feet
d)
12 square feet