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surface area & volume

Total questions: 57

Worksheet time: 2hrs 51mins

Name
Class
Date
1.
Find the surface area of this figure.
a)
148 cm²
b)
120 cm²
2.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
3.
What is surface area?
a)
The measure of the amount of space inside of a solid figure
b)
The sum of all the areas of all the shapes that cover the object
4.
A rectangular brick has a length of 5 centimeters, a width of  9 centimeters and a height of 20 centimeters. What is the surface area of that brick? 
a)
650 cm2
b)
600 cm2
c)
525 cm2
d)
450 cm2
5.
How many faces does this shape have?
a)
6
b)
3
c)
9
d)
5
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
a)
500 ft2
b)
515 ft2
c)
525 ft2
d)
510 ft2
8.
Find the surface area of the rectangular prism with the following dimensions: 
length = 11 m
height = 7 m
width = 2 m
a)
226 m squared
b)
220 m squared
c)
150 m squared
d)
154 m squared
9.
Find the surface area of the rectangular prism.
a)
94 cm. squared
b)
60 cm. squared
c)
12 cm. squared
d)
19 cm. squared
10.

What is the surface area?

a)

70 and 3/5 ft2

b)

51 ft 2

c)

147 ft2

d)

87 ft 2

11.
Find the surface area of the cube.
a)
100 sq in
b)
400 sq in
c)
600 sq in
12.
Surface area:
a)
240 ft2
b)
268 ft2
13.
Find the surface area of a box measuring 4 in long, 3 in wide, and 6 in tall.
a)
108 in2
b)
54 in2
c)
72 in2
14.
How do you find the AREA of a TRIANGLE?
a)
Length x Width divided by 2
b)
Length x Width
c)
1/3 (Length x width)
d)
Base x Height divided by 2
15.
Find the area.
a)
27.3 mi2
b)
54 mi2
c)
27 mi2
d)
54.6 mi2
16.
How do you find the AREA of a RECTANGLE ?
a)
You can not find the area of a triangle
b)
Length X Height divided by 2
c)
Length X Width
d)
Height X Width 
17.
Find the AREA of this figure.
a)
160 square feet
b)
160 feet
c)
160
d)
1600 feet
18.
What is the surface area of this figure?
a)
200 in 2
b)
800 in 2
c)
400 in 2
d)
100 in 2
19.

What is the surface area of the cube?

a)

64 square millimeters

b)

9 square millimeters

c)

27 square millimeters

d)

54 square millimeters

20.

What is the surface area?

a)

26 square meters

b)

76 square meters

c)

123 square meters

d)

56 square meters

21.
a)
Rectangular Prism
b)
Cube
c)
Rectangular Pyramid
d)
Triangular Prism
22.

What is the name of this 3D solid?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Triangular Proton

d)

Square Base Triangle

23.

Calculate the surface area of the given shape. Round to the nearest tenth.

a)

282.7 in2

b)

56.5 in2

c)

188.5 in2

d)

245.0 in2

24.
What is the volume of the rectangular prism when it is fully packed if there are no gaps or overlaps in the unit cubes?
a)
15 cubic inches
b)
60 cubic inches
c)
30 cubic inches
d)
10 cubic inches
25.
Is surface area.......
a)
Filling in a 3 dimensional shape 
b)
wrapping the outside of a 3 dimensional shape
26.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
27.
Volume is the amount of space an object takes up.
a)
True
b)
False
28.
What does the "B" in the volume formula V = B x h stand for?
a)
Bottom of the object
b)
Box
c)
Between
d)
Area of the base
29.
What is the volume of this rectangular prism?
a)
26 cubic units
b)
24 cubic units
c)
24 square units
d)
26 square units
30.
Which formula can be used to find the volume of a rectangular prism?
a)
length x width
b)
length x width x height
c)
height x length
d)
length + width + height
31.
Each side of this ice cube measures 2 inches.  What is the volume of the ice cube?
a)
6 cubic inches
b)
8 cubic inches
c)
12 cubic inches
d)
8 square inches
32.
Find the volume
a)
48 cubic inches
b)
17 cubic inches
c)
18 cubic inches
d)
144 cubic inches
33.
The volume of a cube is 1,000 cm3. What is the length of each side of the cube? 
a)
1
b)
10
c)
100
d)
300
34.
When you are finding the length x width of a 3-dimensional figure, this is also called the:
a)
base
b)
perimeter
c)
volume
d)
width
35.
Alex used 20 unit cubes.  The prism was 5 units high.  How many cubes did Alex use to build the base?
a)
100
b)

15

c)
5
d)
4
36.

Which label would NOT be appropriate for volume?

a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
37.

What is the volume of this prism?

a)

12 in2

b)

12 in3

c)

13 in3

d)

9 in3

38.

What is the volume of the cereal box?

a)

23 in3

b)

120 in3

c)

132 in3

d)

288 in3

39.
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
40.
To calculate the amount of cardboard needed to make a cereal box, which of the following should you find: 
a)
Area
b)
Perimenter
c)
Surface Area
d)
Volume
41.
Which example requires you to find the surface area?
a)
Finding out how much water will fill a cylinder
b)
Finding out how much wrapping paper is needed to cover a present
c)
Finding the amount a container can hold
d)
Finding out how much wood is needed to build a fence in your back yard.
42.
Find the surface area of the rectangular prism.
a)
140 in.2
b)
83 in.2
c)
166 in. 2
d)
100 in.2
43.

The radius is ___________ of the diameter?

a)

one-fourth

b)

one - half

c)

twice

d)

4 times

44.
What shape is this?
a)
Cylinder
b)
Rectangular Prism
c)
Cube
d)
Cone
45.
What is the surface area formula for a cylinder? 
a)
S = 2πrh +2πr2
b)
S = Ph + 2B
c)
S = πrl + πr2
d)
S = ½Pl + B
46.
If my diameter is 19 inches, what is my radius?
a)
38 inches
b)
9.5 inches
c)
59.66 inches
d)
119.32 inches
47.
If my radius is 10ft, what is my diameter?
a)
20ft
b)
5ft
c)
31.4ft
d)
62.8ft
48.
what is the circumference of this circle ?
a)
3.14 cm 
b)
37.68 cm
c)
24 cm
d)
68.4 cm
49.
The radius of a circle is
a)
The measurement from the center of a circle to an edge of the circle.
b)
The measurement around the circle
c)
The measurement from and edge of the circle to another edge through the center
d)
A line perpendicular to the diameter of the circle
50.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
51.
A Circle has a radius of 12 inches.  What is the area of the circle? (Best Choice)
a)
24π or about 75.36 in2
b)
12π or about 37.68 in2
c)
144π or about 452.16 in2
d)
576π or about 1,808.64 in2 
52.
A Circle has a diameter of 18 meters.  What is the area of the circle? (Best Choice)
a)
9π or about 28.26 m2
b)
18π or about 56.52 m2
c)
81π or about 254.34m2
d)
324π or about 1017.36 m2 
53.
A center circle on a basketball court has a diameter of 12 feet.  What is the area of the circle? (Best Choice)
a)
6π or about 18.84 ft2
b)
12π or about 37.68 ft2
c)
36π or about 113.04 ft2
d)
144π or about 452.16 ft2
54.

What is circumference?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

55.

What is the area of a circle?

a)

The distance around a circle.

b)

The space inside the circle.

c)

The length of the straight line segment that passes through the center of the circle and whose endpoints lie on the circle.

d)

The line from the center of a circle to any point on its edge.

56.

The formula for the circumference of a circle is...

a)

C = πdC\ =\ \pi d

b)

C = πC\ =\ \pi

c)

C = πrC\ =\ \pi r

d)

C =πr2C\ =\pi r^2

57.

The formula for finding the area of a circle is...

a)

A = πdA\ =\ \pi d

b)

A = πA\ =\ \pi

c)

A =πrA\ =\pi r

d)

A =πr2A\ =\pi r^2