NEW
Font size
S
M
L
XL
WorksheetsVolume and Surface Area Review
Total questions: 41
Worksheet time: 4hrs 46mins
Name
Class
Date
1.
Phil bought a block of cheese in the shape of a rectangular prism measuring 8 inches by 4 inches by 2 inches. He cut four pieces of cheese off the block, each measuring 2 inches by 3 inches by 1 inch. How much of the block of cheese is left?
a)
64 in3
b)
70 in3
c)
58 in3
d)
40 in3
2.
A rectangular prism has a height of 12 inches and a length of 6 inches. If the total surface area is 396 square inches, what is the width of the prism?
a)
7 in
b)
6 in
c)
9 in
d)
8 in
3.
The cylinders shown have the same volume. What is the radius of Cylinder Y?
a)
2 m
b)
4 m
c)
6 m
d)
12 m
4.
Melinda is trying to decide between two different storage containers. She wants to purchase the container that has more volume. Which statement is true?
a)
the rectangular container is larger and has a volume of 6,480 in3
b)
the rectangular container is larger and has a volume of 7,540 in3
c)
the cylindrical container is larger and has a volume of 6,480 in3
d)
the cylindrical container is larger and has a volume of 7,540 in3
5.
The height of a cone with a 7-inch radius and a 9-inch height is doubled. How does that affect the volume of the cone?
a)
The volume is doubled.
b)
The volume is tripled.
c)
The volume is squared.
d)
The volume is cubed.
6.
A cylindrical glass is a quarter full. How much water needs to be added to the glass to completely fill it up? Use 3.14 for π. Round your volume to the nearest tenth.
a)
35.6 cm3
b)
8.9 cm3
c)
26.7 cm3
d)
17.8 cm3
7.
What is the volume of the cylinder if both the height and diameter are halved? Leave your answer in terms of π.
a)
7.5π in3
b)
11.25π in3
c)
90π in3
d)
77π in3
8.
Calculate the volume of the hemisphere below. Leave your answer in terms of pi.
a)
20π in3
b)
12π in3
c)
18π in3
d)
36π in3
9.
A builder poured concrete for a ramp. The dimensions are shown below. What is the width (height of ramp) of the ramp x if the volume is 810 cubic centimeters?
a)
12 cm
b)
13 cm
c)
15 cm
d)
19 cm
10.
Now that you have the width for the concrete ramp. Calculate the total surface area.
a)
540 cm2
b)
576 cm2
c)
648 cm2
d)
792 cm2
11.
Determine the total surface area of the prism.
a)
136.5 in2
b)
160.5 in2
c)
202 in2
12.
Jeffery has a piece for his train set in the shape of a triangular prism. He has enough paint to cover 25 square feet. If he uses all the paint, how many square feet will be unpainted?
a)
25 ft2
b)
5 ft2
c)
32 ft2
d)
7 ft2
13.
Elizabeth wants to paint the outside of the box blue. If paint costs $0.30 per square inch, how much will it cost Elizabeth to paint every outside surface?
a)
$500
b)
$516
c)
$612
d)
$416
14.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
`Square Prism
15.
What is the name of this 3D solid?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Triangular Proton
d)
Square Base Triangle
16.
The base of the triangle is 5 inches. The length of the rectangle is 15 inches. The height of the triangle is 10 inches. Find the lateral surface area.
a)
300 in2
b)
200 in2
c)
275 in2
d)
225 in2
17.
What is the lateral surface area of this figure?
a)
324 cm2
b)
144 cm2
c)
180 cm2
d)
288 cm2
18.
What is surface area?
a)
how much a 3D object can hold
b)
the sum of the areas of all the shapes that cover the surface of the object.
c)
the area of the 2 bases
d)
the area of a shape plus it's volume
19.
Find the lateral surface area of the figure.
a)
96 ft2
b)
192 ft2
c)
84 ft2
d)
108 ft2
20.
Find the lateral surface area of the figure.
a)
456 m2
b)
1444 m2
c)
1245 m2
d)
816 m2
21.
A rectangular prism has dimensions of 3 ft, 2 ft, 5 ft. Which of the following is true?
a)
Volume > Surface Area
b)
Volume < Surface Area
c)
Volume = Surface Area
d)
Surface Area = 2 times the Volume
22.
Rudy wants to make a cube-shaped box with no top. How much cardboard is needed to make the box if each edge is 16 inches long?
a)
1280 in2
b)
1536 in2
c)
4096 in2
d)
96 in2
23.
Find the surface area of a rectangular prism with the following dimensions:
length = 8 m; height = 4 m;
width = 6 m.
length = 8 m; height = 4 m;
width = 6 m.
a)
208 m2
b)
104 m2
c)
204 m2
d)
200 m2
24.
The area of the base of this rectangular pyramid can be found by using which equation?
a)
B = 8x9
b)
B = 8 x 8
c)
B = 1/3 (8 x 8)
d)
B = 1/3 (8 x 9)
25.
The shape of the base in a rectangular pyramid is a rectangle.
a)
True
b)
False
26.
What is the volume of the prism?
a)
60 cubic cm
b)
90 cubic cm
c)
120 cubic cm
d)
150 cubic cm
27.
a)
A
b)
A and B
c)
C and D
d)
D
28.
a)
V= 392.5 ft3
b)
V=104.6667 ft3
c)
V= 65.4167 ft3
d)
V= 523.3333 ft3
29.
a)
V= 267.9467 ft3
b)
V= 1607.68 ft3
c)
V= 2143.5733 ft3
d)
V= 17,148.5867 ft3
30.
Find the volume of the cone. Round your answers to the nearest tenth. Use 3.14 for π.
a)
320.4 in3
b)
314 in3
c)
205.5 in3
d)
267.4 in3
31.
What is this formula used to find?
V=πr2h
V=πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
32.
A can of juice is 10 cm across and 13 cm tall. If you need 7,100 cm3 of juice, how many cans will you need to buy?
a)
5
b)
6
c)
7
d)
8
33.
Which has a greater volume?
Cylinder A. r = 3 m, h = 1.2 m
Cylinder B. d = 4 m, h = 2.5 m
Cylinder A. r = 3 m, h = 1.2 m
Cylinder B. d = 4 m, h = 2.5 m
a)
Cylinder B
b)
They are the same
c)
Cylinder A
34.
You have a globe that has a radius of 11 inches. Find the volume of your globe.
a)
523 in3
b)
16,717 in3
c)
5,575 in3
d)
7,235 in3
35.
a)
Prism
b)
Spheres
c)
Cones
d)
Cylinders
36.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
37.
r=3
h=10
h=10
a)
V=30∏
b)
V=90∏
c)
V=19∏
d)
V=10∏
38.
Which cylinder will have a larger volume?
a)
Cylinder A
b)
Cylinder B
39.
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)
593.76 in3
c)
1781.283 in3
d)
94.5 in3
40.
Jason is drinking a soda from a can that has a radius of 5 in and a height of 43 in. He has already drank 1/4 of the soda, how much soda is still remaining in the can? Leave the answer in terms of π.
a)
1075π
b)
268.75π
c)
430π
d)
806.25π
41.
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
Reset
