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3D Shapes Review

Total questions: 50

Worksheet time: 3hrs 34mins

Name
Class
Date
1.
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)
1695.6 in3
d)
94.5 in3
2.

A silo in the shape of a cylinder is partially filled with corn to feed cows. The corn fills 65% of the height of the silo. What is the approximate volume of the part of the silo that is filled with corn if the silo is 12 feet in diameter and 60 feet high?

a)

11,191.7 ft3

b)

4,408.8 ft3

c)

13,571.68 ft3

d)

6,782.84 ft3

3.
Find the volume of the figure. Round to the nearest tenth.
a)
128.6 units³
b)
1,286.1 units³
c)
401.9 units³
d)
5,144.6 units³
4.

An oatmeal container has a diameter of 20 cm and can hold 1570 cm3 of oatmeal. What is the height of the container of oatmeal?

a)

7.2 cm

b)

12.4 cm

c)

5 cm

d)

25 cm

5.

What formula would you use for the volume of a CYLINDER?

a)

V = 4/3πr2h

b)

V = 4/3πr3

c)

V = 1/3πr2h

d)

V = π r2h

e)

V = 1/3πh2r

6.
a)
1120 ft2
b)
2011 ft2
c)
120 ft3
d)
1120 ft3
7.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
8.
Is the red line a radius or diameter of the circle?
a)
Radius
b)
Diameter
9.
What is volume?
a)
The amount of space of a 2-D object
b)
The amount of space in a 3-D object
c)
Water
d)
Area
10.
The height of a prism is the distance between the two bases.
a)
True
b)
False
11.
In the formula V=Bh, what B stand for?
a)
Base
b)
Area
c)
Area of the base
d)
height
12.

The points where two or more edges meet on a 3D shape is called...

a)

outlines

b)

cylinder

c)

lines

d)

vertices

13.

The lines where two faces meet on a 3D shape are called...

a)

edges

b)

outside

c)

faces

d)

vertices

14.

The flat surface of a 3D shape is called a...

a)

side

b)

face

c)

half

d)

3D

15.
Find the volume.
a)
45mm2
b)
45mm3
c)
3,375mm3
d)
3,375mm2
16.
A packing company needs to know how much cardboard will be required to make boxes 18 inches long, 12 inches wide and 10 inches high.  How much cardboard will be needed if there is no overlap in the construction?
a)
1032 inches 2
b)
600 inches 2
c)
432 inches 2
d)
1632 inches 2
17.
A living room is 20 feet long, 50 feet wide, and 12 feet high.  How much paint do you need to cover the walls?
a)
1680 feet 2
b)
2680 feet 2
c)
3680 feet 2
d)
4680 feet 2
18.
A soup can has a radius of 2.5 inches and a height of 5 inches.  How much metal is needed to make the can?
a)
119.5 inches 2
b)
122.75 inches 2
c)
78.5 inches 2
d)
117.75 inches 2
19.
A crate is 2 feet in length, 5 feet in height, and has a volume of 40 cubic feet.  What is the width of the crate?
a)
10
b)
40
c)
4
d)
400
20.

Find the surface area of this figure.

a)

148 cm²

b)

120 cm²

c)

160 cm2

d)

74 cm2

21.
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
22.

What is the surface area of the cylinder? Keep your answer in terms of pi.

a)

1445.1m2

b)

460π m2

c)

1060π m2

d)

260π m2

23.

Campbells Soup is creating a new soup label. If a can has a height of 6 in and a diameter of 4 in, how much material does Campbells need for each soup label? Keep answer in terms of π.

a)

24π in2

b)

32π in2

c)

28π in2

d)

20π in2

24.
Kayla’s grandfather is building a toy box that is 2ft tall, 2 ½ ft wide and 4 ft long. If the wood cost $3 per square foot, what is the least amount Kayla’s grandfather can spend on the wood for the toy box?
a)
$15.33
b)
$138
c)
$78
d)
$60
25.
Find the surface area of the figure formed by the net with 2 cm ,  3 cm, and 4 cm edges below.
a)
40 cm2
b)
48 cm2
c)
52 cm2
d)
62 cm 2
26.
Find the Surface area of the shape?
a)
258 m2
b)
268 m2
c)
248 m2
d)
278 m2
27.
Greg built a tool box with a volume of 64 cubic inches.  The length and width are shown.  What is the height of Greg's tool box?  Show your work!
a)
32 inches
b)
12 inches
c)
2 inches
d)
3 inches
28.
The fish tank can hold 100 cubic inches of water. The tank is 5 inches wide and 5 inches long. How tall is the fish tank? 
a)
90 inches
b)
2,500 inches
c)
4 inches
d)
5 inches
29.
Volume = 125.874 m3 Solve for X
a)
46.62 m
b)
19.98 m
c)
7.4 m
30.
Write the equation to solve for the Area of a Trapezoid. Then use it to find the missing dimension. 
a)
4ft
b)
5ft
c)
6ft
d)
7ft
31.
Write the equation to solve for the Area of a Trapezoid. Then use it to find the missing dimension. 
a)
3in.
b)
4in.
c)
6in.
d)
5in
32.
Write the equation to solve for the Area of a Triangle. Then use it to find the missing dimension. 
a)
12yd.
b)
3yd.
c)
9yd
d)
8yd
33.
Hannah bakes a rectangular cake that is  9 inches wide, 13 inches long and 2 inches high. She removes the cake from the pan to frost it. If she frosts only the sides with pink icing, how much pink icing does she need to cover the sides of the cake? 
a)
322 in2
b)
234 in2
c)
88 in2
34.

Noah has a new saltwater aquarium in the shape of a rectangular prism in his room. The base is 6 ft by 2.5 ft. The height is 4 ft. How many square feet of glass was used to build the sides (NOT top and bottom) of the aquarium?

a)

68 ft2

b)

98 ft2

c)

60 ft2

35.

Identify the 3-D shape the net will make:

a)

Rectangular Prism

b)

Triangular Prism

c)

Triangular Pyramid

d)

Rectangular Pyramid

36.

Which 3-D figure will this net make?

a)

Triangular Pyramid

b)

Hexagonal Pyramid

c)

Octagonal Pyramid

d)

Cube

37.

What 3D solid does this net create?

a)

Triangular Pyramid

b)

Triangular Prism

c)

Square Pyramid

d)

Square Prism

38.

Which net will make a cube?

a)

Net A

b)

Net B

39.
Which net will make a square pyramid?
a)
Net A
b)
Net B
c)
Net C
40.
How many faces does the shape below have?
a)
2
b)
4
c)
6
d)
8
41.

How many bases are on this shape?

a)

1

b)

2

c)

3

d)

4

42.

How many faces are on this shape?

a)

1

b)

2

c)

4

d)

5

43.
How many vertices?
a)
0 vertices, 1 apex
b)
1
c)
2
d)
3
44.
Number of Faces?
a)
7
b)
5
c)
4
d)
15
45.
Number of Edges?
a)
7
b)
5
c)
10
d)
15
46.
Number of Vertices?
a)
7
b)
5
c)
10
d)
15
47.
Number of Faces?
a)
4
b)
5
c)
6
d)
7
48.
Number of vertices?
a)
4
b)
5
c)
6
d)
7
49.

Number of edges?

a)

18

b)

15

c)

12

d)

12

50.

Number of faces?

a)

15

b)

8

c)

6

d)

10

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