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Worksheets

Volume

Total questions: 67

Worksheet time: 3hrs 24mins

Name
Class
Date
1.

Match the following shapes to the correct area formulas

a)
1.

A = 1/2bh

b)
2.

A=bh

Rectangle

c)
3.

A=1/2(b1+b2)h

d)
4.

A=bh

Square

e)
5.

A=bh

Parallelogram

2.
Question Image

Match the following

a)

60 square mm

1.

Area of parallelogram

b)

44 square mm

2.

Area of trapezoid

c)

104 square mm

3.

Area of composite figure

d)

a figure composed of two or more two-dimensional figures

4.

composite figure

e)

the number of square units a figure covers

5.

area

3.

Match the following

a)
1.

A= πr2\pi r^2

b)
2.

A= 12\frac{1}{2} πr2\pi r^2

c)
3.

A= 14πr2\frac{1}{4}\pi r^2

d)
4.

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

4.

Match the following

a)
1.

Pyramid: A 3D figure in which the lateral faces are triangles.

b)
2.

Prism: A 3D figure that has congruent bases and all the lateral faces parallelogram.

c)
3.

Dimension: A measurement of length in one direction.

d)
4.

Rectangular Prism: A prism with two identical rectangular bases.

e)
5.

Net: A 2D model when folded makes a 3D figure.

5.

These shapes have only length and width . They can be drawn on a piece of paper and include  squares, rectangles, triangles, and parallelograms.

a)

2 Dimensional (2D)

b)

3 Dimensional (3D)

c)

1 Dimensional (1D)

d)

4 Dimensional (4D)

6.

Each flat side of a polyhedron is called a ________________________. For example, a cube has six of these. 

a)

vertex

b)

face

c)

angle

d)

edge

7.

Is Volume.......

a)
Filling in a 3 dimensional shape 
b)
wrapping the outside of a 3 dimensional shape
8.

Total surface area is the same thing as​ (a)  

Choose from the below words
Surface area
Lateral Surface area
9.

The volume of the prism is how many times larger than than that of the pyramid?

a)

6

b)

4

c)

3

d)

2

10.

If the volume of the Pyramid is 48m cubed. I need to (a)   by ​ (b)   to get to the volume of the Rectangular Prism​

Choose from the below words
multiply
Divide
3
4
11.

Select the best estimate of the area of the figure?

a)

150 in2150\ in^2

b)

14 in214\ in^2

c)

36 in236\ in^2

d)

50 in250\ in^2

12.
What is the radius of this circle?
a)
12cm
b)
6cm
c)
24cm
d)
3cm
13.

Does this picture show the diameter or radius of a circle?

a)

Diameter

b)

Radius

14.
If you are given the diameter, how can you calculate the radius?
a)
Multiply the diameter by 2
b)
Divide the diameter by 2
c)
Add 2 to the diameter
d)
Subtract 2 from the diameter
15.
What is circumference?
a)
The distance around a circle.
b)
The space inside the circle.
c)
A line from side to side passing through the center.
d)
A line from the center to the side.
16.
To find the area of a composite figure you must break the irregular figure into common shapes then find the area of each shape and 
a)
subtract them
b)
add them together
c)
multiply them
d)
divide them
17.

Which 3D Figures make up the following composite solid.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

18.

Which 3D Figures make up the following composite solid.

a)

Cone

b)

Cylinder

c)

Pyramid

d)

Rectangular Prism

19.

Find the volume of the rectangular prism with dimensions 6 in. by 3 in. by 5 in. (inches).

a)

126 in3

b)

105 in3

c)

90 in3

d)

96 in3

20.
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
21.

Find the volume of the pyramid.

a)

1760 in3

b)

34 in3

c)

586.67 in3

d)

880 in3

22.
Which label would NOT be appropriate for volume.
a)
square miles
b)
inches3
c)
cm3
d)
cubic feet
23.
Find the volume of the figure.
a)
1,800 cm³
b)
900 cm³
c)
600 cm³
d)
750 cm³
24.
What 3-D shape is this?
a)
Rectangular Pyramid
b)
Rectangular Prism
c)
Triangular Pyramid
d)
Triangular Prism
25.
What is this 3D shape called?
a)
triangular prism
b)
rectangle
c)
rectangular prism
d)
square
26.
Find the volume.
a)
147
b)
588
c)
84
d)
294
27.
When calculating the volume of the figure, to find the area of the base you should use...
a)
A=bh
b)
A=2πr
c)
A=πr2
d)
A=r2
28.
When calculating the surface area of the figure, to find the area of the base you should use...
a)
A=bh
b)
A=1/2bh
c)
A=πr2
d)
A=r2
29.
What is the formula used to find the volume of a rectangular prism?
a)
V = Lw
b)
V = Lwh
c)
V = 1/2bh
d)
V = 2∏r
30.
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
31.

Is this a Prism?

a)

No

b)

Yes

32.

What is the area of the base?

a)

44 ft 2

b)

22 ft 2

c)

66 ft 2

d)

132 ft 2

33.

Find the area of the base (bottom) of this figure.

a)

63 cm2

b)

60 cm2

c)

90 cm2

d)

9 cm2

34.
Find the volume of the figure.
a)
210 in3
b)
260 in3
c)
2160 in3
d)
2610 in3
35.

Find the volume.

36.

What is the volume of this prism?

a)

18 cubic cm

b)

6 cubic cm

c)

9 cubic cm

37.
What is the volume of this prism?
a)

20 cubic feet

b)

8 cubic feet

c)

40 cubic feet

38.

Lucia has a triangular prism that has a length of 6 cm, a width of 4 cm, and a height of 8cm. What is the volume?

a)

96cm³

b)

54cm³

c)

80cm³

d)

24cm³

39.

Find the volume.

a)

18 m3

b)

20 m3

c)

16 m3

d)

22 m3

40.

Calculate the area:

a)

124 m2

b)

98 m2

c)

96 m2

d)

192 m2

41.

Find the area of the figure.

(a)  

42.

Match the following

a)

Area =

25 sq units

1.

Square with a side of 5 units.

b)

Area =

50 sq units

2.

Rectangle with a length of 10 units and a width half that amount.

c)

Area =

18 sq units

3.

Parallelogram with a height of 3 units and a base twice that amount.

43.

Find the area of the parallelogram above

a)

14.5 ft2

b)

48.5 ft2

c)

52 ft2

d)

7.3 ft2

44.
Find the area of this triangle.
a)
150 ft2
b)
100 ft2
c)
50 ft2
d)
35 ft2
45.
To find the area of a triangle, simply multiply the base and the height. 
a)
True
b)
False
46.
Multiplying by 1/2 is the same as _________.
a)
Multiplying by 2
b)
Adding by 2
c)
Dividing by 2
d)
Subtracting by 2
47.
how do you find area the of a triangle
a)
A=bh
b)
A=1/2h(b+b)
c)
A=1/2bh
48.
What is the area of this trapezoid?
a)
16cm 2
b)
24cm2
c)
16 cm
d)
13cm 2
49.

Find the area of the trapezoid in square yards.

a)

59.5

b)

119

c)

71.5

d)

40

50.
Area of triangle?
a)
17 units2
b)
20 units2
c)
10 units2
d)
16 units2
51.
Find the volume of the Sphere
a)
78.5 m3
b)
392.5 m3
c)
523.6 m3
d)
62.8 cm3
52.
Find the volume of this sphere.
a)
113 m³
b)
10.6 m³
c)
9.4 m³
d)
14.1 m³
53.
Find the Volume of the Sphere
a)
904.32 ft3
b)
7,234.56 ft3
c)
150.72 ft3
54.
The formula for the Volume of ...
a)
Spheres
b)
Cones
c)
Cylinders
55.

What is the height of the cylinder?

a)

10 cm

b)

5 cm

c)

12 cm

d)

6 cm

56.

What represents the volume of the given cylinder? 


V = πr2hV\ =\ \pi r^2h  

a)

π×102×5 \pi\times10^2\times5\

b)

π×10×12  \pi\times10\times12\ \

c)

π×52×12\pi\times5^2\times12

57.
What is this formula used to find?
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
58.
What is this formula used to find?
V=1/3πr2h
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
59.
What is this formula used to find?
V=4/3πr3
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
60.
What is this formula used to find?
A=πr2
a)
The volume of a cylinder
b)
The volume of a cone
c)
The volume of a sphere
d)
The area of a circle
61.

Find the volume of the cone shown. Leave your answer in terms of pi.

a)

720π

b)

240π

c)

2880π

d)

960π

62.
 Find the volume of the Cylinder
a)
7230
b)
6621
c)
1130
d)
907
63.

720\frac{7}{20}  Convert the fraction to its equivalent percent



(a)  

64.

What percent of the circle is shaded? (round to the nearest percent)

a)

100%

b)

33%

c)

67%

d)

45%

65.

Rewrite the given fractions as equivalent fractions given the indicated denominator.

37=?21\frac{3}{7}=\frac{?}{21}  

(a)  

66.

Rewrite the given fractions as equivalent fractions given the indicated denominator.

?9=1418\frac{?}{9}=\frac{14}{18}  

(a)  

67.

Match the following

a)

1/2

1.

12/24

b)

1/4

2.

3/12

c)

2/3

3.

18/27

d)

3/4

4.

15/20

e)

4/5

5.

12/15