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Worksheets

Volume and SA and Congruence

Total questions: 88

Worksheet time: 5hrs 30mins

Name
Class
Date
1.

To find the volume of a figure you need to use which of the following formulas?

a)

l x w

b)

l x w x h

c)

1/2 x b x h

d)

2l x 2w x 2h

2.
What is surface area?
a)
Inside of the object
b)
the sum of all theareas of all the shapes that cover the surface of the object.
c)
Something Mr. Strickland made up?
d)
Surface area is what you get when you boil unicorn tears. 
3.
Find the volume of the figure?
a)
4003 cm3
b)
336 cm3
c)
36 cm3
d)
412 cm3
4.
Find the volume of the figure?
a)
1100 in3
b)
1600 in3
c)
1200 in3
d)
1500 in3
5.
Find the volume of the figure?
a)
460 cm 3
b)
660 cm 3
c)
60 cm 3
d)
360 cm 3
6.
The volume of this CUBE is 64 cubed cm. What is the cube's height? * hint ---  l x w x h =64---- the shape is a CUBE
a)
6cm
b)
 4 cm
c)
64 cm
d)
 8903 cm 8
7.
What is the height of this figure?
a)
6 cm
b)
14 cm
c)
4 cm
d)
24 cm
8.
What is the SURFACE AREA of this figure? * hint the height of this CUBE is 3
a)
64 cm2
b)
54 cm2
c)
36 cm
9.
What is the surface area of this figure?
a)
200 cm 2
b)
800 cm 2
c)
400 cm 2
d)
100 cm 2
10.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
11.
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
12.

Find the volume of the figure.

a)

150 in³

b)

100 in³

c)

300 in³

d)

180 in³

13.
Find the volume of the figure.
a)
63 cm³
b)
91 cm³
c)
819 cm³
d)
409.5 cm³
14.

What is the Volume of the Square Pyramid?

a)

718.67 cm3

b)

2874.66 cm3

c)

2258.67 cm3

d)

1437.33 cm3

15.

What is the Surface Area of the figure?

a)

436 in2

b)

872 in2

c)

1308 in2

d)

1744 in2

16.

Find the surface area of the cylinder.

a)

100.53 square inches

b)

351.86 square inches

c)

251.33 square inches

d)

50.27 square inches

17.
a)
410 cm3
b)
420 cm3
c)
402 cm3
d)
401 cm3
18.
a)
546 m3
b)
456 m3
c)
654 m3
d)
54 m3
19.
What is the volume of this prism?
a)
7 cubic units
b)
4 cubic units
c)
6 cubic units
d)
It's impossible to find
20.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
21.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
22.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
23.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
24.
Find the Surface Area
a)
556 cm2
b)
278 cm2
c)
680 cm2
d)
340 cm2
25.
To find the follow you:
a)
Divide length x width  x  height 
b)
 length + width  +  height 
c)
 length x width  x  height 
26.
Find the Volume
a)
428.4 cm3
b)
412.8 cm3
c)
404.2 cm3
d)
400 cm3
27.
What is the volume of this prism?
a)
16 cubic cm
b)
36 cubic cm
c)
144 cubic cm
28.
Which units are NOT used for volume?
a)
cm3
b)
m3
c)
mm3
d)
km2
29.
Find the area
a)
8 ft2
b)
8 ft3
c)
4 ft2
d)
4 ft3
30.
Find the total surface . ?
a)
10.30cm2
b)
130cm3
c)
144cm2
d)
130cm2
31.
length=2
width=2
height=3
a)
Volume=12 cubic units
b)
Volume=7 cubic units
c)
Volume=223 cubic units
d)
Volume=18 cubic units
32.
A cereal box is 12cm tall.  The area of the base is 7cm.  What is the volume?
a)
84 cm2
b)
84 cm3
c)
83 cm
d)
84
33.
Find the volume of the figure. Round to the nearest whole number.
a)
1,944 cm³
b)
108 cm³
c)
972 cm³
d)
216 cm³
34.
Find the volume of the figure. Round to the nearest tenth.
a)
80 cm³
b)
40 cm²
c)
80 cm2
d)
40 cm³
35.
What is the volume of this triangular prism?
a)
576 cm3
b)
288 cm3
c)
333 cm3
d)
28 cm3
36.
The Toblerone candy come in a package like the triangular prism. The bases of the triangles are 2 inches with a height of 2.5 inches. The faces are 10 inches in length. 
What is the volume of the package? 
a)
25 cubic in.
b)
8 1/3 cubic in.
c)
50 cubic in.
d)
12.5 cubic in. 
37.
Find the volume of the prism.
a)
27 cm3
b)
72 cm3
c)
180 cm3
d)
360 cm3
38.
What is the surface area of this figure?
a)
3000 cm 2
b)
164 cm 2
c)
236 cm 2
d)
328 cm 2
39.
What is the total surface area of the triangular prism shown? 
a)
468 in2
b)
540 in2
c)
576 in2
d)
700 in2
40.
Find the total surface area of the prism.
a)
161 square feet
b)
1,700 square feet
c)
75 square feet
d)
186 square feet
41.

Find the surface area of the trapezoidal prism

Hint: Break into the two 3 shapes :)

a)

214.94 cm squared

b)

267.44 cm squared

c)

322.84 cm squared

d)

115.92 cm squared

42.
∆ABC≅∆XYZ
which is true?
a)
AB≅XY
b)
AB≅YX
c)
AB≅XZ
d)
BC≅CB
43.
∆PRQ≅∆SRT
a)
TRUE
b)
FALSE
44.
What does SSS stand for?
a)
Small Small Small
b)
Side Side Side
c)
Small Side Small
d)
Sam's Silly Side
45.
What does SSS prove?
a)
Nothing
b)
Triangles similar
c)
Triangles congruent
d)
Triangle angle sum
46.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
SSS
d)
Not Possible
47.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
48.
Are the two triangles congruent?
a)
Not enough information
b)
Yes, by SSA
c)
Yes by AAS
d)
Yes By ASA
49.
Are the triangles congruent, if yes, why?
a)
SSS
b)
SAS
c)
ASA
d)
Not Congruent
50.
Are the triangles congruent, if yes, why?
a)
SSS
b)
ASA
c)
AAA
d)
Not Congruent
51.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
52.
a)
Congruent by HL
b)
Congruent by SAS
c)
Congruent by SSS
d)
Not Necessarily Congruent
53.
State if the two triangles are congruent.  If they are, state which theorem you would use.
a)
Yes, SAS
b)
Yes, SSS
c)
Yes, HL
d)
No
54.

Given the two triangles, which congruence statement is NOT true?

a)

AB  DFAB\ \cong\ DF

b)

DE  ACDE\ \cong\ AC

c)

Δ ABC  ΔDFE\Delta\ ABC\ \cong\ \Delta DFE

d)

ΔABC Δ DEF\Delta ABC\ \cong\Delta\ DEF

55.

Given the two triangles, which statement is true by CPCTC?

a)

ACB   DFE\angle ACB\ \cong\ \angle\ DFE  

b)

 BAC   FDE\angle\ BAC\ \cong\ \angle\ FDE  

c)

CAB FED\angle CAB\ \cong\angle FED  

d)

ABC   DEF\angle ABC\ \cong\ \angle\ DEF  

56.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
57.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
58.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
ASA
c)
AAS
d)
Not Possible
59.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
60.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
AAS
d)
Not Possible
61.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
Not Possible
62.
The hypotenuse of a triangle is...
a)
Invisible
b)
A myth
c)
The side opposite the right angle in a right triangle
63.
Solve for x.
a)
x = 5 
b)
x = 20
c)
x = 3
d)
x = 9
64.
Is Angle-Angle-Angle (AAA), a valid rule for proving triangles congruent?
a)
No
b)
Sometimes
c)
Yes
d)
N/A
65.
Use the picture to answer the question.
a)
30
b)
60
c)
15
d)
120
66.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
HL
d)
Not Possible
67.
Name the postulate, if possible, that makes the triangles congruent.
a)
SAS
b)
ASA
c)
AAS
d)
Not Possible
68.
Name the postulate, if possible, that makes the triangles congruent.
a)
SSS
b)
SAS
c)
ASA
d)
AAS
69.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SSA

c)

Yes - SAS

d)

No - They are different triangles

70.

Are these triangles congruent?

a)

Yes - SSS

b)

Yes - AAA

c)

No - They are different

d)

Not enough information

71.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - SSS

c)

No, they are different

d)

Not enough information

72.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes - ASA

c)

Yes - SSS

d)

Not enough information

73.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SAS

c)

Yes - AAS

d)

Not enough information

74.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Yes - SAS

d)

No - they are different

75.

Are these triangles congruent?

a)

Yes - ASA

b)

Yes - SSS

c)

Yes - SAS

d)

No - they are not congruent

76.

Are these triangles congruent?

a)

Yes - AAA

b)

Yes - ASA

c)

Not enough information

d)

Yes - SAS

77.

Are these triangles congruent?

a)

Yes - SAS

b)

Yes- RHS

c)

Yes - ASA

d)

Yes - AAS

78.

Are these triangles congruent?

a)

Yes - RHS

b)

Yes - SAS

c)

Yes - ASA

d)

Not enough information

79.

How many degrees are in a right angle?

a)


30°30\degree

b)

90°90\degree

c)

60°60\degree

d)

Not enough information

80.

What kind of triangle is this?

a)

SAS

b)

SSA

c)

Right Triangle

d)

SSS

81.

What do we call A? (hint: there is more than one answer, click all that are true)

a)

Side

b)

Angle

c)

Leg

d)

Hypotenuse

82.

What do we call b? (hint: there can be more than one answer, click all that are true)

a)

Side

b)

Angle

c)

Leg

d)

Hypotenuse

83.

What do we call c? (select all that are true)

a)

Angle

b)

Leg

c)

90°90\degree

d)

Hypotenuse

84.

Which is not a test for congruence?

a)

AAS

b)

SSS

c)

AAA

d)

SAS

85.

Which one of these has an included side?

a)

ASA

b)

SAS

c)

AAS

d)

RHS

86.

Which rule would you use to find out if these are congruent? (fill in the blank)

(a)  

87.

What would you name this triangle? (click all that are true)

a)

ΔABC\Delta ABC  

b)

ΔBAC\Delta BAC  

c)

ABC\angle ABC  

d)

AB

88.

What is the symbol for congruent?

a)

==

b)

\perp

c)

\angle

d)

\cong