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Optional EC Practice - Unit 11 Practice Part A

Total questions: 70

Worksheet time: 3hrs 0mins

Name
Class
Date
1.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
2.

What 3-D solid is formed when this rectangle is rotated about the vertical line?

a)

Right, rectangular prism

b)

Right, circular cylinder

c)

Right, oval cylinder

d)

Right, square prism

3.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
4.

Which 2-D shape could be revolved about the vertical line to create the 3-D solid?

a)
b)
c)
d)
5.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
6.

The right triangle as shows is rotated 360°360\degree about the  y−axisy-axis in three dimensions. What is the 3-Dimensional solid resulting from the rotation?

a)

cone

b)

cylinder

c)

pyramid

d)

prism

7.
Describe the cross section.
a)
triangle
b)
rectangle
c)
trapezoid
d)
square
8.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)

A

b)

B

c)

C

d)

D

9.
Describe the cross section.
a)
trapezoid
b)
triangle
c)
rectangle
d)
square
10.

Name the solid that would be formed by rotating the shape about a given axis.

a)

Sphere

b)

Cone

c)

Cyliner

d)

Frustum

11.

What is the cross section depicted here?

a)

Square

b)

Triangle

c)

Pyramid

d)

plane

12.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)

A

b)

B

c)

C

d)

D

13.

Which of the following shows a TRAPEZOID cross-section?

a)
b)
c)
d)
14.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)
b)
c)
d)
15.

Which of the following shows a TRIANGLE cross-section?

a)
b)
c)
d)
16.

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

a)
b)
c)
d)
17.

Which of the following two dimensional cross sections are circles? Select all that apply.

a)

Any cross section of a sphere

b)

Horizontal cross section of a cube

c)

Cross section of a cone parallel to the base

d)

Cross section of a cone perpendicular to the base

e)

Cross section of a right cylinder parallel to its base

18.

Identify the cross section.

a)
b)
c)
d)
19.

1)

a)
b)
c)
d)
20.

2)

a)
b)
c)
d)
21.

3) Square JKLM is shown.

Which three-dimensional figure could result from rotating square JKLM 360o clockwise about the y-axis?

a)
b)
c)
d)
22.

Identify the 3D solid.

a)

cube

b)

square prism

c)

square pyramid

d)

triangular pyramid

23.
What is the name of this 3D solid?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Triangular Proton
d)
Square Base Triangle
24.
What 3D solid does this net create?
a)
Rectangular Prism
b)
Rectangular Pyramid
c)
Cube
d)
Square Prism
25.
What 3D solid does this net create?
a)
Triangular Prism
b)
Triangular Pyramid
c)
Rectangular Pyramid
d)
Square Prism
26.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Square Pyramid
d)
Square Prism
27.
What 3D solid does this net create?
a)
Triangular Pyramid
b)
Triangular Prism
c)
Hexagonal Pyramid
d)
Hexagonal Prism
28.

NAME THE SOLID

(a)  

29.

NAME THE SOLID

(a)  

30.

NAME THE SOLID

a)

RECTANGULAR BASE PYRAMID

b)

RECTANGULAR PRISM

c)

SQUARE BASE PYRAMID

31.

NAME THE SOLID

a)

TRIANGULARE PYRAMID

b)

TRIANGULAR PRISM

32.

WHICH OF THE FOLLOWING IS NOT A PRISM?

a)
b)
c)
d)
33.

Identify the solid.

a)

cylinder

b)

cone

c)

sphere

d)

pyramid

34.

What type of solid figure is seen here?

a)

cone

b)

cube

c)

sphere

d)

pyramid

35.

What type of solid figure is seen here?

a)

cube

b)

sphere

c)

pyramid

d)

cylinder

36.

What type of solid figure is seen here?

a)

rectangular prism

b)

cube

c)

pyramid

d)

cylinder

37.
How many faces?
a)
0
b)
6
c)
9
d)
3
38.

Euler's Formula is

a)

F + V - E = 2

b)

F + E - V = 2

c)

F - V + E = 2

d)

F + V + E = 2

39.

A polyhedron has 6 faces and 7 vertices. How many edges does it have?

a)

11

b)

14

c)

17

d)

25

40.
The Pythagorean Theorem ONLY works on which triangle? 
a)
obtuse
b)
scalene
c)
isosceles
d)
right
41.

Side c on a right triangle is ALWAYS the longest.

a)

true

b)

false

42.

Which side is the hypotenuse?

a)

9

b)

x

c)

14

43.

Which sides are the legs of the triangle?

a)

9 and 15

b)

9 and 12

c)

12 and 15

d)

15

44.

Which equation can be used to solve for "x"?

a)

152 – x2 = 212

b)

x2 – 152 = 212

c)

152 + 212 = x2

d)

212 – 152 = x2

45.

Determine the length of the missing side.

a)

7

b)

8

c)

17

d)

23

46.

The Pythagorean Theorem is ​ (a)   (b)   ​ (c)   ​ (d)   ​ ​ (e)  

Choose from the below words

a2a^2  

++  

b2b^2  

==  

c2c^2  

x2x^2  

−-  

×\times  

÷\div  

47.

What letter represents the hypotenuse?

a)

a

b)

b

c)

a and b

d)

c

48.
What is the final step in solving this work for c?
a2 + b2 = c2
32 + 42 = c2
9 + 16 = c2
25 = c2
a)
Divide both sides by 2
b)
Take the square root of both sides
49.

The Pythagorean Theorem is

a2 - b2 = c2

a)

false

b)

true

50.
Does the set of numbers represent a Pythagorean Triple.
4, 5, 6
a)
Yes
b)
No
51.
What is the measure of side c?
a)
7
b)
7/√2
c)
7√2
d)
14
52.
What is the measure of side b?
a)
5
b)
10√2
c)
5√2
d)
10√3
53.
What is the measure of a?
a)
3
b)
3√3
c)
6
d)
3√2
54.
What is the value of x?
a)
2
b)
18
c)
2√9
d)
9√2
55.

What is the surface area of this figure?

a)

200 cm 2

b)

800 cm 2

c)

400 cm 2

d)

100 cm 2

56.
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
57.
a)

575.3 cm

b)

287.6

c)

398.5

d)

604.1

58.
a)

F) 192

b)

G) 128

c)

H) 152

d)

J) 144

59.

Lateral Surface Area is...

a)

Each side of a figure including the bases

b)

Only the area of the sides of a figure

c)

Vertical Change

d)

Volume

60.

What is the lateral surface area of this retangular prism?

a)

800 cm 2

b)

800 cm 2

c)

35 cm 2

d)

600 cm 2

61.

What is the total surface area of this prism?

a)

360in2

b)

408n2

c)

36in2

d)

400.8in2

62.

How do you find the Surface Area of a Right Prism?

a)

12Pl +B\frac{1}{2}Pl\ +B

b)

Lateral Area + Area of Bases

c)

Perimeter * Height

d)

4πr24\pi r^2

63.

How do you find the Surface Area of a Regular Pyramid?

a)

12Pl + B\frac{1}{2}Pl\ +\ B

b)

Lateral Area + Area of Bases

c)

Perimeter * Height

d)

4πr24\pi r^2

64.

What is the "L" in the surface area formulas for pyramids and cones?

a)

lateral height

b)

height or altitude

c)

slant height

d)

sinusoidal height

65.

Find the lateral area of the figure.

a)

96 ft2

b)

192 ft2

c)

84 ft2

d)

108 ft2

66.

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

67.

Given a cylinder with a surface area of 2543 cm2 and radius of 9 cm, calculate the height of this cylinder to the nearest cm.

a)

36 cm

b)

45 cm

c)

10 cm

d)

283 cm

68.

Calculate the surface area.

a)

12 m2

b)

8 m2

c)

24 m2

d)

20 m2

69.

Calculate the surface area.

a)

65π cm2

b)

90π cm2

c)

85π cm2

d)

70π cm2

70.

What is the surface area of this composite figure?

a)

60π cm 2

b)

45π cm 2

c)

57π cm 2

d)

48π cm 2

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