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10.1 Cross sections

Total questions: 53

Worksheet time: 55mins

Name
Class
Date
1.
Name the shape
a)
Circle
b)
Sphere
c)
Cone
d)
Cylinder
2.
Name the shape
a)
Cylinder
b)
Cube
c)
Rectangular Pryamid
d)
Sphere
3.
What shape will the angled cross-section of a rectangular pyramid be?
a)
Triangle
b)
Rectangle
c)
Trapezoid
d)
Square
4.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
5.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
6.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
7.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
8.
Describe the cross section.
a)
trapezoid
b)
triangle
c)
rectangle
d)
square
9.
Describe the cross section.
a)
rectangle
b)
trapezoid
c)
oval
d)
parallelogram
10.
Describe the cross section.
a)
rectangle
b)
square
c)
parallelogram
d)
circle
11.
Describe the cross section.
a)
triangle
b)
rectangle
c)
oval
d)
trapezoid
12.
Is it possible for a cross section of a cylinder to have a triangular shape?
a)
yes
b)
no
c)
sometimes
13.
What cross-section is formed by slicing through a cube perpendicular to any face?
a)
rectangle
b)
square
c)
parallelogram
d)
triangle
14.
What cross-section is formed by slicing through a cube parallel to any face?
a)
rectangle
b)
parallelogram
c)
square
d)
triangle
15.
What shape will the horizontal cross-section of a cone be?
a)
Dome
b)
Circle
c)
Pyramid
d)
Triangle
16.
What shape will the vertical cross -section of a cylinder be?
a)
Circle
b)
Triangle
c)
Rectangle
d)
Ellipse
17.
What shape will the vertical cross-section of a cube be?
a)
Square
b)
Triangle
c)
Trapezoid
d)
Circle
18.
What shape will the horizontal cross-section of a sphere be?
a)
Dome
b)
Circle
c)
Ellipse
d)
Rectangle
19.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
20.
What shape does this cross section make?
a)
Rectangle
b)
Circle
c)
Triangle
d)
Square
21.

Describe the cross section.

a)

triangle

b)

rectangle

c)

trapezoid

d)

square

22.
Describe the cross section.
a)
rectangle
b)
square
c)
oval
d)
circle
23.
Describe the cross section.
a)
circle
b)
oval
c)
semi-circle
d)
trapezoid
24.
Describe the cross section.
a)
trapezoid
b)
triangle
c)
rectangle
d)
square
25.

How many faces, vertices, and edges do I have?

a)

2 Faces

5 Edges

4 Vertices

b)

3 Faces

5 Edges

4 Vertices

c)

5 Faces

8 Edges

5 Vertices

d)

3 Faces

6 Edges

3 Vertices

26.

How many faces, vertices, and edges do I have? AND!!! What am I?

a)

3 faces

2 edges

0 vertices

Rectangle

b)

2 faces

1 edges

0 vertices

Cylinder

c)

2 faces

0 edges

0 vertices

Soup

d)

3 faces

2 edges

0 vertices

Cylinder

27.

How many vertices does a pyramid have?

a)

3

b)

4

c)

5

d)

6

28.

How many faces in this shape?

a)

8

b)

6

c)

4

d)

12

29.
The arrow is pointing to a ________.
a)
Edge
b)
Vertice
c)
Face
30.
What is this shape?
a)
cone
b)
cube
c)
pyramid
d)
sphere
31.

Which shape is 3D?

a)
b)
c)
d)
32.

5 faces, 8 edges, 5 vertices

a)
b)
c)
33.

A student has a rectangular postcard that he folds in half lengthwise.  Next, he rotates it continuously about the folded edge.  Which three-dimensional object below is generated by this rotation?

a)
b)
c)
d)
34.

If the rectangle below is continuously rotated about side w, which solid figure is formed?

 

a)

pyramid

b)

rectangular prism

c)

cone

d)

cylinder

35.

Which object is formed when right triangle RST shown below is rotated around leg RS?

a)

a pyramid with a square base

b)

an isosceles triangle

c)

a right triangle

d)

a cone

36.

Triangle ABC represents a metal flag on pole AD, as shown in the accompanying diagram. On a windy day the triangle spins around the pole so fast that it looks like a three-dimensional shape.

 

 

Which shape would the spinning flag create?

a)

sphere

b)

pyramid

c)

right circular cylinder

d)

cone

37.

Circle O is centered at the origin.  In the diagram below, a quarter of circle O is graphed. Which three-dimensional figure is generated when the quarter circle is continuously rotated about the y-axis?

a)

cone

b)

sphere

c)

cylinder

d)

hemisphere

38.

If a rectangle is continuously rotated around one of its sides, what is the three-dimensional figure formed?

a)

rectangular prism

b)

cylinder

c)

sphere

d)

cone

39.

If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?

a)

cone

b)

pyramid

c)

prism

d)

sphere

40.

An isosceles right triangle whose legs measure 6 is continuously rotated about one of its legs to form a three-dimensional object.  The three-dimensional object is a

a)

cylinder with a diameter of 6

b)

cylinder with a diameter of 12

c)

cone with a diameter of 6

d)

cone with a diameter of 12

41.

Square MATH has a side length of 7 inches.  Which three-dimensional object will be formed by continuously rotating square MATH around side AT ?

a)

a right cone with a base diameter of 7 inches

b)

a right cylinder with a diameter of 7 inches

c)

a right cone with a base radius of 7 inches

d)

a right cylinder with a radius of 7 inches

42.

Which three-dimensional figure will result when a rectangle 6 inches long and 5 inches wide is continuously rotated about the longer side?

a)

a rectangular prism with a length of 6 inches, width of 6 inches, and height of 5 inches

b)

a rectangular prism with a length of 6 inches, width of 5 inches, and height of 5 inches

c)

a cylinder with a radius of 5 inches and a height of 6 inches

d)

a cylinder with a radius of 6 inches and a height of 5 inches

43.

In the diagram below, right triangle ABC has legs whose lengths are 4 and 6.What is the volume of the three-dimensional object formed by continuously rotating the right triangle around AB?

a)

32π32\pi  

b)

48π48\pi  

c)

96π96\pi  

d)

144π144\pi  

44.

A rectangle whose length and width are 10 and 6, respectively, is shown below.  The rectangle is continuously rotated around a straight line to form an object whose volume is 150π150\pi   . Which line could the rectangle be rotated around?

a)

a long side

b)

a short side

c)

the vertical line of symmetry

d)

the horizontal line of symmetry

45.

Triangle ABC, with vertices at ,A(0,0) B(3,5) C(0,5), and , is graphed on the set of axes shown below. Which figure is formed when  is rotated continuously about BC?

a)
b)
c)
d)
46.

A right hexagonal prism is shown below.  A two-dimensional cross section that is perpendicular to the base is taken from the prism. Which figure describes the two-dimensional cross section?

a)

triangle

b)

rectangle

c)

pentagon

d)

hexagon

47.

A right cylinder is cut perpendicular to its base.  The shape of the cross section is a

a)

circle

b)

cylinder

c)

rectangle

d)

triangular prism

48.

The cross section of a regular pyramid contains the altitude of the pyramid.  The shape of this cross section is a

a)

circle

b)

square

c)

triangle

d)

rectangle

49.

A plane intersects a hexagonal prism.  The plane is perpendicular to the base of the prism.  Which two-dimensional figure is the cross section of the plane intersecting the prism?

a)

triangle

b)

trapezoid

c)

hexagon

d)

rectangle

50.

A two-dimensional cross section is taken of a three-dimensional object.  If this cross section is a triangle, what can not be the three-dimensional object?

a)

cone

b)

cylinder

c)

pyramid

d)

rectangular prism

51.

Which figure(s) below can have a triangle as a two-dimensional cross section?

         I.       cone

         II.     cylinder

         III.    cube

         IV.    square pyramid

a)

I, only

b)

IV, only

c)

I, II, and IV, only

d)

I, III, and IV, only

52.

Which figure can have the same cross section as a sphere?

a)
b)
c)
d)
53.

William is drawing pictures of cross sections of the right circular cone below. Which drawing can not be a cross section of a cone?

a)
b)
c)
d)