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Worksheets10.1 Cross sections
Total questions: 53
Worksheet time: 55mins
Describe the cross section.
triangle
rectangle
trapezoid
square
How many faces, vertices, and edges do I have?
2 Faces
5 Edges
4 Vertices
3 Faces
5 Edges
4 Vertices
5 Faces
8 Edges
5 Vertices
3 Faces
6 Edges
3 Vertices
How many faces, vertices, and edges do I have? AND!!! What am I?
3 faces
2 edges
0 vertices
Rectangle
2 faces
1 edges
0 vertices
Cylinder
2 faces
0 edges
0 vertices
Soup
3 faces
2 edges
0 vertices
Cylinder
How many vertices does a pyramid have?
3
4
5
6
How many faces in this shape?
8
6
4
12
Which shape is 3D?
5 faces, 8 edges, 5 vertices
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?
If the rectangle below is continuously rotated about side w, which solid figure is formed?
pyramid
rectangular prism
cone
cylinder
Which object is formed when right triangle RST shown below is rotated around leg RS?
a pyramid with a square base
an isosceles triangle
a right triangle
a cone
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?
sphere
pyramid
right circular cylinder
cone
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?
cone
sphere
cylinder
hemisphere
If a rectangle is continuously rotated around one of its sides, what is the three-dimensional figure formed?
rectangular prism
cylinder
sphere
cone
If an equilateral triangle is continuously rotated around one of its medians, which 3-dimensional object is generated?
cone
pyramid
prism
sphere
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
cylinder with a diameter of 6
cylinder with a diameter of 12
cone with a diameter of 6
cone with a diameter of 12
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 right cone with a base diameter of 7 inches
a right cylinder with a diameter of 7 inches
a right cone with a base radius of 7 inches
a right cylinder with a radius of 7 inches
Which three-dimensional figure will result when a rectangle 6 inches long and 5 inches wide is continuously rotated about the longer side?
a rectangular prism with a length of 6 inches, width of 6 inches, and height of 5 inches
a rectangular prism with a length of 6 inches, width of 5 inches, and height of 5 inches
a cylinder with a radius of 5 inches and a height of 6 inches
a cylinder with a radius of 6 inches and a height of 5 inches
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?
32π
48π
96π
144π
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 150π . Which line could the rectangle be rotated around?
a long side
a short side
the vertical line of symmetry
the horizontal line of symmetry
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 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?
triangle
rectangle
pentagon
hexagon
A right cylinder is cut perpendicular to its base. The shape of the cross section is a
circle
cylinder
rectangle
triangular prism
The cross section of a regular pyramid contains the altitude of the pyramid. The shape of this cross section is a
circle
square
triangle
rectangle
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?
triangle
trapezoid
hexagon
rectangle
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?
cone
cylinder
pyramid
rectangular prism
Which figure(s) below can have a triangle as a two-dimensional cross section?
I. cone
II. cylinder
III. cube
IV. square pyramid
I, only
IV, only
I, II, and IV, only
I, III, and IV, only
Which figure can have the same cross section as a sphere?
William is drawing pictures of cross sections of the right circular cone below. Which drawing can not be a cross section of a cone?
