TEST NAME: Cross Sections of 3D Figures Practice
TEST ID: 570843
GRADE: 07
SUBJECT: Mathematics
TEST CATEGORY: My Classroom
Cross Sections of 3D Figures Practice
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Student: Class:
Date:
1.
Look at the pyramid. The pyramid is cut by a plane. The intersection of the plane and the
pyramid is a triangle. Which statement cannot be true about the plane? A.
The plane is parallel to the base of the pyramid.
B.
The plane is perpendicular to the base of the pyramid.
C.
The plane passes through two of the faces and the base of the
pyramid.
D.
The plane passes through two of the edges of the pyramid.
Cross Sections of 3D Figures Practice
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2.
A rectangular prism is built using 12 blocks with a base that is 3 blocks
by 2 blocks. A plane intersects the prism parallel to its base.
Which shows the view of the cross section?
A.
B.
C.
D.
Cross Sections of 3D Figures Practice
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3. A cylinder is sliced in half. The diagram shows how the solid is sliced.
What is the shape of the resulting cross section?
A.
rectangle
B.
triangle
C.
circle
D.
oval
Cross Sections of 3D Figures Practice
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4.
A plane will intersect the right rectangular prism below perpendicular to
the side it is resting on. The plane will form a cross section.
What is the area of the cross section?
A.
4.5 ft2
B.
9 ft2
C.
18 ft2
D.
36 ft2
Cross Sections of 3D Figures Practice
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5.
A plane intersects the right rectangular pyramid below parallel to its
base. The plane forms a cross section. What is the shape of the cross section?
A.
triangle
B.
trapezoid
C.
rectangle
D.
parallelogram
6.
A plane intersects a square pyramid through the vertex, perpendicular to
its base. What is the shape of the cross section?
A.
square
B.
triangle
C.
rhombus
7.
Which two­dimensional figure is formed when a right rectangular pyramid
is sliced by a plane through the pyramid's vertex and perpendicular to the
pyramid's base?
A.
a square
B.
a triangle
C.
a trapezoid
D.
a parallelogram
Cross Sections of 3D Figures Practice
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8.
A plane intersects a cube parallel to the base. The plane forms a cross
section. What two­dimensional figure is formed by the cross section?
A.
pentagon
B.
square
C.
triangle
D.
trapezoid
9.
The cube below is cut perpendicular to its base.
What two­dimensional shape is formed by the cross section?
A.
non­square rectangle
B.
trapezoid
C.
square
10.
A plane intersects a right rectangular prism perpendicular to its base. The
plane forms a cross section. What is the shape of the cross section?
A.
parallelogram, that is not a rectangle
B.
triangle, that is not equilateral
C.
trapezoid
D.
rectangle
Cross Sections of 3D Figures Practice
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11.
A plane intersects a cube at vertices F, G, and H. A two dimensional
shape is the result.
Which figure best represents the two­dimensional shape formed by the
intersection?
A.
square
B.
trapezoid
C.
isosceles triangle
D.
equilateral triangle
12.
A plane intersects a right rectangular prism perpendicular to its base. The
prism forms a cross section. What is the shape of the cross section?
A.
rectangle, that is not a square
B.
always a square
C.
trapezoid
D.
triangle
Cross Sections of 3D Figures Practice
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13.
Look at the square pyramid.
The pyramid is cut by two planes. They each are perpendicular to the
base of the pyramid, and both pass through the vertex of the pyramid.
Which statement best describes the shapes of the cross sections formed
by the intersections of the planes and the pyramid?
A.
They are congruent triangles.
B.
They are congruent trapezoids.
C.
They are triangles but not necessarily congruent.
D.
They are trapezoids but not necessarily congruent.
Cross Sections of 3D Figures Practice
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14.
A rectangular pyramid is cut perpendicular to its base and through a
vertex. Which shape is the view of the cross section?
A.
B.
C.
D.
15.
A pyramid with a square base is cut by a plane that is perpendicular to
the base of the pyramid and includes the apex of the pyramid.
Which shape is formed by the intersection of the plane and the pyramid?
A.
a pentagon
B.
a square
C.
a trapezoid
D.
a triangle
Cross Sections of 3D Figures Practice
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16.
A right rectangular prism with a square base is cut parallel to its base.
The shape exposed is a cross section. Which shape best describes this
cross section?
A.
triangle
B.
trapezoid
C.
square
D.
rectangle, that is not a square
17.
Which image results by slicing the pyramid perpendicular to the base and
through the vertex, as shown below?
A.
rectangle
B.
square
C.
trapezoid
D.
triangle
18.
A right rectangular prism is sliced by a plane. Which CANNOT be the
shape of the cross section formed by the slice?
A.
a parallelogram
B.
an octagon
C.
a trapezoid
D.
a triangle
Cross Sections of 3D Figures Practice
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19.
The figure below is cut perpendicular to its base.
What two­dimensional figure is formed by the cross section?
A.
parallelogram
B.
triangle
C.
rectangle
20.
The square pyramid below is intersected by plane A. The plane forms a
cross section. What is the shape of the cross section created by plane A?
A.
rhombus
B.
square
C.
trapezoid
D.
triangle
Cross Sections of 3D Figures Practice
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21. A pyramid with a square base is shown.
Which figure could result from slicing the pyramid as shown?
A.
cube
B.
circle
C.
square
D.
triangle
22.
The image below shows a plane slicing a cone. If the plane does not slice the base, which two­dimensional figures could
be the result from slicing a cone with a plane?
A.
a circle or an ellipse
B.
a triangle or a circle
C.
a triangle or a parallelogram
D.
an ellipse or a parallelogram
Cross Sections of 3D Figures Practice
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23.
A rectangular pyramid is cut parallel to its base. What is the shape of
the cross section?
A.
rectangle
B.
trapezoid
C.
triangle
24.
A plane intersects a rectangular pyramid parallel to the base. The plane
forms a cross­section. What is the shape of the cross­section?
A.
rectangle
B.
rhombus
C.
trapezoid
D.
triangle
25. A cylinder is shown.
Which figure could result from slicing the cylinder?
A.
circle
B.
triangle
C.
hexagon
D.
octagon
Cross Sections of 3D Figures Practice
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26.
Look at the pyramid.
Which list contains only shapes that are formed by a single slice through
the pyramid?
A.
triangle, hexagon, square
B.
triangle, rectangle, circle
C.
pentagon, square, trapezoid
D.
rectangle, trapezoid, ellipse
Cross Sections of 3D Figures Practice
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27.
A plane slices a right rectangular prism on a diagonal through two of the
vertices of the prism.
What is the shape of the cross section?
A.
triangle
B.
rhombus
C.
rectangle
D.
trapezoid
Cross Sections of 3D Figures Practice
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28.
A plane slices through a prism parallel to the bases to create a cross
section shaped like a right triangle.
If the prism stays in the same location, how could the plane be moved to
create a cross section shaped like a rectangle?
A.
move the plane so it slices through the prism perpendicular to the
bases
B.
move the plane so it slices through the prism intersecting the bases
at 45° angles
C.
move the plane up so it slices through the prism at a higher height
still parallel to the base
D.
move the plane down so it slices through the prism at a lower height
still parallel to the base
Cross Sections of 3D Figures Practice
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29.
Use the figure to answer the question below.
Which of these two­dimensional figures is formed when the given
pyramid is cut with a plane parallel to the base?
A.
square
B.
triangle
C.
pentagon
D.
quadrilateral with only one pair of parallel sides
30.
What two­dimensional shape would result from slicing through this right
rectangular prism from one edge to another?
A.
a square
B.
a triangle
C.
a rectangle
D.
a pentagon
Cross Sections of 3D Figures Practice
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Cross Sections of 3D Figures Practice
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