GMD.4
Student Name:
_______________________
Teacher Name: Patricia Adams
_________
Score: _________
Date:
1)
The diagram shown is a cube. If a plane slices horizontally through the solid, what is the shape of the crosssection?
A) kite
C) square
B) oval
D) trapezoid
2)
Given: AB is the height of the cone.
A plane, parallel to the base of a cone intersects the cone at the midpoint between points A and B. Determine
the area of the cross-section formed by the intersection of the plane and the cone.
A) 4.71 in2
C) 9.42 in2
B) 7.07 in2
D) 13.24 in2
3)
Given: AB is the height of the cone.
A plane, parallel to the base of a cone intersects the cone at the midpoint between points A and B. Determine
the area of the cross-section formed by the intersection of the plane and the cone. Leave your answer in terms
of pi.
A)
1.5π in2
C)
9π in2
B)
3π in2
D)
36π in2
4)
A plane slices horizontally through a sphere dividing it into two hemispheres. Which term best describes the
cross-section of the plane and the sphere?
A) circle
C) oval
B) cylinder
D) triangle
5)
A plane slices diagonally through a rectangular prism as shown. Which term best describes the cross-section
formed by the intersection of the plane and the prism?
A) kite
C) square
B)
rectangle
D)
trapezoid
6)
The blue plane cuts the red cone as shown. The cross-section of the plane and the cone can best be described as
A) a circle.
C) a parabola.
B)
an ellipse.
D)
a hyperbola.
7)
A sphere of diameter 10 inches is cut by a plane which passes through its center. Find the area of the crosssection, leaving the answer in terms of π.
A)
10π in2
C)
50π in2
B)
25π in2
D)
96π in2
8)
A cone is cut by a plane as shown, parallel to the base. The cross-section of the cone and the plane is
A) a circle.
C) a parabola.
B) a cycloid.
D) a hyperbola.
9)
Two cones are cut by a plane as shown, where the plane is perpendicular to the bases. The cross-section of the
cones and the plane is
A) a circle.
C) a parabola.
B) an ellipse.
D) a hyperbola.
10)
A cone is cut by a plane as shown, where the plane is not parallel to the base. The cross-section of the cone and
the plane is
A) a circle.
C) a parabola.
B) an ellipse.
D) a hyperbola.
11)
A cone is cut by a plane as shown, where the plane is not perpendicular to the base. The cross-section of the
cone and the plane is
A) a circle.
C) a parabola.
B)
an ellipse.
D)
a hyperbola.
12)
A sphere of diameter D inches is cut by a plane which passes through its center. Find the area of the crosssection, leaving the answer in terms of π.
πD
A)
4
in2
πD2
C)
πD
B)
2
in2
4
in2
πD2
D)
2
in2
13)
The drawing represents
A) the intersection of a plane and a cone.
B) the intersection of a plane and a prism.
14)
C)
D)
the intersection of a plane and a sphere.
the intersection of a plane and a cylinder.
A plane slices horizontally through a cone as shown, which term best describes the cross-section?
A) circle
C) rhombus
B) rectangle
D) triangle
15)
A plane intersects a rectangular prism as shown. Describe the cross-section.
A)
circle
C)
trapezoid
B)
rectangle
D)
triangle
16)
A plane intersects a rectangular prism as shown. Describe the cross-section.
A) circle
C) trapezoid
B) rectangle
D) triangle
17)
A plane intersects a rectangular pyramid horizontally as shown. Describe the cross-section.
A) circle
C) trapezoid
B) rectangle
D) triangle
18)
A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A) pentagon
C) trapezoid
B)
rectangle
D)
triangle
19)
A plane intersects a triangular prism vertically as shown. Describe the cross-section shown here.
A) pentagon
C) trapezoid
B) rectangle
D) triangle
20) A plane cuts parallel to one side of a cone. What shape is formed by this intersection?
A) circle
C) hyperbola
B) ellipse
D) parabola
21) A plane cuts through a cone parallel to its base. What shape is formed by this intersection?
A) circle
C) hyperbola
B) ellipse
D) parabola
22) A plane cuts through a cone perpendicular to the base of the cone. What shape is formed by this
intersection?
A) circle
C) hyperbola
B) ellipse
D) parabola
23) A plane perpendicular to the base of a cone passes through the apex. Which shape is formed by the
intersection?
A) circle
C) parabola
B) ellipse
D) line
24)
The base and side view of a 3-dimensional figure is shown. What is MOST LIKELY the 3-dimensional figure?
A) square prism
C) triangular prism
B) square pyramid
D) triangular pyramid
25)
If the circle shown is rotated and traced 360° along the dotted path, the resulting three-dimensional figure
would look like a picture of a
A) soda can.
C) megaphone.
B)
doughnut.
D)
basketball.
26)
If this circle is rotated around the vertical line shown, what three-dimensional figure will be formed?
A) cone
C) cylinder
B) cube
D) sphere
27)
This cylinder is cut by the plane shown. The plane is parallel to the base of the cylinder. What is the shape of
the cross-section?
A) circle.
C) rectangle.
B)
parallelogram.
D)
square.
28)
This cylinder is cut by the plane shown. The plane is perpendicular to the base of the cylinder. What is the
shape of the cross-section?
A) circle.
C) rectangle.
B) parallelogram.
D) square.
29)
This pyramid is cut by the plane shown. The plane is parallel to the base of the square pyramid. What is the
shape of the cross-section?
A) rectangle.
C) square.
B)
rhombus.
D)
triangle.
30)
This prism is cut by the plane shown. The plane is parallel to the base of the prism. What is the shape of the
cross-section?
A) hexagon.
C) rhombus.
B)
rectangle.
D)
triangle.
31)
This pentagonal prism is cut by the plane shown. The plane is parallel to the base of the pentagonal prism.
What is the shape of the cross-section?
A) hexagon.
C) rectangle.
B) pentagon.
D) triangle.
32)
This rectangular prism is cut by the plane shown. The plane is perpendicular to the base of the rectangular
prism. What is the shape of the cross-section?
A) rectangle.
C) square.
B) rhombus.
D) trapezoid.
33) In space, the intersection of a line and a plane is
A) not possible.
C) a line or a plane.
B) a point or a line.
D) a point or a plane.
34) In space, the intersection of two planes is
A) not possible.
C) a line or a plane.