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Geometry 2 and 3 dimensions blizzard bag 2014 - 2015
1. An image of a display cabinet is shown below. The display area is a rectangular prism. If the
cabinet is sliced horizontally near the center, which image best represents the cross-section
parallel to the slice?
W.
A. W
B. X
C. Z
D. Y
X.
Y.
Z.
2. A pyramid, without the capstone, is shown below. If the figure is sliced vertically, which
figure best represents the cross-section parallel to the slice?
A. trapezoid
B. triangle
C. square
D. rectangle
3.
If the image above is rotated about the x-axis, which of the following images best represents
the result?
A. X
W.
X.
Y.
Z.
B. Y
C. Z
D. W
4.
If the image above is rotated about the y-axis, which of the following images best represents
the result?
A. Z
B. X
C. W
D. Y
W.
X.
Y.
Z.
5. An image of a birdhouse is shown below. If the birdhouse is sliced vertically, along the length
of the apex, which image best represents the cross-section parallel to the slice?
W.
A. X
B. Z
C. Y
D. W
X.
Y.
Z.
6. In the square pyramid below, the side, s, is 3 m, and the height, h, is 9 m. What is the volume
of the pyramid?
Note: Figure not drawn to scale.
A.
B.
C.
D.
7. In the rectangular pyramid below, the length, l, is 3 ft, the width, w, is 7 ft, and the height, h,
is 10 ft. What is the volume of the pyramid?
Note: Figure not drawn to scale.
A.
B.
C.
D.
8. In the cylinder below, the radius, r, is 6 m, and the volume is 324
of the cylinder?
m3. What is the altitude
A. 9 m
B. 15 m
C. 4.5 m
D. 18 m
9. A cube is sliced on one of its diagonals, as shown below. Which figure best represents the
cross-section parallel to the slice?
A. trapezoid
B. rectangle
C. triangle
D. square
10. A cone is sliced horizontally with a plane parallel to the base, as shown below. Which figure
best represents the cross-section parallel to the slice?
A. triangle
B. rectangle
C. circle
D. trapezoid
11. A hexagonal-based prism is sliced horizontal to the base. Which figure best represents the
cross-section parallel to the slice?
A. rectangle
B. triangle
C. square
D. hexagon
12. An image of a tennis trophy is shown below. The base is a rectangular prism. The top piece
is spherical, tangential to the base, and centered atop the base. If the trophy is sliced vertically
top to bottom, which image best represents the cross-section parallel to the slice?
W.
A. Y
B. Z
C. X
D. W
X.
Y.
Z.