HonorsGeometry
1.
Chapter12TestReviewQuestions
Find the total surface area and volume of a cube in which the diagonal measures 6 2 yards.
2.
A right cylindrical hole of diameter 5 inches is drilled out of a cube with an edge of 7 inches. Find the
surface area and volume of the remaining figure.
Baroody
Page1of11
HonorsGeometry
3.
Chapter12TestReviewQuestions
Find the slant height and surface area of a right circular cone with a volume of 225π cubic
inches and a base circumference of 10π inches.
CBase = 10π
4.
Find the volume and total surface area of a regular square pyramid that has an edge height of 13 yards and a
side of the base of 10 yards.
5.
The volume of a sphere in cubic feet is numerically equal to four times its surface area in square feet.
What is the radius of the sphere?
Baroody
Page2of11
HonorsGeometry
6.
Chapter12TestReviewQuestions
Find the total surface area and volume of a regular tetrahedron if every edge measures 8 feet.
7.
A frustum of a right cone has a slant height of 6 feet. The radius of the bottom base is 12 feet and the radius
of the top base is 9 feet. Find the volume and total surface area of the frustum.
Baroody
Page3of11
HonorsGeometry
8.
Chapter12TestReviewQuestions
Find the volume and total surface area of the frustum shown
8
6
12
9.
Find the volume and the surface area. Measurements are in centimeters.
15
Baroody
Page4of11
HonorsGeometry
10.
Chapter12TestReviewQuestions
Find the volume and total surface area of a hemisphere with a 90° wedge cut out if the radius is 8 inches.
8
90°
11.
Find the radius of the base. The volume of the solid is
60°
Baroody
10985π
cm3.
9
Page5of11
HonorsGeometry
12.
Chapter12TestReviewQuestions
Find the volume. Measurements are in centimeters.
12
12
10
6
8
13.
Find the radius of the base. The volume of the cone is 1728! cm3.
36
r
Baroody
Page6of11
HonorsGeometry
14.
Chapter12TestReviewQuestions
Find the volume and total surface area of the solid shown below.
3 in
12 in
60°
15.
Identify the surface of rotation generated in the diagram below and compute its total surface area and
volume.
3
1
5
Baroody
Page7of11
HonorsGeometry
16.
Chapter12TestReviewQuestions
A right cylindrical log was cut parallel to the axis. Find the volume and the total surface area of the
piece shown.
30
10
60°
17.
A cylinder with diameter 6 mm is cut twice at a 45° angle as shown. Find the volume of this cylindrical solid.
If you're interested (I won't test you on this!), you can also find the surface area if you know that the ends of
the "cannoli" are ellipses.
4
6
45°
Baroody
45°
Page8of11
HonorsGeometry
18.
Chapter12TestReviewQuestions
Find the volume and surface area of a hexagonal prism with height 12 cm, and the length of one side of the
regular hexagonal base being 10 cm.
19.
A cube has a volume of 216 cm3. A corner is cut off as shown in the diagram. Find the volume of this
triangular pryamid and determine what fractional part of the cube it represents.
Baroody
Page9of11
HonorsGeometry
20.
Chapter12TestReviewQuestions
Each edge of the cube shown has a length of 6. The midpoint of each face of the cube is joined to form
an eight-sided regular octahedron. Find the volume of the octahedron.
21.
A "segment" of a grapefruit has diameter 12 cm and the flat faces form a 20° angle. Assuming the
grapefruit was spherical, what are the volume and surface area of the segment?
12
Baroody
Page10of11
HonorsGeometry
22.
Chapter12TestReviewQuestions
Find the volume and total surface area of the solid generated by rotating the figure below around the
dashed line. All dimensions are in centimeters.
10
6
Baroody
45°
Page11of11