NAME
DATE
1-7
PERIOD
Word Problem Practice
1. KEPLER For some time, Johannes
Kepler thought that the Platonic solids
were related to the orbits of the planets.
He made models of each of the Platonic
solids. He made a frame of each of the
platonic solids by fashioning together
wooden edges. How many wooden edges
did Kepler have to make for the cube?
4. ALGAE Ronald owns a fish tank in
the shape of a rectangular box. The tank
is 18 inches high, 14 inches deep, and
30 inches long. Ronald went on a onemonth vacation. When he returned he
found that the sides and bottom of his
fish tank were covered with algae. What
is the area that was covered?
2. OCTAGONAL BUILDINGS Thomas
Jefferson built an octagonal building in
1805 in Virginia. In fact, the building is
roughly shaped like a regular octagonal
prism. Complete the following table.
5. SILO A silo is shaped like a cylinder
with a cone on top. The radii of the
bases of the cylinder and cone are both
equal to 8 feet. The height of the
cylindrical part is 25 feet and the height
of the cone is 6 feet.
Attributes of a Regular Octagonal Prism
No. of Vertices
No. of Edges
Copyright © Glencoe/McGraw-Hill, a division of The McGraw-Hill Companies, Inc.
No. of Faces
3. TRASH CANS A cylindrical trash can
is 30 inches high and has a base radius
of 7 inches. What is the outside surface
area of this trash can, including the top
of the lid? Round your answer to the
nearest square inch.
a. What is the volume of the cylindrical
part of the silo? Round your answer
to the nearest cubic foot.
b. What is the volume of the conical
part of the silo? Round your answer
to the nearest cubic foot.
30 in.
c. What is the volume of the entire silo?
Round your answer to the nearest
cubic foot.
7 in.
Chapter 1
47
Glencoe Geometry
Lesson 1-7
Three-Dimensional Figures