Answer the following
questions dealing with solids.
Grab your calculator.

Answers use
=
3.141592654, the full calculator entry on the TI-83+/84+.

1.

Soda
is sold in aluminum cans that measure 6 inches in height
and 2 inches in diameter. How many cubic inches of soda are contained in a full can?
(Round answer to the
nearest tenth of a cubic inch.)

Choose:

2.

Pine
bark mulch 6 inches deep is to be spread in each of the
beds shown above. Mulch is sold by the cubic
yard. To the nearestcubic yard, how
much mulch will need to be purchased.

Choose:

3.

Ed
works for an environmental protection agency which deals
with land areas that have been contaminated by toxic
waste. The contaminated
soil covers an area of 1.62 acres. Ed must remove the top
18 inches of soil in this area.

a. What
is the area of contaminated soil in square yards?

Choose:
a.

b.
c.

b.
What is the total volume of the contaminated soil in
cubic yards?

c. If
each truck can haul 10 cubic yards of soil, how many
full truckloads of contaminated soil will Ed be removing?

4.

A
company manufactures large dice for children's games.
The dice are cubes with one side measuring 1.2 inch in
length. The dice are formed when a liquid plastic in
is poured into a mold of the die. The company uses
trays that contain one dozen die molds in each tray.
If the liquid plastic is measured in cubic inches, how much
liquid plastic is needed to fill one tray?
(Round answer to the nearest tenth of a cubic
inch)

Choose:

5.

Extra
Challenging

A
pharmacist is filling medicine capsules. The
capsules are cylinders with half spheres on each
end. If the length of the cylinder is 12 mm
and the radius is
2 mm, how many cubic mm of
medication can one capsule hold?
(Round answer to the nearest tenth of a cubic mm.)

Choose:

6.

a.
Find the volume,
to the nearest tenth of a cubic foot,
of
this container

b.
Find the surface area, to the nearest tenth of a square
foot, of this container assuming it has a closed top
and bottom.

Choose:

a.

b.

7.

Find
the surface area of this container assuming it has an open
top. The bottom is closed.
(Round answer to the nearest tenth of a
sq. cm.)

Choose:

8.

A
box needs to be covered in brown paper for mailing. If
the box measures 3 feet by 3 feet by 2 feet, what is the
surface area of the box that will need to be covered? The box is closed.

Choose:

9.

When buying a room air
conditioner, it is important to purchase a unit that is
neither too big nor too small for the room. If the
unit is too large, it will cool too quickly and will not
remove humidity from the air, thus wasting money and energy.
If the unit is too small, it will run continually without
ever cooling to the desired temperature, again wasting
energy and money.

a.)
Find the total cubic feet of living space for
the bedroom below. The ceiling is 7 feet high.

b.) Which
of these 3 air conditioning models would be the best purchase for
this bedroom?
Model A: for rooms 900 to 1100 cubic feet
Model B: for rooms 1100 to 1300 cubic feet
Model C: for rooms 1300 to 1500 cubic feet

Choose:
a.

b.

10.

A
box is to be wrapped in a shiny
red decorative paper. The box
is 9 inches long, 5 inches wide,
and 4 inches high.

Choose:
a)

a.) What is the
minimum amount of decorative paper needed to
cover the box?

b.) If the box contains confetti, how many cubic
inches of
confetti are needed to fill the box?

Choose:
b)

11.

A cylindrical
container has a diameter of 12 inches and a height of 15
inches, as illustrated in the diagram. What is the
volume of this container to the nearest tenth of a cubic
inch?