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Form B
page 1
You will need a calculator for this test.
In 1 and 2, find the volume of the figure.
1. rectangular prism
2. regular hexagonal prism
1.
2.
3. The cylindrical
barrel of a coffee urn has a diameter of
3.
9.5 inches and a height of 11 inches. About how many
&oz cups of coffee can it hold?
231 cubic inches.
1
liquid gallon
:
considering transferring her flower from a tall
skinny cylindrical vase to a shorter cylindrical vase, and she
wants to save the water because it has the flower food from
the florist in it. ff the first vase has a radius of 1 inch and the
water fills it to a height of 10 inches, how high will the water
reach in a vase with a radius of 2 inches?
4.
Arnie made a snowball with a diameter of 24 cm. Roberto
made a snowball with a diameter of 18 cm. The volume
of Arnie's snowball is how many times the volume of
Roberto's snowball? Round to the nearest tenth.
5.
4. Janna is
5.
6. A pencil manufacfurer puts
6.
12 pencils in a box that is
r
cm long byy cm wide by
z cm high. These small
boxes are shrink wrapped in
stacks that are 2 boxes long,
4 boxes wide, and 6 boxes
high. How does the volume
of the shrink-wrapped set
compare to that of each small box?
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Form B
7.
page 2
7.
a. What multiplication is pictured
at the right?
b. Multiply the poll.nomials.
x
b.
8. An ice cream shop owner is
trying to regulate
how much ice cream his employees serve.
For a small cone, the owner instructs them to
completely fill the cone and place half of a scoop
on top of that. The scoop is a sphere. The small
cone and the scoop both have a diameter of 2 inches.
The cone has a height of 5 inches. Whatvolume of ice
cream should be served?
8.
9.
A regular square pyramid has a slant
height equal to the length of its
9.
a. Write a formula for the surface area
in terms of its base edge, e.
b. Find the surface area of the pyramid tf e : 200
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b.
base edge.
10.
a.
ft.
Determine whether Cavalieri's Principle can be used to
equate the volume of a right hexagonal prism to each of
the following.
A right pentagonal prism with the same base area
and height.
An oblique hexagonal prism with the same base area
and height.
c. An oblique cylinder with the same base area and height.
d. A right hexagonal pyramid with the same base area and
twice the height.
10.
Find the exactvolume of an oblique
cone with the given dimensions.
11.
a.
b.
c.
d.
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Form B
12. Consider the sphere
page 3
12.
at the right. Find its
a.
a. exact volume.
b.
b. exact surface area.
13. A game company manufactures
solid plastic pieces shaped like the
pentagonal prism at the right. What
13.
s mm
volume of plastic does the company
need for each piece?
8mm
ln 14 and 15, consider the diagrams below. Corey is going on a cross{ountry trip
and deciding what luggage to take. He has two bags. One is a cylindrical duffle bag.
The other is a hard suitcase shaped like a rectangular prism.
10 in.
14. Which bag has more interior space? How much more, to
14.
the nearest cubic inch?
15.
Corey plans to put a sticker on his bag for each state he
visits, so he is concerned about the surface area of the
bags. Which bag has a greater surface area? How much
greater, to the nearest square inch?
16. Natalie is decorating a spherical ornament by covering
it
with sequins. ff the ornament is 3 inches in diameter, what
is the total surface area she will need to cover?
15.
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